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 |
26.b2 |
26b1 |
26.b |
26b |
$2$ |
$7$ |
\( 2 \cdot 13 \) |
\( - 2^{7} \cdot 13 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$728$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.683161$ |
$-2146689/1664$ |
$0.96784$ |
$4.73570$ |
$[1, -1, 1, -3, 3]$ |
\(y^2+xy+y=x^3-x^2-3x+3\) |
7.48.0-7.a.1.2, 104.2.0.?, 728.96.2.? |
$[]$ |
174.e2 |
174b1 |
174.e |
174b |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 29 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$28$ |
$0.004691$ |
$-117649/8118144$ |
$1.24364$ |
$4.52880$ |
$[1, 0, 0, -1, 137]$ |
\(y^2+xy=x^3-x+137\) |
7.48.0-7.a.1.2, 696.2.0.?, 4872.96.2.? |
$[]$ |
258.f2 |
258f1 |
258.f |
258f |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3^{7} \cdot 43 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$3612$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$168$ |
$0.445967$ |
$444369620591/1540767744$ |
$0.99664$ |
$5.11937$ |
$[1, 0, 0, 159, 1737]$ |
\(y^2+xy=x^3+159x+1737\) |
7.48.0-7.a.1.2, 516.2.0.?, 3612.96.2.? |
$[]$ |
294.f1 |
294b2 |
294.f |
294b |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{2} \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$168$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$84$ |
$0.134477$ |
$-6329617441/279936$ |
$1.03234$ |
$4.66853$ |
$[1, 0, 0, -141, 657]$ |
\(y^2+xy=x^3-141x+657\) |
7.48.0-7.a.1.2, 24.2.0.b.1, 168.96.2.? |
$[]$ |
490.e2 |
490k2 |
490.e |
490k |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$140$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$840$ |
$0.760131$ |
$1747829720511/1280000000$ |
$1.08633$ |
$5.17906$ |
$[1, -1, 1, 918, 5289]$ |
\(y^2+xy+y=x^3-x^2+918x+5289\) |
7.48.0-7.a.1.2, 20.2.0.a.1, 140.96.2.? |
$[]$ |
546.f2 |
546f1 |
546.f |
546f |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$2184$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$1176$ |
$1.073593$ |
$40251338884511/2997011332224$ |
$1.03878$ |
$5.73977$ |
$[1, 0, 0, 714, -82908]$ |
\(y^2+xy=x^3+714x-82908\) |
7.48.0-7.a.1.2, 2184.96.2.? |
$[]$ |
574.g2 |
574i1 |
574.g |
574i |
$2$ |
$7$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{21} \cdot 7^{7} \cdot 41 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$2296$ |
$96$ |
$2$ |
$1.067382481$ |
$1$ |
|
$20$ |
$3528$ |
$1.397785$ |
$801581275315909089/70810888830976$ |
$1.01610$ |
$6.48950$ |
$[1, -1, 1, -19353, 958713]$ |
\(y^2+xy+y=x^3-x^2-19353x+958713\) |
7.48.0-7.a.1.2, 2296.96.2.? |
$[(61, 18)]$ |
678.e2 |
678d1 |
678.e |
678d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 113 \) |
\( - 2^{14} \cdot 3^{7} \cdot 113 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$4746$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$504$ |
$0.671493$ |
$-506814405937489/4048994304$ |
$0.97498$ |
$5.19591$ |
$[1, 0, 0, -1661, 26097]$ |
\(y^2+xy=x^3-1661x+26097\) |
7.48.0-7.a.1.2, 678.2.0.?, 4746.96.2.? |
$[]$ |
762.f2 |
762g1 |
762.f |
762g |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 127 \) |
\( 2^{21} \cdot 3^{14} \cdot 127 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$7112$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$3696$ |
$1.713518$ |
$117174888570509216929/1273887851544576$ |
$1.02382$ |
$6.96362$ |
$[1, 0, 0, -101946, 12401892]$ |
\(y^2+xy=x^3-101946x+12401892\) |
7.48.0-7.a.1.2, 1016.2.0.?, 7112.96.2.? |
$[]$ |
858.k1 |
858k1 |
858.k |
858k |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \) |
\( - 2^{7} \cdot 3^{14} \cdot 11^{7} \cdot 13^{3} \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$8008$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$35280$ |
$2.635818$ |
$-21293376668673906679951249/26211168887701209984$ |
$1.05359$ |
$8.63449$ |
$[1, 0, 0, -5774401, 5346023177]$ |
\(y^2+xy=x^3-5774401x+5346023177\) |
7.48.0-7.a.1.2, 1144.2.0.?, 8008.96.2.? |
$[]$ |
1230.k2 |
1230k1 |
1230.k |
1230k |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 41 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$34440$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$1960$ |
$0.982284$ |
$1354330706847119/896670000000$ |
$0.99419$ |
$4.89715$ |
$[1, 0, 0, 2305, -15975]$ |
\(y^2+xy=x^3+2305x-15975\) |
7.48.0-7.a.1.2, 4920.2.0.?, 34440.96.2.? |
$[]$ |
2110.e1 |
2110h1 |
2110.e |
2110h |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 211 \) |
\( - 2^{14} \cdot 5^{7} \cdot 211 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$14770$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$5600$ |
$1.077579$ |
$-125180837135497521/270080000000$ |
$1.02427$ |
$5.14371$ |
$[1, -1, 1, -10422, 412869]$ |
\(y^2+xy+y=x^3-x^2-10422x+412869\) |
7.48.0-7.a.1.2, 2110.2.0.?, 14770.96.2.? |
$[]$ |
4730.d1 |
4730k1 |
4730.d |
4730k |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 11 \cdot 43 \) |
\( - 2^{7} \cdot 5^{7} \cdot 11^{7} \cdot 43^{2} \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$3080$ |
$96$ |
$2$ |
$0.982057305$ |
$1$ |
|
$20$ |
$219520$ |
$2.493233$ |
$-19237750463016353596082481/360317791790000000$ |
$1.02313$ |
$6.88031$ |
$[1, -1, 1, -5582262, 5077966149]$ |
\(y^2+xy+y=x^3-x^2-5582262x+5077966149\) |
7.48.0-7.a.1.2, 440.2.0.?, 3080.96.2.? |
$[(1377, 171)]$ |
5010.h2 |
5010h1 |
5010.h |
5010h |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 167 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 167 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$140280$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$9408$ |
$1.092737$ |
$-358531401121921/3652290000000$ |
$0.96117$ |
$4.27697$ |
$[1, 0, 0, -1480, 94400]$ |
\(y^2+xy=x^3-1480x+94400\) |
7.48.0-7.a.1.2, 20040.2.0.?, 140280.96.2.? |
$[]$ |
6378.d1 |
6378c1 |
6378.d |
6378c |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{21} \cdot 3^{14} \cdot 1063 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$59528$ |
$96$ |
$2$ |
$2.883891156$ |
$1$ |
|
$14$ |
$98784$ |
$2.132988$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$6.10287$ |
$[1, 0, 0, -1144386, 471132612]$ |
\(y^2+xy=x^3-1144386x+471132612\) |
7.48.0-7.a.1.2, 8504.2.0.?, 59528.96.2.? |
$[(596, 638)]$ |
6690.j2 |
6690j1 |
6690.j |
6690j |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 223 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 223 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$187320$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$19992$ |
$1.165943$ |
$-34773983355859201/4877010000000$ |
$0.94215$ |
$4.34867$ |
$[1, 0, 0, -6800, 240000]$ |
\(y^2+xy=x^3-6800x+240000\) |
7.48.0-7.a.1.2, 26760.2.0.?, 187320.96.2.? |
$[]$ |
7530.l2 |
7530l1 |
7530.l |
7530l |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 251 \) |
\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 251 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$70280$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$122304$ |
$1.961704$ |
$4698278114490760338721/12005252190000000$ |
$1.02756$ |
$5.59017$ |
$[1, 0, 0, -348930, 79128900]$ |
\(y^2+xy=x^3-348930x+79128900\) |
7.48.0-7.a.1.2, 10040.2.0.?, 70280.96.2.? |
$[]$ |
10470.d1 |
10470d1 |
10470.d |
10470d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 349 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$293160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$38808$ |
$1.406019$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.73052$ |
$[1, 0, 0, -45435, 3726225]$ |
\(y^2+xy=x^3-45435x+3726225\) |
7.48.0-7.a.1.2, 41880.2.0.?, 293160.96.2.? |
$[]$ |
10766.e1 |
10766h1 |
10766.e |
10766h |
$2$ |
$7$ |
\( 2 \cdot 7 \cdot 769 \) |
\( - 2^{21} \cdot 7^{7} \cdot 769 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$43064$ |
$96$ |
$2$ |
$3.091150269$ |
$1$ |
|
$12$ |
$204624$ |
$1.921877$ |
$-10096027515422913423969/1328135939293184$ |
$0.98258$ |
$5.45733$ |
$[1, -1, 1, -450273, 116420913]$ |
\(y^2+xy+y=x^3-x^2-450273x+116420913\) |
7.48.0-7.a.1.2, 43064.96.2.? |
$[(119, 7972)]$ |
15918.w2 |
15918w1 |
15918.w |
15918w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 379 \) |
\( - 2^{7} \cdot 3^{14} \cdot 7^{7} \cdot 379 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$21224$ |
$96$ |
$2$ |
$2.841313466$ |
$1$ |
|
$14$ |
$164640$ |
$2.001930$ |
$149717146211547812351/191087828767269504$ |
$0.97452$ |
$4.82079$ |
$[1, 0, 0, 110624, 15558272]$ |
\(y^2+xy=x^3+110624x+15558272\) |
7.48.0-7.a.1.2, 21224.96.2.? |
$[(-34, 3446)]$ |
19110.cz1 |
19110db2 |
19110.cz |
19110db |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{21} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$10920$ |
$96$ |
$2$ |
$1.756687476$ |
$1$ |
|
$20$ |
$197568$ |
$2.011024$ |
$-131425499875625809/4658135040000000$ |
$1.08246$ |
$4.81236$ |
$[1, 0, 0, -38760, 23169600]$ |
\(y^2+xy=x^3-38760x+23169600\) |
7.48.0-7.a.1.2, 1560.2.0.?, 10920.96.2.? |
$[(-330, 390)]$ |
20510.c2 |
20510e1 |
20510.c |
20510e |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{7} \cdot 293 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$82040$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$395136$ |
$1.631819$ |
$97487796040631919/2412980990000000$ |
$0.96304$ |
$4.31586$ |
$[1, -1, 1, 9588, 2333199]$ |
\(y^2+xy+y=x^3-x^2+9588x+2333199\) |
7.48.0-7.a.1.2, 82040.96.2.? |
$[]$ |
20622.j2 |
20622k1 |
20622.j |
20622k |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 491 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{7} \cdot 491 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$20622$ |
$96$ |
$2$ |
$1.863909993$ |
$1$ |
|
$16$ |
$142688$ |
$1.786497$ |
$-3730574781442415089/14488936015970304$ |
$0.96168$ |
$4.51029$ |
$[1, 0, 0, -32311, 6205097]$ |
\(y^2+xy=x^3-32311x+6205097\) |
7.48.0-7.a.1.2, 20622.96.2.? |
$[(2, 2477)]$ |
22386.y1 |
22386w1 |
22386.y |
22386w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$89544$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$131712$ |
$1.682590$ |
$-418288977642645996769/122877464621184$ |
$0.95761$ |
$4.74065$ |
$[1, 0, 0, -155806, 23664452]$ |
\(y^2+xy=x^3-155806x+23664452\) |
7.48.0-7.a.1.2, 89544.96.2.? |
$[]$ |
24882.bi2 |
24882bj1 |
24882.bi |
24882bj |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{7} \cdot 3^{14} \cdot 11^{7} \cdot 13 \cdot 29 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$232232$ |
$96$ |
$2$ |
$4.656059403$ |
$1$ |
|
$10$ |
$482944$ |
$2.268608$ |
$7721758769769063671471/4497774542859970944$ |
$1.01613$ |
$4.97914$ |
$[1, 0, 0, 411779, 8250737]$ |
\(y^2+xy=x^3+411779x+8250737\) |
7.48.0-7.a.1.2, 33176.2.0.?, 232232.96.2.? |
$[(3446, 204071)]$ |
25242.f2 |
25242f1 |
25242.f |
25242f |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{7} \cdot 601 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$50484$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$218736$ |
$1.837967$ |
$-78731237277328508209/17734929828102144$ |
$0.95180$ |
$4.55210$ |
$[1, 0, 0, -89291, 12097137]$ |
\(y^2+xy=x^3-89291x+12097137\) |
7.48.0-7.a.1.2, 50484.96.2.? |
$[]$ |
27690.bg2 |
27690bc1 |
27690.bg |
27690bc |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 \) |
\( - 2^{21} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 71 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$775320$ |
$96$ |
$2$ |
$1.751933353$ |
$1$ |
|
$18$ |
$526848$ |
$2.104267$ |
$-3591362198523471528961/330727587840000000$ |
$1.04205$ |
$4.86669$ |
$[1, 0, 0, -319040, 74649600]$ |
\(y^2+xy=x^3-319040x+74649600\) |
7.48.0-7.a.1.2, 110760.2.0.?, 775320.96.2.? |
$[(0, 8640)]$ |
32370.bj2 |
32370bg1 |
32370.bj |
32370bg |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{7} \cdot 13 \cdot 83 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$75530$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$812224$ |
$2.299004$ |
$-2604150083359733274001/6605854145280000000$ |
$0.97468$ |
$4.91043$ |
$[1, 0, 0, -286625, 137015625]$ |
\(y^2+xy=x^3-286625x+137015625\) |
7.48.0-7.a.1.2, 10790.2.0.?, 75530.96.2.? |
$[]$ |
32370.bk2 |
32370bk1 |
32370.bk |
32370bk |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 13^{7} \cdot 83 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$906360$ |
$96$ |
$2$ |
$1.375890209$ |
$1$ |
|
$20$ |
$998816$ |
$2.544449$ |
$260267950003303480801681/113901735543570000000$ |
$0.98731$ |
$5.19173$ |
$[1, 0, 0, -1330145, 291422025]$ |
\(y^2+xy=x^3-1330145x+291422025\) |
7.48.0-7.a.1.2, 129480.2.0.?, 906360.96.2.? |
$[(190, 6655)]$ |
37830.bd2 |
37830z1 |
37830.bd |
37830z |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{7} \cdot 13 \cdot 97 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$176540$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$1141504$ |
$2.338779$ |
$-26317019808774730149841/7720094603520000000$ |
$0.96779$ |
$4.93646$ |
$[1, 0, 0, -619685, 230436225]$ |
\(y^2+xy=x^3-619685x+230436225\) |
7.48.0-7.a.1.2, 25220.2.0.?, 176540.96.2.? |
$[]$ |
40310.p2 |
40310bd1 |
40310.p |
40310bd |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 29 \cdot 139 \) |
\( - 2^{14} \cdot 5^{14} \cdot 29^{7} \cdot 139 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$56434$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$29503488$ |
$3.750435$ |
$-107350761560343751123953328881/239773280695100000000000000$ |
$1.02080$ |
$6.45271$ |
$[1, -1, 1, -99013362, -835939931151]$ |
\(y^2+xy+y=x^3-x^2-99013362x-835939931151\) |
7.48.0-7.a.1.2, 8062.2.0.?, 56434.96.2.? |
$[]$ |
42042.db1 |
42042dk2 |
42042.db |
42042dk |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$6006$ |
$96$ |
$2$ |
$2.500424069$ |
$1$ |
|
$12$ |
$1119552$ |
$2.361942$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$5.22311$ |
$[1, 0, 0, -2337511, 1374987977]$ |
\(y^2+xy=x^3-2337511x+1374987977\) |
7.48.0-7.a.1.2, 858.2.0.?, 6006.96.2.? |
$[(866, 161)]$ |
42630.dh1 |
42630dl2 |
42630.dh |
42630dl |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$8120$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$1251264$ |
$2.322010$ |
$-41114420704407863185009/1387061010000000$ |
$1.01191$ |
$5.24961$ |
$[1, 0, 0, -2631210, 1642616100]$ |
\(y^2+xy=x^3-2631210x+1642616100\) |
7.48.0-7.a.1.2, 1160.2.0.?, 8120.96.2.? |
$[]$ |
42978.u1 |
42978r1 |
42978.u |
42978r |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 29 \) |
\( - 2^{28} \cdot 3^{7} \cdot 13 \cdot 19^{7} \cdot 29^{2} \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$20748$ |
$96$ |
$2$ |
$2.575230045$ |
$1$ |
|
$16$ |
$11063808$ |
$3.700325$ |
$-10748395438529140294639078020769/5737242625602477531070464$ |
$1.01767$ |
$6.69762$ |
$[1, 0, 0, -459769306, 3796241996132]$ |
\(y^2+xy=x^3-459769306x+3796241996132\) |
7.48.0-7.a.1.2, 2964.2.0.?, 20748.96.2.? |
$[(9812, 474326)]$ |
43190.g2 |
43190s1 |
43190.g |
43190s |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{7} \cdot 617 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$172760$ |
$96$ |
$2$ |
$1.838466062$ |
$1$ |
|
$16$ |
$872592$ |
$1.811062$ |
$-289581579184798874961/5081260310000000$ |
$0.93986$ |
$4.41706$ |
$[1, -1, 1, -137832, 20026539]$ |
\(y^2+xy+y=x^3-x^2-137832x+20026539\) |
7.48.0-7.a.1.2, 172760.96.2.? |
$[(97, 2701)]$ |
46090.g2 |
46090p1 |
46090.g |
46090p |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 11 \cdot 419 \) |
\( 2^{7} \cdot 5^{7} \cdot 11^{7} \cdot 419 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$1290520$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$1419824$ |
$2.174126$ |
$99964020929586731506161/81651246490000000$ |
$0.96294$ |
$4.93177$ |
$[1, -1, 1, -966882, 365921889]$ |
\(y^2+xy+y=x^3-x^2-966882x+365921889\) |
7.48.0-7.a.1.2, 184360.2.0.?, 1290520.96.2.? |
$[]$ |
52878.g2 |
52878f1 |
52878.g |
52878f |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 1259 \) |
\( - 2^{7} \cdot 3^{14} \cdot 7^{7} \cdot 1259 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$70504$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$952560$ |
$2.272884$ |
$-158531287603583609503489/634774607963040384$ |
$0.96446$ |
$4.91250$ |
$[1, 0, 0, -1127536, 462330752]$ |
\(y^2+xy=x^3-1127536x+462330752\) |
7.48.0-7.a.1.2, 70504.96.2.? |
$[]$ |
61446.cv1 |
61446de2 |
61446.cv |
61446de |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 7^{2} \cdot 11^{7} \cdot 19^{7} \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$35112$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$6750240$ |
$3.180634$ |
$10593712059133697959507441/4876213982377385856384$ |
$1.03532$ |
$5.57905$ |
$[1, 0, 0, -16743266, -11929605948]$ |
\(y^2+xy=x^3-16743266x-11929605948\) |
7.48.0-7.a.1.2, 5016.2.0.?, 35112.96.2.? |
$[]$ |
63870.o2 |
63870p1 |
63870.o |
63870p |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 2129 \) |
\( 2^{28} \cdot 3^{7} \cdot 5^{7} \cdot 2129 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$894180$ |
$96$ |
$2$ |
$2.769031518$ |
$1$ |
|
$16$ |
$4346496$ |
$2.958923$ |
$5105817686570071165887579841/97645976616960000000$ |
$0.99329$ |
$5.76615$ |
$[1, 0, 0, -35874060, 82698195600]$ |
\(y^2+xy=x^3-35874060x+82698195600\) |
7.48.0-7.a.1.2, 127740.2.0.?, 894180.96.2.? |
$[(3470, -1360)]$ |
64974.bw1 |
64974bx2 |
64974.bw |
64974bx |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{21} \cdot 3^{14} \cdot 7^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$952$ |
$96$ |
$2$ |
$2.117914511$ |
$1$ |
|
$14$ |
$14620032$ |
$3.605724$ |
$-1521059241134755603512440881/695595284594977727840256$ |
$1.03669$ |
$6.05170$ |
$[1, 0, 0, -87674406, 422770263012]$ |
\(y^2+xy=x^3-87674406x+422770263012\) |
7.48.0-7.a.1.2, 136.2.0.?, 952.96.2.? |
$[(5454, 324132)]$ |
68354.f2 |
68354i1 |
68354.f |
68354i |
$2$ |
$7$ |
\( 2 \cdot 11 \cdot 13 \cdot 239 \) |
\( - 2^{7} \cdot 11^{7} \cdot 13^{7} \cdot 239 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$1913912$ |
$96$ |
$2$ |
$8.050019047$ |
$1$ |
|
$6$ |
$3040352$ |
$2.441307$ |
$26515285573583988393471/37407624743081250944$ |
$1.04399$ |
$4.67059$ |
$[1, -1, 1, 621237, -226146597]$ |
\(y^2+xy+y=x^3-x^2+621237x-226146597\) |
7.48.0-7.a.1.2, 273416.2.0.?, 1913912.96.2.? |
$[(38889/5, 8290302/5)]$ |
69366.u2 |
69366w1 |
69366.u |
69366w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 11 \cdot 1051 \) |
\( - 2^{21} \cdot 3^{7} \cdot 11^{7} \cdot 1051 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$1942248$ |
$96$ |
$2$ |
$4.419910427$ |
$1$ |
|
$10$ |
$1893360$ |
$2.513470$ |
$8822561460536124355391/93935597925332680704$ |
$0.97730$ |
$4.78938$ |
$[1, 0, 0, 430484, 453494672]$ |
\(y^2+xy=x^3+430484x+453494672\) |
7.48.0-7.a.1.2, 277464.2.0.?, 1942248.96.2.? |
$[(176, 23036)]$ |
71058.m2 |
71058l1 |
71058.m |
71058l |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 13 \cdot 911 \) |
\( 2^{14} \cdot 3^{7} \cdot 13^{7} \cdot 911 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$497406$ |
$96$ |
$2$ |
$3.144633053$ |
$1$ |
|
$12$ |
$2304960$ |
$2.531094$ |
$14828809162780998661814929/2048285853033578496$ |
$0.97459$ |
$5.18819$ |
$[1, 0, 0, -5118321, 4456008297]$ |
\(y^2+xy=x^3-5118321x+4456008297\) |
7.48.0-7.a.1.2, 71058.2.0.?, 497406.96.2.? |
$[(1242, 3291)]$ |
71630.v2 |
71630x1 |
71630.v |
71630x |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 13 \cdot 19 \cdot 29 \) |
\( 2^{14} \cdot 5^{7} \cdot 13^{2} \cdot 19^{7} \cdot 29 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$77140$ |
$96$ |
$2$ |
$2.257087381$ |
$1$ |
|
$12$ |
$26254592$ |
$3.407303$ |
$2074815747201021028933709986641/5607507702833920000000$ |
$1.00689$ |
$6.24436$ |
$[1, -1, 1, -265716552, 1667217712779]$ |
\(y^2+xy+y=x^3-x^2-265716552x+1667217712779\) |
7.48.0-7.a.1.2, 11020.2.0.?, 77140.96.2.? |
$[(9337, 7681)]$ |
88270.k2 |
88270u1 |
88270.k |
88270u |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 13 \cdot 97 \) |
\( - 2^{35} \cdot 5^{14} \cdot 7^{7} \cdot 13^{2} \cdot 97 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$5432$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$285815040$ |
$4.529541$ |
$2455872791358451393794120395694399/2831226586844364800000000000000$ |
$1.02937$ |
$6.75121$ |
$[1, -1, 1, 2810783433, 57129831452559]$ |
\(y^2+xy+y=x^3-x^2+2810783433x+57129831452559\) |
7.48.0-7.a.1.2, 5432.96.2.? |
$[]$ |
91358.d2 |
91358e1 |
91358.d |
91358e |
$2$ |
$7$ |
\( 2 \cdot 17 \cdot 2687 \) |
\( 2^{28} \cdot 17^{7} \cdot 2687 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$1279012$ |
$96$ |
$2$ |
$5.981192108$ |
$1$ |
|
$8$ |
$18665472$ |
$3.081669$ |
$26700832091472147512881229889/295971568928797229056$ |
$1.02359$ |
$5.73029$ |
$[1, -1, 1, -62268303, 189138631383]$ |
\(y^2+xy+y=x^3-x^2-62268303x+189138631383\) |
7.48.0-7.a.1.2, 182716.2.0.?, 1279012.96.2.? |
$[(4621, 5170)]$ |
98826.p2 |
98826t1 |
98826.p |
98826t |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 181 \) |
\( - 2^{7} \cdot 3^{21} \cdot 7^{7} \cdot 13^{7} \cdot 181^{2} \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$2184$ |
$96$ |
$2$ |
$1.983812466$ |
$1$ |
|
$12$ |
$169645056$ |
$4.528114$ |
$-4095503324447959733993040498942529/2266747861853082876455402377344$ |
$1.02271$ |
$6.78772$ |
$[1, 0, 0, -3333198596, 103601868154512]$ |
\(y^2+xy=x^3-3333198596x+103601868154512\) |
7.48.0-7.a.1.2, 2184.96.2.? |
$[(18382, 6958042)]$ |
101478.k2 |
101478k1 |
101478.k |
101478k |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 13 \cdot 1301 \) |
\( - 2^{28} \cdot 3^{7} \cdot 13^{7} \cdot 1301 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$710346$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$6$ |
$9985024$ |
$3.041218$ |
$78975693098270145722349791/47925805879636550221824$ |
$1.11876$ |
$5.17291$ |
$[1, 0, 0, 8938334, 2268820292]$ |
\(y^2+xy=x^3+8938334x+2268820292\) |
7.48.0-7.a.1.2, 101478.2.0.?, 710346.96.2.? |
$[]$ |
105222.l2 |
105222k1 |
105222.l |
105222k |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 13 \cdot 19 \cdot 71 \) |
\( - 2^{28} \cdot 3^{7} \cdot 13 \cdot 19^{7} \cdot 71 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$736554$ |
$96$ |
$2$ |
$8.433048737$ |
$1$ |
|
$8$ |
$12512640$ |
$3.231766$ |
$493769165839269808367640671/484356987417093822480384$ |
$0.99025$ |
$5.31520$ |
$[1, 0, 0, 16466454, -21440352348]$ |
\(y^2+xy=x^3+16466454x-21440352348\) |
7.48.0-7.a.1.2, 105222.2.0.?, 736554.96.2.? |
$[(1520244, 1873679814)]$ |
122010.dj2 |
122010do2 |
122010.dj |
122010do |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{35} \cdot 3^{21} \cdot 5^{7} \cdot 7^{2} \cdot 83 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$69720$ |
$96$ |
$2$ |
$7.948457897$ |
$1$ |
|
$8$ |
$146200320$ |
$4.262131$ |
$2092008964199791878427102647311/2330581636033743421440000000$ |
$1.04776$ |
$6.29341$ |
$[1, 0, 0, 975016510, -11270628771900]$ |
\(y^2+xy=x^3+975016510x-11270628771900\) |
7.48.0-7.a.1.2, 9960.2.0.?, 69720.96.2.? |
$[(3881380, 7645097710)]$ |