LMFDB - Elliptic curve search results

Refine search

Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

		Sort order	Select

Results (1-50 of 1737 matches)

Next Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	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
15.a5	15a1	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.3	2Cs	$240$	$768$	$13$	$1$	$1$		$6$	$1$	$-0.402277$	$111284641/50625$	$1.02534$	$6.84168$	$[1, 1, 1, -10, -10]$	$y^2+xy+y=x^3+x^2-10x-10$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.9, 24.192.1-24.n.1.1, 40.192.1-40.s.1.5, $\ldots$	$[]$
15.a6	15a3	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ 3^{2} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.7	2Cs	$240$	$768$	$13$	$1$	$1$		$6$	$2$	$-0.748851$	$13997521/225$	$0.96230$	$6.07610$	$[1, 1, 1, -5, 2]$	$y^2+xy+y=x^3+x^2-5x+2$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.2.3, 24.96.0-24.bb.2.5, $\ldots$	$[]$
21.a5	21a1	21.a	21a	$6$	$8$	$ 3 \cdot 7 $	$ 3^{4} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$168$	$192$	$1$	$1$	$1$		$6$	$1$	$-0.618942$	$7189057/3969$	$1.14862$	$5.18573$	$[1, 0, 0, -4, -1]$	$y^2+xy=x^3-4x-1$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.w.2.6, 28.48.0-28.c.1.1, $\ldots$	$[]$
24.a4	24a1	24.a	24a	$6$	$8$	$ 2^{3} \cdot 3 $	$ 2^{8} \cdot 3^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.42	2Cs	$24$	$192$	$1$	$1$	$1$		$7$	$1$	$-0.645352$	$35152/9$	$0.97255$	$5.03850$	$[0, -1, 0, -4, 4]$	$y^2=x^3-x^2-4x+4$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.1.6, 12.48.0-12.c.1.1, 24.192.1-24.bu.1.7	$[]$
42.a4	42a2	42.a	42a	$6$	$8$	$ 2 \cdot 3 \cdot 7 $	$ 2^{4} \cdot 3^{4} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.37	2Cs	$56$	$192$	$1$	$1$	$1$		$6$	$8$	$-0.157472$	$65597103937/63504$	$1.01692$	$6.66372$	$[1, 1, 1, -84, 261]$	$y^2+xy+y=x^3+x^2-84x+261$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 28.48.0-28.c.1.1, 56.192.1-56.by.1.7	$[]$
48.a3	48a3	48.a	48a	$6$	$8$	$ 2^{4} \cdot 3 $	$ 2^{10} \cdot 3^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.34	2Cs	$24$	$192$	$1$	$1$	$1$		$7$	$4$	$-0.298779$	$1556068/81$	$1.03212$	$5.47353$	$[0, 1, 0, -24, 36]$	$y^2=x^3+x^2-24x+36$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.e.2.1, 24.192.1-24.bl.2.2	$[]$
102.c4	102b2	102.c	102b	$6$	$8$	$ 2 \cdot 3 \cdot 17 $	$ 2^{4} \cdot 3^{8} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.38	2Cs	$136$	$192$	$1$	$1$	$1$		$6$	$32$	$0.153931$	$163936758817/30338064$	$1.07571$	$5.58333$	$[1, 0, 0, -114, -396]$	$y^2+xy=x^3-114x-396$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.2.2, 68.48.0-68.c.1.1, 136.192.1.?	$[]$
120.b4	120a2	120.b	120a	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.26	2Cs	$120$	$192$	$1$	$1$	$1$		$7$	$16$	$-0.213148$	$3631696/2025$	$1.02576$	$4.31340$	$[0, 1, 0, -20, 0]$	$y^2=x^3+x^2-20x$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 20.48.0-20.c.1.1, 24.96.0-24.p.2.3, $\ldots$	$[]$
195.a4	195a3	195.a	195a	$8$	$16$	$ 3 \cdot 5 \cdot 13 $	$ 3^{4} \cdot 5^{4} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.48.0.3	2Cs	$3120$	$768$	$13$	$1$	$1$		$6$	$96$	$0.496270$	$15551989015681/1445900625$	$0.97384$	$5.76052$	$[1, 0, 0, -520, -4225]$	$y^2+xy=x^3-520x-4225$	2.6.0.a.1, 4.48.0-4.b.1.1, 24.96.0-24.b.1.1, 40.96.0-40.b.2.9, 104.96.0.?, $\ldots$	$[]$
195.a5	195a2	195.a	195a	$8$	$16$	$ 3 \cdot 5 \cdot 13 $	$ 3^{8} \cdot 5^{2} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.28	2Cs	$3120$	$768$	$13$	$1$	$1$		$6$	$48$	$0.149696$	$168288035761/27720225$	$1.01793$	$4.90213$	$[1, 0, 0, -115, 392]$	$y^2+xy=x^3-115x+392$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 40.96.0-40.bc.2.5, 48.96.0-48.d.1.6, $\ldots$	$[]$
210.c5	210c2	210.c	210c	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.25	2Cs	$840$	$192$	$1$	$1$	$1$		$6$	$64$	$0.043610$	$37966934881/8643600$	$0.95916$	$4.55573$	$[1, 1, 1, -70, -205]$	$y^2+xy+y=x^3+x^2-70x-205$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 56.96.0-56.r.1.6, 60.48.0-60.c.1.7, $\ldots$	$[]$
210.e5	210e3	210.e	210e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 7 $	$ 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.2	2Cs	$1680$	$768$	$13$	$1$	$1$		$6$	$512$	$1.101282$	$47595748626367201/1215506250000$	$1.02882$	$7.18174$	$[1, 0, 0, -7550, -247500]$	$y^2+xy=x^3-7550x-247500$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.c.1.1, 24.192.1-24.w.2.5, 56.192.1-56.x.1.1, $\ldots$	$[]$
231.a3	231a2	231.a	231a	$6$	$8$	$ 3 \cdot 7 \cdot 11 $	$ 3^{2} \cdot 7^{4} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1848$	$192$	$1$	$1$	$1$		$6$	$40$	$-0.070357$	$6570725617/2614689$	$0.92677$	$4.15365$	$[1, 1, 1, -39, 36]$	$y^2+xy+y=x^3+x^2-39x+36$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 56.48.0-56.m.1.10, 88.48.0.?, $\ldots$	$[]$
240.c2	240a3	240.c	240a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{10} \cdot 3^{2} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.27	2Cs	$120$	$192$	$1$	$1$	$1$		$7$	$64$	$0.133425$	$868327204/5625$	$1.10029$	$5.02014$	$[0, -1, 0, -200, 1152]$	$y^2=x^3-x^2-200x+1152$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 24.96.0-24.k.1.2, 40.96.0-40.v.1.7, $\ldots$	$[]$
240.d2	240d5	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.41	2Cs	$240$	$768$	$13$	$1$	$1$		$7$	$128$	$0.637444$	$272223782641/164025$	$1.03897$	$6.32183$	$[0, 1, 0, -2160, 37908]$	$y^2=x^3+x^2-2160x+37908$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.k.1.2, 20.48.0-20.c.1.1, 40.192.1-40.cc.2.1, $\ldots$	$[]$
240.d5	240d4	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{12} \cdot 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.1	2Cs	$240$	$768$	$13$	$1$	$1$		$7$	$64$	$0.290870$	$111284641/50625$	$1.02534$	$4.89822$	$[0, 1, 0, -160, 308]$	$y^2=x^3+x^2-160x+308$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.2, 24.192.1-24.n.1.6, 40.192.1-40.s.1.2, $\ldots$	$[]$
330.d5	330c2	330.d	330c	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 11 $	$ 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1320$	$192$	$1$	$1$	$1$		$6$	$384$	$0.768613$	$119102750067601/68309049600$	$1.06441$	$5.58898$	$[1, 1, 1, -1025, 767]$	$y^2+xy+y=x^3+x^2-1025x+767$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 40.48.0-40.i.1.9, 60.48.0-60.c.1.7, $\ldots$	$[]$
330.e4	330b2	330.e	330b	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 11 $	$ 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1320$	$192$	$1$	$1$	$1$		$6$	$64$	$0.006941$	$46694890801/3920400$	$0.93791$	$4.23634$	$[1, 0, 0, -75, 225]$	$y^2+xy=x^3-75x+225$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.l.1.10, 40.48.0-40.i.2.1, 88.48.0.?, $\ldots$	$[]$
336.a2	336e4	336.a	336e	$6$	$8$	$ 2^{4} \cdot 3 \cdot 7 $	$ 2^{12} \cdot 3^{2} \cdot 7^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.25	2Cs	$168$	$192$	$1$	$1.492598417$	$1$		$19$	$128$	$0.420779$	$13027640977/21609$	$1.08149$	$5.43364$	$[0, -1, 0, -784, 8704]$	$y^2=x^3-x^2-784x+8704$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 12.48.0-12.c.1.1, 24.96.0-24.j.2.3, $\ldots$	$[(18, 10)]$
336.d3	336d4	336.d	336d	$6$	$8$	$ 2^{4} \cdot 3 \cdot 7 $	$ 2^{14} \cdot 3^{8} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.33	2Cs	$56$	$192$	$1$	$1$	$1$		$7$	$384$	$0.882248$	$124475734657/63011844$	$1.06499$	$5.82164$	$[0, 1, 0, -1664, -9804]$	$y^2=x^3+x^2-1664x-9804$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.f.1.5, 56.192.1-56.bp.2.3	$[]$
390.f5	390b2	390.f	390b	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 13 $	$ 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$1560$	$192$	$1$	$1$	$1$		$6$	$128$	$0.070926$	$30400540561/15210000$	$0.96238$	$4.04578$	$[1, 1, 1, -65, 47]$	$y^2+xy+y=x^3+x^2-65x+47$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.l.1.10, 104.48.0.?, $\ldots$	$[]$
429.b4	429b2	429.b	429b	$6$	$8$	$ 3 \cdot 11 \cdot 13 $	$ 3^{4} \cdot 11^{2} \cdot 13^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$3432$	$192$	$1$	$2.115453196$	$1$		$12$	$128$	$0.194522$	$8732907467857/1656369$	$0.94339$	$4.91600$	$[1, 0, 0, -429, 3384]$	$y^2+xy=x^3-429x+3384$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.m.1.6, 88.48.0.?, 104.48.0.?, $\ldots$	$[(24, 72)]$
510.e4	510e3	510.e	510e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.7	2Cs	$4080$	$768$	$13$	$1$	$1$		$6$	$512$	$0.793592$	$330240275458561/67652010000$	$1.06774$	$5.36231$	$[1, 1, 1, -1440, 16305]$	$y^2+xy+y=x^3+x^2-1440x+16305$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.1.11, 120.192.1.?, 136.192.1.?, $\ldots$	$[]$
510.e5	510e2	510.e	510e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.8	2Cs	$4080$	$768$	$13$	$1$	$1$		$6$	$256$	$0.447019$	$278202094583041/16646400$	$0.97964$	$5.33481$	$[1, 1, 1, -1360, 18737]$	$y^2+xy+y=x^3+x^2-1360x+18737$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.1.10, 120.96.0.?, $\ldots$	$[]$
609.a4	609b2	609.a	609b	$6$	$8$	$ 3 \cdot 7 \cdot 29 $	$ 3^{6} \cdot 7^{4} \cdot 29^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$4872$	$192$	$1$	$3.513460239$	$1$		$10$	$768$	$0.944088$	$231331938231569617/1472026689$	$0.98909$	$6.23577$	$[1, 1, 1, -12789, 551346]$	$y^2+xy+y=x^3+x^2-12789x+551346$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 56.48.0-56.m.1.10, 168.96.0.?, $\ldots$	$[(-104, 929)]$
663.a3	663b2	663.a	663b	$6$	$8$	$ 3 \cdot 13 \cdot 17 $	$ 3^{4} \cdot 13^{4} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.27	2Cs	$1768$	$192$	$1$	$2.975812071$	$1$		$10$	$256$	$0.462009$	$17806161424897/668584449$	$0.93643$	$4.69626$	$[1, 1, 1, -544, 4496]$	$y^2+xy+y=x^3+x^2-544x+4496$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 68.48.0-68.c.1.1, 104.96.0.?, $\ldots$	$[(79, 640)]$
690.k4	690k2	690.k	690k	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 23 $	$ 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$552$	$192$	$1$	$1$	$1$		$6$	$768$	$0.806443$	$36330796409313601/428490000$	$0.99526$	$5.83345$	$[1, 0, 0, -6900, 220032]$	$y^2+xy=x^3-6900x+220032$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.r.2.5, 92.48.0.?, $\ldots$	$[]$
714.f4	714g2	714.f	714g	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 17 $	$ 2^{12} \cdot 3^{8} \cdot 7^{8} \cdot 17^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.37	2Cs	$136$	$192$	$1$	$1$	$1$		$6$	$7680$	$1.885983$	$82582985847542515777/44772582831427584$	$1.09721$	$6.97933$	$[1, 1, 1, -90724, 2605541]$	$y^2+xy+y=x^3+x^2-90724x+2605541$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 68.48.0-68.c.1.1, 136.192.1.?	$[]$
759.b5	759b2	759.b	759b	$6$	$8$	$ 3 \cdot 11 \cdot 23 $	$ 3^{4} \cdot 11^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$6072$	$192$	$1$	$2.983073350$	$1$		$10$	$256$	$0.421960$	$5786435182177/627352209$	$0.98731$	$4.43102$	$[1, 0, 0, -374, -2541]$	$y^2+xy=x^3-374x-2541$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 88.48.0.?, 92.48.0.?, $\ldots$	$[(34, 139)]$
816.b2	816h3	816.b	816h	$6$	$8$	$ 2^{4} \cdot 3 \cdot 17 $	$ 2^{14} \cdot 3^{4} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.35	2Cs	$136$	$192$	$1$	$3.826981769$	$1$		$11$	$1536$	$1.193651$	$576615941610337/27060804$	$1.03156$	$6.31017$	$[0, -1, 0, -27744, 1787904]$	$y^2=x^3-x^2-27744x+1787904$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.e.1.5, 136.192.1.?	$[(146, 910)]$
840.d3	840f2	840.d	840f	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.5	2Cs	$840$	$192$	$1$	$1.098298981$	$1$		$21$	$256$	$0.239768$	$2533446736/275625$	$0.90007$	$4.03927$	$[0, -1, 0, -180, 900]$	$y^2=x^3-x^2-180x+900$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.1.1, 40.48.0-40.l.1.10, 56.48.0-56.h.1.9, $\ldots$	$[(5, 10)]$
840.f3	840g2	840.f	840g	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.25	2Cs	$280$	$192$	$1$	$1$	$1$		$7$	$512$	$0.524602$	$175293437776/4862025$	$0.94022$	$4.66850$	$[0, -1, 0, -740, 7812]$	$y^2=x^3-x^2-740x+7812$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 20.48.0-20.c.1.1, 40.96.0-40.k.2.13, $\ldots$	$[]$
840.j4	840j2	840.j	840j	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7 $	$ 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.5	2Cs	$840$	$192$	$1$	$1$	$1$		$7$	$256$	$0.288763$	$32082281296/99225$	$0.92349$	$4.41630$	$[0, 1, 0, -420, 3168]$	$y^2=x^3+x^2-420x+3168$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.l.1.10, 40.48.0-40.h.2.9, 56.48.0-56.h.2.1, $\ldots$	$[]$
930.o5	930o2	930.o	930o	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 31 $	$ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 31^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$3720$	$192$	$1$	$1$	$1$		$6$	$1024$	$0.688679$	$200828550012481/12454560000$	$0.96232$	$4.81823$	$[1, 0, 0, -1220, -15600]$	$y^2+xy=x^3-1220x-15600$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 120.96.0.?, 124.48.0.?, $\ldots$	$[]$
966.g4	966g2	966.g	966g	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 23 $	$ 2^{8} \cdot 3^{4} \cdot 7^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.24	2Cs	$1288$	$192$	$1$	$1.214523307$	$1$		$18$	$1024$	$0.722827$	$169967019783457/26337394944$	$0.96308$	$4.76733$	$[1, 1, 1, -1154, 12431]$	$y^2+xy+y=x^3+x^2-1154x+12431$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 56.96.0-56.v.2.6, 92.48.0.?, $\ldots$	$[(7, 65)]$
1110.k4	1110k2	1110.k	1110k	$6$	$8$	$ 2 \cdot 3 \cdot 5 \cdot 37 $	$ 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 37^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$4440$	$192$	$1$	$1$	$1$		$6$	$3456$	$1.260246$	$1072487167529950801/2554882560000$	$1.07073$	$5.92068$	$[1, 1, 1, -21325, 1187267]$	$y^2+xy+y=x^3+x^2-21325x+1187267$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.l.1.10, 120.96.0.?, $\ldots$	$[]$
1122.e4	1122e2	1122.e	1122e	$6$	$8$	$ 2 \cdot 3 \cdot 11 \cdot 17 $	$ 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.27	2Cs	$4488$	$192$	$1$	$1.893763184$	$1$		$16$	$1024$	$0.744782$	$423108074414017/23284318464$	$0.96119$	$4.79557$	$[1, 1, 1, -1564, -23299]$	$y^2+xy+y=x^3+x^2-1564x-23299$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 132.48.0.?, 136.96.0.?, $\ldots$	$[(47, 75)]$
1155.e3	1155e2	1155.e	1155e	$6$	$8$	$ 3 \cdot 5 \cdot 7 \cdot 11 $	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$9240$	$192$	$1$	$1.700180605$	$1$		$14$	$512$	$0.320720$	$2177286259681/161417025$	$0.90617$	$4.02860$	$[1, 1, 1, -270, 1482]$	$y^2+xy+y=x^3+x^2-270x+1482$	2.6.0.a.1, 4.24.0-4.b.1.3, 56.48.0-56.i.1.9, 88.48.0.?, 120.48.0.?, $\ldots$	$[(12, 6)]$
1155.f5	1155m2	1155.f	1155m	$6$	$8$	$ 3 \cdot 5 \cdot 7 \cdot 11 $	$ 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$9240$	$192$	$1$	$1$	$1$		$6$	$1920$	$1.205990$	$189674274234120481/3859869269025$	$0.97318$	$5.64165$	$[1, 0, 0, -11970, -496125]$	$y^2+xy=x^3-11970x-496125$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 56.48.0-56.h.2.1, 168.96.0.?, $\ldots$	$[]$
1230.f4	1230f3	1230.f	1230f	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 41 $	$ 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 41^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.8	2Cs	$3280$	$768$	$13$	$1$	$4$	$2$	$6$	$6144$	$1.558489$	$19599160390581221281/185398179210000$	$1.05318$	$6.24363$	$[1, 1, 1, -56170, -5105305]$	$y^2+xy+y=x^3+x^2-56170x-5105305$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.1.1, 40.192.1-40.o.2.2, 328.192.1.?, $\ldots$	$[]$
1230.f6	1230f2	1230.f	1230f	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 41 $	$ 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 41^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.39	2Cs	$3280$	$768$	$13$	$1$	$1$		$6$	$3072$	$1.211916$	$25976677550021281/13616100000000$	$1.00977$	$5.31233$	$[1, 1, 1, -6170, 54695]$	$y^2+xy+y=x^3+x^2-6170x+54695$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.k.2.4, 80.192.1.?, 164.48.0.?, $\ldots$	$[]$
1254.f3	1254g2	1254.f	1254g	$6$	$8$	$ 2 \cdot 3 \cdot 11 \cdot 19 $	$ 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 19^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$5016$	$192$	$1$	$3.067590427$	$1$		$10$	$1536$	$0.889161$	$1379233073341297/183927761424$	$1.01209$	$4.88644$	$[1, 1, 1, -2319, 36741]$	$y^2+xy+y=x^3+x^2-2319x+36741$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 88.48.0.?, 132.48.0.?, $\ldots$	$[(17, 42)]$
1254.g4	1254h2	1254.g	1254h	$6$	$8$	$ 2 \cdot 3 \cdot 11 \cdot 19 $	$ 2^{4} \cdot 3^{2} \cdot 11^{4} \cdot 19^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$5016$	$192$	$1$	$2.249900062$	$1$		$12$	$512$	$0.393884$	$1328460616657/761097744$	$0.99363$	$3.91291$	$[1, 1, 1, -229, -229]$	$y^2+xy+y=x^3+x^2-229x-229$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.1.1, 88.48.0.?, 152.48.0.?, $\ldots$	$[(-3, 22)]$
1302.j5	1302l2	1302.j	1302l	$6$	$8$	$ 2 \cdot 3 \cdot 7 \cdot 31 $	$ 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 31^{4} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.48.0.25	2Cs	$1736$	$192$	$1$	$2.514523546$	$1$		$14$	$4608$	$1.329376$	$964526913483831937/15013703061504$	$0.99385$	$5.77418$	$[1, 1, 1, -20584, -1129879]$	$y^2+xy+y=x^3+x^2-20584x-1129879$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 28.48.0-28.c.1.1, 56.96.0-56.i.2.13, $\ldots$	$[(-77, 115)]$
1311.b3	1311a2	1311.b	1311a	$6$	$8$	$ 3 \cdot 19 \cdot 23 $	$ 3^{6} \cdot 19^{2} \cdot 23^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$10488$	$192$	$1$	$1$	$1$		$6$	$1560$	$0.945574$	$20042301472793137/73645476129$	$1.07131$	$5.22900$	$[1, 1, 1, -5659, 160976]$	$y^2+xy+y=x^3+x^2-5659x+160976$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 152.48.0.?, 184.48.0.?, $\ldots$	$[]$
1320.f4	1320h2	1320.f	1320h	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 11 $	$ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.27	2Cs	$440$	$192$	$1$	$1.638502367$	$1$		$19$	$1024$	$0.728814$	$15529488955216/6125625$	$1.02783$	$4.99889$	$[0, -1, 0, -3300, 74052]$	$y^2=x^3-x^2-3300x+74052$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 40.96.0-40.r.2.5, 44.48.0-44.c.1.1, $\ldots$	$[(32, 14)]$
1320.n5	1320m2	1320.n	1320m	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 11 $	$ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 11^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	4.24.0.5	2Cs	$1320$	$192$	$1$	$1$	$1$		$7$	$512$	$0.465168$	$17029316176/6125625$	$0.91831$	$4.05036$	$[0, 1, 0, -340, -1600]$	$y^2=x^3+x^2-340x-1600$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.h.2.9, 44.48.0-44.c.1.1, $\ldots$	$[]$
1365.a4	1365b2	1365.a	1365b	$6$	$8$	$ 3 \cdot 5 \cdot 7 \cdot 13 $	$ 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 13^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$10920$	$192$	$1$	$1$	$1$		$6$	$1536$	$0.912708$	$2912015927948401/184878500625$	$0.94885$	$4.93255$	$[1, 1, 1, -2975, 57692]$	$y^2+xy+y=x^3+x^2-2975x+57692$	2.6.0.a.1, 4.24.0-4.b.1.3, 120.48.0.?, 156.48.0.?, 168.48.0.?, $\ldots$	$[]$
1482.k4	1482j2	1482.k	1482j	$6$	$8$	$ 2 \cdot 3 \cdot 13 \cdot 19 $	$ 2^{8} \cdot 3^{4} \cdot 13^{2} \cdot 19^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.24.0.5	2Cs	$5928$	$192$	$1$	$1$	$1$		$6$	$1152$	$0.593783$	$253792437805297/1265082624$	$0.94937$	$4.54278$	$[1, 0, 0, -1319, 18249]$	$y^2+xy=x^3-1319x+18249$	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.m.1.6, 104.48.0.?, 152.48.0.?, $\ldots$	$[]$
1560.d4	1560j2	1560.d	1560j	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.27	2Cs	$312$	$192$	$1$	$1$	$1$		$7$	$7680$	$1.570997$	$1520107298839022416/13013105625$	$1.01425$	$6.44827$	$[0, -1, 0, -152100, 22882500]$	$y^2=x^3-x^2-152100x+22882500$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 12.48.0-12.c.1.1, 24.96.0-24.g.2.1, $\ldots$	$[]$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 1737 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (1-50 of 1737 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search