Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
44891.l1 |
44891l4 |
44891.l |
44891l |
$4$ |
$4$ |
\( 7 \cdot 11^{2} \cdot 53 \) |
\( 7 \cdot 11^{8} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$32648$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$1152000$ |
$2.524727$ |
$1517741639037009596673/44891$ |
$0.98104$ |
$5.89609$ |
$[1, -1, 0, -28969661, -60008231178]$ |
\(y^2+xy=x^3-x^2-28969661x-60008231178\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 88.12.0.?, 308.12.0.?, $\ldots$ |
$[]$ |
57722.u1 |
57722p4 |
57722.u |
57722p |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 19 \cdot 31 \) |
\( 2 \cdot 7^{8} \cdot 19 \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$32984$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$26542080$ |
$3.919670$ |
$2863611978939318479176667557377/55470842$ |
$1.04163$ |
$7.46166$ |
$[1, -1, 1, -14496380044, -671792451945275]$ |
\(y^2+xy+y=x^3-x^2-14496380044x-671792451945275\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 152.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
63732.e1 |
63732e2 |
63732.e |
63732e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 47 \cdot 113 \) |
\( - 2^{4} \cdot 3 \cdot 47^{6} \cdot 113^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$678$ |
$16$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$44978976$ |
$4.178673$ |
$-136018499942074166446647170524905472/46659892381704339$ |
$1.06913$ |
$7.56349$ |
$[0, 1, 0, -26997989069, -1707448165739112]$ |
\(y^2=x^3+x^2-26997989069x-1707448165739112\) |
3.8.0-3.a.1.1, 678.16.0.? |
$[]$ |
74538.e1 |
74538b1 |
74538.e |
74538b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 41 \cdot 101 \) |
\( - 2^{23} \cdot 3^{28} \cdot 41^{2} \cdot 101 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$808$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$406354432$ |
$5.003143$ |
$-13805969873349621810666170282967101953/44693729000087913234432$ |
$1.05078$ |
$8.21012$ |
$[1, -1, 0, -449804275488, -116113592401193984]$ |
\(y^2+xy=x^3-x^2-449804275488x-116113592401193984\) |
808.2.0.? |
$[]$ |
82950.q1 |
82950h4 |
82950.q |
82950h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 79 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 79 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$66360$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$17694720$ |
$3.397804$ |
$28592790601095124959885926401/11944800$ |
$1.01872$ |
$6.63779$ |
$[1, 1, 0, -1592640000, -24464498796000]$ |
\(y^2+xy=x^3+x^2-1592640000x-24464498796000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
85890.a1 |
85890a4 |
85890.a |
85890a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 409 \) |
\( 2^{15} \cdot 3^{44} \cdot 5 \cdot 7^{3} \cdot 409 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$343560$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$519045120$ |
$5.046013$ |
$206996075119269711658444779974034760969/22634587022070950957412654612480$ |
$1.03939$ |
$7.76579$ |
$[1, 1, 0, -123238423168, 16650410268147712]$ |
\(y^2+xy=x^3+x^2-123238423168x+16650410268147712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 57260.12.0.?, $\ldots$ |
$[]$ |
85890.a3 |
85890a1 |
85890.a |
85890a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 409 \) |
\( 2^{60} \cdot 3^{11} \cdot 5 \cdot 7^{3} \cdot 409 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$343560$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$1$ |
$129761280$ |
$4.352867$ |
$2829364361750555252617624980071689/143258689544201790269234872320$ |
$1.02017$ |
$6.77991$ |
$[1, 1, 0, -2946603648, -58810889060352]$ |
\(y^2+xy=x^3+x^2-2946603648x-58810889060352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[]$ |
87690.y1 |
87690v4 |
87690.y |
87690v |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 37 \cdot 79 \) |
\( 2 \cdot 3 \cdot 5 \cdot 37 \cdot 79 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$350760$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$414720$ |
$1.475882$ |
$11312801431192425438721/87690$ |
$0.98121$ |
$4.46162$ |
$[1, 1, 1, -467680, -123298633]$ |
\(y^2+xy+y=x^3+x^2-467680x-123298633\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 296.24.0.?, 4740.12.0.?, $\ldots$ |
$[]$ |
88281.d1 |
88281c2 |
88281.d |
88281c |
$2$ |
$2$ |
\( 3^{2} \cdot 17 \cdot 577 \) |
\( 3^{7} \cdot 17^{5} \cdot 577^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$117708$ |
$12$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$5762560$ |
$3.063087$ |
$1296636283402416332819107777/1418134713459$ |
$1.05008$ |
$6.06073$ |
$[1, -1, 0, -204459516, -1125225015903]$ |
\(y^2+xy=x^3-x^2-204459516x-1125225015903\) |
2.3.0.a.1, 204.6.0.?, 2308.6.0.?, 117708.12.0.? |
$[]$ |
91600.be1 |
91600u1 |
91600.be |
91600u |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 229 \) |
\( 2^{4} \cdot 5^{6} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$4818240$ |
$2.408699$ |
$7199822449910499065856/229$ |
$1.08659$ |
$5.49291$ |
$[0, 0, 0, -25342300, -49104032125]$ |
\(y^2=x^3-25342300x-49104032125\) |
458.2.0.? |
$[]$ |
91982.e3 |
91982e3 |
91982.e |
91982e |
$4$ |
$4$ |
\( 2 \cdot 11 \cdot 37 \cdot 113 \) |
\( - 2^{3} \cdot 11^{4} \cdot 37^{16} \cdot 113 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.103 |
2B |
$904$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$383545344$ |
$5.040466$ |
$-43209969257051916545867814708668296353/163292694790192393569891674882824$ |
$1.08193$ |
$7.58273$ |
$[1, -1, 1, -73106066149, -7632918082152027]$ |
\(y^2+xy+y=x^3-x^2-73106066149x-7632918082152027\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 452.12.0.?, 904.48.0.? |
$[]$ |
96624.bm1 |
96624p6 |
96624.bm |
96624p |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 61 \) |
\( 2^{11} \cdot 3^{16} \cdot 11^{2} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.113 |
2B |
$2928$ |
$192$ |
$1$ |
$1$ |
$144$ |
$2, 3$ |
$1$ |
$115998720$ |
$4.505737$ |
$347250725847084265534751416342274/435840669$ |
$1.05803$ |
$7.76611$ |
$[0, 0, 0, -167362816899, -26353395449053022]$ |
\(y^2=x^3-167362816899x-26353395449053022\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 16.48.0-16.f.2.1, $\ldots$ |
$[]$ |
96624.bm3 |
96624p5 |
96624.bm |
96624p |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 61 \) |
\( - 2^{11} \cdot 3^{46} \cdot 11^{2} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.138 |
2B |
$2928$ |
$192$ |
$1$ |
$1$ |
$144$ |
$2, 3$ |
$1$ |
$115998720$ |
$4.505737$ |
$-84713418182604951694523698274/89735728753299191480181$ |
$1.04248$ |
$7.04157$ |
$[0, 0, 0, -10457518899, -411991459916078]$ |
\(y^2=x^3-10457518899x-411991459916078\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0-8.ba.2.8, $\ldots$ |
$[]$ |
104967.e1 |
104967e4 |
104967.e |
104967e |
$6$ |
$8$ |
\( 3^{2} \cdot 107 \cdot 109 \) |
\( 3^{12} \cdot 107 \cdot 109 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$559824$ |
$192$ |
$1$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$5750784$ |
$3.064358$ |
$10311772153102397835108132097/8502327$ |
$0.99375$ |
$6.14932$ |
$[1, -1, 0, -408111696, -3173238482211]$ |
\(y^2+xy=x^3-x^2-408111696x-3173238482211\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.8, $\ldots$ |
$[]$ |
118215.g1 |
118215f4 |
118215.g |
118215f |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 37 \cdot 71 \) |
\( 3^{11} \cdot 5^{2} \cdot 37^{2} \cdot 71 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1704$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$85524480$ |
$4.043999$ |
$3454173383221741811546792696774401/590483925$ |
$1.02110$ |
$7.17592$ |
$[1, -1, 0, -28343228400, -1836624666764025]$ |
\(y^2+xy=x^3-x^2-28343228400x-1836624666764025\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 426.6.0.?, 568.24.0.?, $\ldots$ |
$[]$ |
120174.d1 |
120174b1 |
120174.d |
120174b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 20029 \) |
\( - 2^{30} \cdot 3^{37} \cdot 20029 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$120174$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$585547200$ |
$4.709564$ |
$-211871906693968042229361606026075737/9683794419795325146294279733248$ |
$1.02387$ |
$6.96071$ |
$[1, 1, 0, -12419855821, -553392997588259]$ |
\(y^2+xy=x^3+x^2-12419855821x-553392997588259\) |
120174.2.0.? |
$[]$ |
120467.a1 |
120467a1 |
120467.a |
120467a |
$1$ |
$1$ |
\( 179 \cdot 673 \) |
\( - 179 \cdot 673 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$240934$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$3929536$ |
$2.077507$ |
$-46921439453372710430593024/120467$ |
$0.97626$ |
$5.05256$ |
$[0, -1, 1, -7514196, -7925646411]$ |
\(y^2+y=x^3-x^2-7514196x-7925646411\) |
240934.2.0.? |
$[]$ |
126830.k1 |
126830d1 |
126830.k |
126830d |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 1153 \) |
\( - 2 \cdot 5^{5} \cdot 11^{13} \cdot 1153 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$507320$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$9551360$ |
$2.612522$ |
$-325309326307634246763249/248779294387202768750$ |
$0.95728$ |
$4.67902$ |
$[1, -1, 1, -1432818, -1005454769]$ |
\(y^2+xy+y=x^3-x^2-1432818x-1005454769\) |
507320.2.0.? |
$[]$ |
127374.r1 |
127374s4 |
127374.r |
127374s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 23 \cdot 71 \) |
\( 2^{2} \cdot 3^{10} \cdot 13 \cdot 23^{4} \cdot 71 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$169832$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$30146560$ |
$3.392689$ |
$173837163478692427400983606934833/61007830823628$ |
$1.00839$ |
$6.31531$ |
$[1, 1, 1, -1162714187, -15260591190067]$ |
\(y^2+xy+y=x^3+x^2-1162714187x-15260591190067\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 184.24.0.?, 3692.24.0.?, 169832.48.0.? |
$[]$ |
127374.r2 |
127374s3 |
127374.r |
127374s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 23 \cdot 71 \) |
\( 2^{2} \cdot 3^{40} \cdot 13 \cdot 23 \cdot 71 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$169832$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$30146560$ |
$3.392689$ |
$43188979801470668100299428273/1032380320121278166065716$ |
$1.02572$ |
$5.60919$ |
$[1, 1, 1, -73094227, -235542320899]$ |
\(y^2+xy+y=x^3+x^2-73094227x-235542320899\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
131850.ck1 |
131850v4 |
131850.ck |
131850v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 293 \) |
\( 2 \cdot 3^{7} \cdot 5^{11} \cdot 293 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$35160$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$64143360$ |
$3.768970$ |
$2781804300077882884219200001/5493750$ |
$1.02350$ |
$6.73835$ |
$[1, -1, 1, -6592500005, -206024964301753]$ |
\(y^2+xy+y=x^3-x^2-6592500005x-206024964301753\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 2344.24.0.?, 35160.48.0.? |
$[]$ |
141470.j1 |
141470d4 |
141470.j |
141470d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 43 \cdot 47 \) |
\( 2 \cdot 5 \cdot 7 \cdot 43 \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$565880$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$565248$ |
$1.583456$ |
$47502120006396959644161/141470$ |
$0.93937$ |
$4.40268$ |
$[1, -1, 1, -754507, -252068099]$ |
\(y^2+xy+y=x^3-x^2-754507x-252068099\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 376.24.0.?, 6020.12.0.?, $\ldots$ |
$[]$ |
146370.x1 |
146370bt4 |
146370.x |
146370bt |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 41 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 17^{2} \cdot 41^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$585480$ |
$96$ |
$1$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$19617914880$ |
$6.618034$ |
$146230186965346547378574986346880159081203422600809/6997213563094831104000$ |
$1.06803$ |
$9.71165$ |
$[1, 0, 1, -1097584017407879, -13996027205512925570998]$ |
\(y^2+xy+y=x^3-1097584017407879x-13996027205512925570998\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 476.6.0.?, 1428.48.0.?, $\ldots$ |
$[]$ |
151305.f1 |
151305a4 |
151305.f |
151305a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 131 \) |
\( 3^{2} \cdot 5 \cdot 7^{3} \cdot 11 \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$403480$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$9707520$ |
$2.736034$ |
$184600018435066296557785678081/22241835$ |
$0.97981$ |
$5.65001$ |
$[1, 0, 0, -118623120, -497291184603]$ |
\(y^2+xy=x^3-118623120x-497291184603\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 524.12.0.?, 1048.24.0.?, $\ldots$ |
$[]$ |
153100.b1 |
153100b1 |
153100.b |
153100b |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 1531 \) |
\( - 2^{8} \cdot 5^{6} \cdot 1531 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3062$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$9963648$ |
$2.935665$ |
$-321736660633468149342208/1531$ |
$1.01669$ |
$5.80708$ |
$[0, 1, 0, -226609933, -1313080984737]$ |
\(y^2=x^3+x^2-226609933x-1313080984737\) |
3062.2.0.? |
$[]$ |
154734.c1 |
154734h2 |
154734.c |
154734h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 37 \cdot 41 \) |
\( - 2^{78} \cdot 3^{16} \cdot 17 \cdot 37 \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$7548$ |
$16$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$162946308096$ |
$7.354919$ |
$-167195469834654008891264195334787383897801853433593/38871698993433318169466832716616912586407936$ |
$1.06762$ |
$9.67773$ |
$[1, 0, 1, -1147713785160360, -14968756858170366750218]$ |
\(y^2+xy+y=x^3-1147713785160360x-14968756858170366750218\) |
3.8.0-3.a.1.1, 2516.2.0.?, 7548.16.0.? |
$[]$ |
158118.p1 |
158118k4 |
158118.p |
158118k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 73 \) |
\( 2^{2} \cdot 3^{28} \cdot 19^{9} \cdot 73 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$33288$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$216760320$ |
$4.217972$ |
$138595307765578440694598953/45818280478984629708$ |
$1.01699$ |
$6.50402$ |
$[1, 1, 1, -3892083422, -93433964954641]$ |
\(y^2+xy+y=x^3+x^2-3892083422x-93433964954641\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 456.24.0.?, 1752.24.0.?, 5548.24.0.?, $\ldots$ |
$[]$ |
158118.p4 |
158118k3 |
158118.p |
158118k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 73 \) |
\( - 2^{2} \cdot 3^{7} \cdot 19^{18} \cdot 73 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$33288$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$216760320$ |
$4.217972$ |
$1578592903798223526264407/1413431760575326679244$ |
$1.01809$ |
$6.13020$ |
$[1, 1, 1, 875701338, -7377963480369]$ |
\(y^2+xy+y=x^3+x^2+875701338x-7377963480369\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 228.12.0.?, 438.6.0.?, $\ldots$ |
$[]$ |
162075.k1 |
162075l4 |
162075.k |
162075l |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 2161 \) |
\( 3^{3} \cdot 5^{7} \cdot 2161 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$259320$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$5308416$ |
$2.551495$ |
$416567630080342104065281/291735$ |
$0.96427$ |
$5.33878$ |
$[1, 1, 0, -38898000, -93393016875]$ |
\(y^2+xy=x^3+x^2-38898000x-93393016875\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
163850.h1 |
163850n4 |
163850.h |
163850n |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 29 \cdot 113 \) |
\( 2^{10} \cdot 5^{7} \cdot 29 \cdot 113 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$262160$ |
$192$ |
$3$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$35389440$ |
$3.475895$ |
$79242670564908430919822213121/16778240$ |
$1.02916$ |
$6.34636$ |
$[1, -1, 0, -2237098667, -40725821947259]$ |
\(y^2+xy=x^3-x^2-2237098667x-40725821947259\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
187198.j1 |
187198f1 |
187198.j |
187198f |
$1$ |
$1$ |
\( 2 \cdot 11 \cdot 67 \cdot 127 \) |
\( 2 \cdot 11^{9} \cdot 67 \cdot 127 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$748792$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$9856512$ |
$2.330490$ |
$37772317699624530642983553/40127553805438$ |
$0.95987$ |
$4.85124$ |
$[1, -1, 1, -6990099, -7111584395]$ |
\(y^2+xy+y=x^3-x^2-6990099x-7111584395\) |
748792.2.0.? |
$[]$ |
189630.cc1 |
189630ct4 |
189630.cc |
189630ct |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{8} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$36120$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$4812963840$ |
$5.792618$ |
$73787408641299636275795674005528576001/16384032000$ |
$1.06633$ |
$8.67793$ |
$[1, -1, 0, -38535243264009, -92073621520529823987]$ |
\(y^2+xy=x^3-x^2-38535243264009x-92073621520529823987\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 168.12.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
191222.a1 |
191222c1 |
191222.a |
191222c |
$1$ |
$1$ |
\( 2 \cdot 23 \cdot 4157 \) |
\( 2^{24} \cdot 23 \cdot 4157 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$382444$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$286607232$ |
$4.438126$ |
$419976277336214594657900022492895524553/1604086398976$ |
$1.01788$ |
$7.31287$ |
$[1, 1, 0, -156015237244, -23719188559605040]$ |
\(y^2+xy=x^3+x^2-156015237244x-23719188559605040\) |
382444.2.0.? |
$[]$ |
200200.ba1 |
200200bm4 |
200200.ba |
200200bm |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 5^{9} \cdot 7 \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$40040$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$1$ |
$10911744$ |
$2.897980$ |
$8216602123265632096002/125125$ |
$0.98065$ |
$5.54938$ |
$[0, 0, 0, -133466675, -593481759250]$ |
\(y^2=x^3-133466675x-593481759250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 8008.24.0.?, $\ldots$ |
$[]$ |
209405.d1 |
209405d1 |
209405.d |
209405d |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 31 \cdot 193 \) |
\( - 5 \cdot 7^{25} \cdot 31^{2} \cdot 193 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$13510$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$297033600$ |
$3.978344$ |
$-43042973578157660087409027526656/1243660100474672810236883555$ |
$0.99866$ |
$5.94910$ |
$[0, 0, 1, -730117657, -7780672327743]$ |
\(y^2+y=x^3-730117657x-7780672327743\) |
13510.2.0.? |
$[]$ |
212850.co1 |
212850z4 |
212850.co |
212850z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 43 \) |
\( 2 \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$56760$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$14450688$ |
$2.897121$ |
$27741081432830042816001/118250$ |
$1.00313$ |
$5.53665$ |
$[1, -1, 1, -141900005, -650576014253]$ |
\(y^2+xy+y=x^3-x^2-141900005x-650576014253\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 344.12.0.?, $\ldots$ |
$[]$ |
215670.cc1 |
215670be4 |
215670.cc |
215670be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 79 \) |
\( 2 \cdot 3^{7} \cdot 5 \cdot 7 \cdot 13^{3} \cdot 79^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$130056192$ |
$3.854839$ |
$639204442789719786117939092335681/510262450395784145407530$ |
$1.00410$ |
$6.15053$ |
$[1, 1, 1, -1794618020, -29262872033413]$ |
\(y^2+xy+y=x^3+x^2-1794618020x-29262872033413\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 104.24.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
223278.x3 |
223278m3 |
223278.x |
223278m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 199 \) |
\( - 2^{2} \cdot 3^{36} \cdot 11^{4} \cdot 17 \cdot 199 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$893112$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$168542208$ |
$3.867809$ |
$-102992969867220771567901171592833/29737051135447683414751452$ |
$0.99959$ |
$5.98503$ |
$[1, 1, 1, -976550312, -11749338109051]$ |
\(y^2+xy+y=x^3+x^2-976550312x-11749338109051\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 6766.6.0.?, 13532.24.0.?, $\ldots$ |
$[]$ |
225552.h1 |
225552w1 |
225552.h |
225552w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 37 \cdot 127 \) |
\( - 2^{10} \cdot 3^{17} \cdot 37 \cdot 127^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56388$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$86952960$ |
$3.809933$ |
$-462166698786984065847470354500/157863475187545153617$ |
$1.01373$ |
$6.10379$ |
$[0, -1, 0, -1623522448, -25178297121296]$ |
\(y^2=x^3-x^2-1623522448x-25178297121296\) |
56388.2.0.? |
$[]$ |
230318.g2 |
230318g2 |
230318.g |
230318g |
$2$ |
$2$ |
\( 2 \cdot 11 \cdot 19^{2} \cdot 29 \) |
\( - 2 \cdot 11^{10} \cdot 19^{9} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$48488$ |
$12$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$41344000$ |
$3.250591$ |
$-3125135501907427/1504370626858$ |
$0.92883$ |
$5.08483$ |
$[1, 1, 0, -20891799, -49754155717]$ |
\(y^2+xy=x^3+x^2-20891799x-49754155717\) |
2.3.0.a.1, 836.6.0.?, 2552.6.0.?, 4408.6.0.?, 48488.12.0.? |
$[]$ |
232162.z4 |
232162z4 |
232162.z |
232162z |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 103 \) |
\( - 2 \cdot 7^{22} \cdot 23 \cdot 103 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$132664$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$15925248$ |
$2.963581$ |
$-94312750240031575617/157457625038769538$ |
$0.95522$ |
$4.77740$ |
$[1, -1, 1, -4646704, -7597862555]$ |
\(y^2+xy+y=x^3-x^2-4646704x-7597862555\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.2, 18952.24.0.?, $\ldots$ |
$[]$ |
236610.k1 |
236610k4 |
236610.k |
236610k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 239 \) |
\( 2^{2} \cdot 3^{13} \cdot 5^{2} \cdot 11^{4} \cdot 239 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5736$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$5725224960$ |
$5.723648$ |
$7519209231586058781664188717242851938278401/765274821300$ |
$1.05536$ |
$8.51109$ |
$[1, -1, 0, -36733191422400, -85691167522479504900]$ |
\(y^2+xy=x^3-x^2-36733191422400x-85691167522479504900\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 1434.6.0.?, 1912.24.0.?, $\ldots$ |
$[]$ |
246870.u2 |
246870u4 |
246870.u |
246870u |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 211 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{24} \cdot 13 \cdot 211^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$32916$ |
$96$ |
$1$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$537477120$ |
$4.590530$ |
$-136699263667559766824830682657883/551960945129394531250000$ |
$1.03913$ |
$6.75569$ |
$[1, -1, 1, -28976410478, -1898518569510419]$ |
\(y^2+xy+y=x^3-x^2-28976410478x-1898518569510419\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 2532.48.0.?, $\ldots$ |
$[]$ |
250950.o1 |
250950o4 |
250950.o |
250950o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 239 \) |
\( 2^{5} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 239 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$200760$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$16220160$ |
$2.780979$ |
$8688232560449455273451521/803040$ |
$0.97865$ |
$5.39537$ |
$[1, 0, 1, -107072001, -426452903852]$ |
\(y^2+xy+y=x^3-107072001x-426452903852\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.bb.1, 280.24.0.?, $\ldots$ |
$[]$ |
251430.x2 |
251430x2 |
251430.x |
251430x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 29 \) |
\( 2^{26} \cdot 3^{2} \cdot 5^{2} \cdot 17^{14} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$59160$ |
$48$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$2$ |
$4830658560$ |
$5.747383$ |
$4476118678948814438027080454373001/62652984526020096272262758400$ |
$1.07974$ |
$7.59823$ |
$[1, 0, 1, -992256158319, -375809011497138974]$ |
\(y^2+xy+y=x^3-992256158319x-375809011497138974\) |
2.6.0.a.1, 120.12.0.?, 340.12.0.?, 408.12.0.?, 580.12.0.?, $\ldots$ |
$[]$ |
252396.h1 |
252396h2 |
252396.h |
252396h |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{4} \cdot 19 \cdot 41 \) |
\( - 2^{8} \cdot 3^{12} \cdot 19^{3} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$4674$ |
$16$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$54447552$ |
$3.478645$ |
$-4559319104174423131226112/281219$ |
$1.05634$ |
$6.07036$ |
$[0, 0, 0, -1776739536, -28825958904012]$ |
\(y^2=x^3-1776739536x-28825958904012\) |
3.8.0-3.a.1.1, 1558.2.0.?, 4674.16.0.? |
$[]$ |
257721.c1 |
257721c1 |
257721.c |
257721c |
$1$ |
$1$ |
\( 3 \cdot 271 \cdot 317 \) |
\( 3^{13} \cdot 271^{7} \cdot 317^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1626$ |
$2$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$1679618304$ |
$5.150787$ |
$52237430007453749240946221153789882368/1728217491414642017152912304896653$ |
$1.02535$ |
$6.97042$ |
$[0, -1, 1, -77878820142, 8122607754428423]$ |
\(y^2+y=x^3-x^2-77878820142x+8122607754428423\) |
1626.2.0.? |
$[]$ |
262848.p2 |
262848p1 |
262848.p |
262848p |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{15} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$144$ |
$2, 3$ |
$1$ |
$312560640$ |
$4.282059$ |
$12100888248456939565096000/19643653683$ |
$1.10099$ |
$6.69745$ |
$[0, -1, 0, -26191555128, -1631502403217514]$ |
\(y^2=x^3-x^2-26191555128x-1631502403217514\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
268554.m1 |
268554m4 |
268554.m |
268554m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 313 \) |
\( 2^{15} \cdot 3 \cdot 11^{3} \cdot 13 \cdot 313^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1074216$ |
$96$ |
$1$ |
$1$ |
$144$ |
$2, 3$ |
$0$ |
$149299200$ |
$3.849007$ |
$82565323956670620859293441465771625/166640773398528$ |
$1.01131$ |
$6.43150$ |
$[1, 0, 1, -9071755271, -332572311811126]$ |
\(y^2+xy+y=x^3-9071755271x-332572311811126\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 1252.6.0.?, 3432.48.0.?, $\ldots$ |
$[]$ |
277550.o1 |
277550o5 |
277550.o |
277550o |
$6$ |
$18$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 61 \) |
\( 2^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13^{9} \cdot 61^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$999180$ |
$864$ |
$21$ |
$1$ |
$144$ |
$2, 3$ |
$1$ |
$1433272320$ |
$5.115990$ |
$17537543587292681259381276359005670641/154680621294377360$ |
$1.06727$ |
$7.61256$ |
$[1, 1, 0, -1353178303375, -605872242860392875]$ |
\(y^2+xy=x^3+x^2-1353178303375x-605872242860392875\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |