LMFDB - Elliptic curve search results

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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

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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
128.a2	128a1	128.a	128a	$2$	$2$	$ 2^{7} $	$ - 2^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.96.0.27	2B	$32$	$96$	$0$	$0.432331164$	$1$		$7$	$4$	$-0.856430$	$128$	$0.96902$	$2.66341$	$[0, 1, 0, 1, 1]$	$y^2=x^3+x^2+x+1$	2.3.0.a.1, 4.12.0-4.a.1.1, 8.24.0-8.g.1.1, 16.48.0-16.a.1.2, 32.96.0-32.a.1.2	$[(0, 1)]$
128.b2	128b1	128.b	128b	$2$	$2$	$ 2^{7} $	$ - 2^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.96.0.3	2B	$32$	$96$	$0$	$1$	$1$		$1$	$8$	$-0.509856$	$128$	$0.96902$	$3.52055$	$[0, 1, 0, 3, -5]$	$y^2=x^3+x^2+3x-5$	2.3.0.a.1, 4.12.0-4.a.1.2, 8.24.0-8.g.1.2, 16.48.0-16.a.1.1, 32.96.0-32.a.1.1	$[]$
128.c2	128c1	128.c	128c	$2$	$2$	$ 2^{7} $	$ - 2^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.96.0.25	2B	$32$	$96$	$0$	$1$	$1$		$1$	$4$	$-0.856430$	$128$	$0.96902$	$2.66341$	$[0, -1, 0, 1, -1]$	$y^2=x^3-x^2+x-1$	2.3.0.a.1, 4.12.0-4.a.1.1, 8.24.0-8.g.1.1, 16.48.0-16.a.1.3, 32.96.0-32.a.1.3	$[]$
128.d2	128d1	128.d	128d	$2$	$2$	$ 2^{7} $	$ - 2^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.96.0.1	2B	$32$	$96$	$0$	$1$	$1$		$1$	$8$	$-0.509856$	$128$	$0.96902$	$3.52055$	$[0, -1, 0, 3, 5]$	$y^2=x^3-x^2+3x+5$	2.3.0.a.1, 4.12.0-4.a.1.2, 8.24.0-8.g.1.2, 16.48.0-16.a.1.4, 32.96.0-32.a.1.4	$[]$
1152.c2	1152h2	1152.c	1152h	$2$	$2$	$ 2^{7} \cdot 3^{2} $	$ - 2^{14} \cdot 3^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$96$	$96$	$0$	$1$	$1$		$1$	$192$	$0.039450$	$128$	$0.96902$	$3.35830$	$[0, 0, 0, 24, -160]$	$y^2=x^3+24x-160$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 12.12.0-4.a.1.2, 16.24.0.a.1, $\ldots$	$[]$
1152.h2	1152g2	1152.h	1152g	$2$	$2$	$ 2^{7} \cdot 3^{2} $	$ - 2^{14} \cdot 3^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$96$	$96$	$0$	$1$	$1$		$1$	$192$	$0.039450$	$128$	$0.96902$	$3.35830$	$[0, 0, 0, 24, 160]$	$y^2=x^3+24x+160$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 12.12.0-4.a.1.2, 16.24.0.a.1, $\ldots$	$[]$
1152.m2	1152s1	1152.m	1152s	$2$	$2$	$ 2^{7} \cdot 3^{2} $	$ - 2^{8} \cdot 3^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$96$	$96$	$0$	$1.632943382$	$1$		$5$	$96$	$-0.307124$	$128$	$0.96902$	$2.76832$	$[0, 0, 0, 6, -20]$	$y^2=x^3+6x-20$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 12.12.0-4.a.1.1, 16.24.0.a.1, $\ldots$	$[(3, 5)]$
1152.r2	1152f1	1152.r	1152f	$2$	$2$	$ 2^{7} \cdot 3^{2} $	$ - 2^{8} \cdot 3^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$96$	$96$	$0$	$1$	$1$		$1$	$96$	$-0.307124$	$128$	$0.96902$	$2.76832$	$[0, 0, 0, 6, 20]$	$y^2=x^3+6x+20$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 12.12.0-4.a.1.1, 16.24.0.a.1, $\ldots$	$[]$
3200.e2	3200j1	3200.e	3200j	$2$	$2$	$ 2^{7} \cdot 5^{2} $	$ - 2^{8} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$160$	$96$	$0$	$0.843022143$	$1$		$7$	$512$	$-0.051711$	$128$	$0.96902$	$2.79765$	$[0, 1, 0, 17, -87]$	$y^2=x^3+x^2+17x-87$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 20.12.0-4.a.1.1, $\ldots$	$[(8, 25)]$
3200.h2	3200i2	3200.h	3200i	$2$	$2$	$ 2^{7} \cdot 5^{2} $	$ - 2^{14} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$160$	$96$	$0$	$1.046199583$	$1$		$5$	$1024$	$0.294863$	$128$	$0.96902$	$3.31294$	$[0, 1, 0, 67, 763]$	$y^2=x^3+x^2+67x+763$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 20.12.0-4.a.1.2, $\ldots$	$[(-2, 25)]$
3200.u2	3200g2	3200.u	3200g	$2$	$2$	$ 2^{7} \cdot 5^{2} $	$ - 2^{14} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$160$	$96$	$0$	$2.442170565$	$1$		$3$	$1024$	$0.294863$	$128$	$0.96902$	$3.31294$	$[0, -1, 0, 67, -763]$	$y^2=x^3-x^2+67x-763$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 20.12.0-4.a.1.2, $\ldots$	$[(52, 375)]$
3200.x2	3200t1	3200.x	3200t	$2$	$2$	$ 2^{7} \cdot 5^{2} $	$ - 2^{8} \cdot 5^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$160$	$96$	$0$	$1$	$1$		$1$	$512$	$-0.051711$	$128$	$0.96902$	$2.79765$	$[0, -1, 0, 17, 87]$	$y^2=x^3-x^2+17x+87$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 20.12.0-4.a.1.1, $\ldots$	$[]$
6272.a2	6272h2	6272.a	6272h	$2$	$2$	$ 2^{7} \cdot 7^{2} $	$ - 2^{14} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$224$	$96$	$0$	$2.870387548$	$1$		$3$	$2304$	$0.463099$	$128$	$0.96902$	$3.28886$	$[0, 1, 0, 131, -1989]$	$y^2=x^3+x^2+131x-1989$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 28.12.0-4.a.1.2, $\ldots$	$[(41, 272)]$
6272.b2	6272g1	6272.b	6272g	$2$	$2$	$ 2^{7} \cdot 7^{2} $	$ - 2^{8} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$224$	$96$	$0$	$2.070288814$	$1$		$3$	$1152$	$0.116525$	$128$	$0.96902$	$2.81322$	$[0, 1, 0, 33, 265]$	$y^2=x^3+x^2+33x+265$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 28.12.0-4.a.1.1, $\ldots$	$[(3, 20)]$
6272.g2	6272f2	6272.g	6272f	$2$	$2$	$ 2^{7} \cdot 7^{2} $	$ - 2^{14} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$224$	$96$	$0$	$4.620561945$	$1$		$3$	$2304$	$0.463099$	$128$	$0.96902$	$3.28886$	$[0, -1, 0, 131, 1989]$	$y^2=x^3-x^2+131x+1989$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 28.12.0-4.a.1.2, $\ldots$	$[(279, 4656)]$
6272.h2	6272d1	6272.h	6272d	$2$	$2$	$ 2^{7} \cdot 7^{2} $	$ - 2^{8} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$224$	$96$	$0$	$1$	$4$	$2$	$1$	$1152$	$0.116525$	$128$	$0.96902$	$2.81322$	$[0, -1, 0, 33, -265]$	$y^2=x^3-x^2+33x-265$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 28.12.0-4.a.1.1, $\ldots$	$[]$
15488.c2	15488v1	15488.c	15488v	$2$	$2$	$ 2^{7} \cdot 11^{2} $	$ - 2^{8} \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$352$	$96$	$0$	$4.139046779$	$1$		$3$	$5600$	$0.342518$	$128$	$0.96902$	$2.83072$	$[0, 1, 0, 81, -959]$	$y^2=x^3+x^2+81x-959$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(56, 427)]$
15488.d2	15488l2	15488.d	15488l	$2$	$2$	$ 2^{7} \cdot 11^{2} $	$ - 2^{14} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$352$	$96$	$0$	$1$	$1$		$1$	$11200$	$0.689092$	$128$	$0.96902$	$3.26179$	$[0, 1, 0, 323, 7995]$	$y^2=x^3+x^2+323x+7995$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
15488.u2	15488i1	15488.u	15488i	$2$	$2$	$ 2^{7} \cdot 11^{2} $	$ - 2^{8} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$352$	$96$	$0$	$1$	$1$		$1$	$5600$	$0.342518$	$128$	$0.96902$	$2.83072$	$[0, -1, 0, 81, 959]$	$y^2=x^3-x^2+81x+959$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
15488.v2	15488h2	15488.v	15488h	$2$	$2$	$ 2^{7} \cdot 11^{2} $	$ - 2^{14} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$352$	$96$	$0$	$1$	$9$	$3$	$1$	$11200$	$0.689092$	$128$	$0.96902$	$3.26179$	$[0, -1, 0, 323, -7995]$	$y^2=x^3-x^2+323x-7995$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
21632.c2	21632s2	21632.c	21632s	$2$	$2$	$ 2^{7} \cdot 13^{2} $	$ - 2^{14} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$416$	$96$	$0$	$1.312320495$	$1$		$5$	$18432$	$0.772618$	$128$	$0.96902$	$3.25303$	$[0, 1, 0, 451, -12869]$	$y^2=x^3+x^2+451x-12869$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(30, 169)]$
21632.l2	21632bl1	21632.l	21632bl	$2$	$2$	$ 2^{7} \cdot 13^{2} $	$ - 2^{8} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$416$	$96$	$0$	$1$	$1$		$1$	$9216$	$0.426045$	$128$	$0.96902$	$2.83639$	$[0, 1, 0, 113, 1665]$	$y^2=x^3+x^2+113x+1665$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
21632.be2	21632m2	21632.be	21632m	$2$	$2$	$ 2^{7} \cdot 13^{2} $	$ - 2^{14} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$416$	$96$	$0$	$4.792953430$	$1$		$1$	$18432$	$0.772618$	$128$	$0.96902$	$3.25303$	$[0, -1, 0, 451, 12869]$	$y^2=x^3-x^2+451x+12869$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(1420/3, 53911/3)]$
21632.bj2	21632l1	21632.bj	21632l	$2$	$2$	$ 2^{7} \cdot 13^{2} $	$ - 2^{8} \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$416$	$96$	$0$	$4.915720306$	$1$		$1$	$9216$	$0.426045$	$128$	$0.96902$	$2.83639$	$[0, -1, 0, 113, -1665]$	$y^2=x^3-x^2+113x-1665$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(1054/9, 31265/9)]$
28800.d2	28800dk2	28800.d	28800dk	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$480$	$96$	$0$	$1.283444833$	$1$		$7$	$24576$	$0.844169$	$128$	$0.96902$	$3.24598$	$[0, 0, 0, 600, 20000]$	$y^2=x^3+600x+20000$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(20, 200)]$
28800.k2	28800dj1	28800.k	28800dj	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{6} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$480$	$96$	$0$	$1.121832028$	$1$		$5$	$12288$	$0.497595$	$128$	$0.96902$	$2.84095$	$[0, 0, 0, 150, 2500]$	$y^2=x^3+150x+2500$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(0, 50)]$
28800.du2	28800bc1	28800.du	28800bc	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{8} \cdot 3^{6} \cdot 5^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$480$	$96$	$0$	$1$	$1$		$1$	$12288$	$0.497595$	$128$	$0.96902$	$2.84095$	$[0, 0, 0, 150, -2500]$	$y^2=x^3+150x-2500$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
28800.dz2	28800dg2	28800.dz	28800dg	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$480$	$96$	$0$	$3.382393030$	$1$		$3$	$24576$	$0.844169$	$128$	$0.96902$	$3.24598$	$[0, 0, 0, 600, -20000]$	$y^2=x^3+600x-20000$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(425, 8775)]$
36992.a2	36992d2	36992.a	36992d	$2$	$2$	$ 2^{7} \cdot 17^{2} $	$ - 2^{14} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$544$	$96$	$0$	$1$	$1$		$1$	$40960$	$0.906751$	$128$	$0.96902$	$3.24012$	$[0, 1, 0, 771, 29371]$	$y^2=x^3+x^2+771x+29371$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
36992.b2	36992c1	36992.b	36992c	$2$	$2$	$ 2^{7} \cdot 17^{2} $	$ - 2^{8} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$544$	$96$	$0$	$1$	$1$		$1$	$20480$	$0.560177$	$128$	$0.96902$	$2.84473$	$[0, 1, 0, 193, -3575]$	$y^2=x^3+x^2+193x-3575$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
36992.c2	36992b2	36992.c	36992b	$2$	$2$	$ 2^{7} \cdot 17^{2} $	$ - 2^{14} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$544$	$96$	$0$	$1$	$1$		$1$	$40960$	$0.906751$	$128$	$0.96902$	$3.24012$	$[0, -1, 0, 771, -29371]$	$y^2=x^3-x^2+771x-29371$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
36992.d2	36992a1	36992.d	36992a	$2$	$2$	$ 2^{7} \cdot 17^{2} $	$ - 2^{8} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$544$	$96$	$0$	$5.374695254$	$1$		$1$	$20480$	$0.560177$	$128$	$0.96902$	$2.84473$	$[0, -1, 0, 193, 3575]$	$y^2=x^3-x^2+193x+3575$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(-50/3, 1295/3)]$
46208.a2	46208g1	46208.a	46208g	$2$	$2$	$ 2^{7} \cdot 19^{2} $	$ - 2^{8} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$608$	$96$	$0$	$1$	$1$		$1$	$28512$	$0.615789$	$128$	$0.96902$	$2.84795$	$[0, 1, 0, 241, 5161]$	$y^2=x^3+x^2+241x+5161$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
46208.b2	46208f2	46208.b	46208f	$2$	$2$	$ 2^{7} \cdot 19^{2} $	$ - 2^{14} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$608$	$96$	$0$	$1$	$1$		$1$	$57024$	$0.962363$	$128$	$0.96902$	$3.23515$	$[0, 1, 0, 963, -40325]$	$y^2=x^3+x^2+963x-40325$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
46208.k2	46208l1	46208.k	46208l	$2$	$2$	$ 2^{7} \cdot 19^{2} $	$ - 2^{8} \cdot 19^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$608$	$96$	$0$	$9.701693410$	$1$		$1$	$28512$	$0.615789$	$128$	$0.96902$	$2.84795$	$[0, -1, 0, 241, -5161]$	$y^2=x^3-x^2+241x-5161$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(10774/21, 1123291/21)]$
46208.l2	46208e2	46208.l	46208e	$2$	$2$	$ 2^{7} \cdot 19^{2} $	$ - 2^{14} \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$608$	$96$	$0$	$1$	$9$	$3$	$1$	$57024$	$0.962363$	$128$	$0.96902$	$3.23515$	$[0, -1, 0, 963, 40325]$	$y^2=x^3-x^2+963x+40325$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
56448.v2	56448dd1	56448.v	56448dd	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 7^{2} $	$ - 2^{8} \cdot 3^{6} \cdot 7^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$672$	$96$	$0$	$5.160642856$	$1$		$11$	$27648$	$0.665832$	$128$	$0.96902$	$2.85073$	$[0, 0, 0, 294, 6860]$	$y^2=x^3+294x+6860$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(4, 90), (58, 468)]$
56448.y2	56448bh1	56448.y	56448bh	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 7^{2} $	$ - 2^{8} \cdot 3^{6} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$672$	$96$	$0$	$4.303017278$	$1$		$3$	$27648$	$0.665832$	$128$	$0.96902$	$2.85073$	$[0, 0, 0, 294, -6860]$	$y^2=x^3+294x-6860$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(302, 5256)]$
56448.ct2	56448z2	56448.ct	56448z	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 7^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$672$	$96$	$0$	$8.336662031$	$1$		$1$	$55296$	$1.012405$	$128$	$0.96902$	$3.23085$	$[0, 0, 0, 1176, -54880]$	$y^2=x^3+1176x-54880$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(27713/8, 4626335/8)]$
56448.cw2	56448y2	56448.cw	56448y	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 7^{2} $	$ - 2^{14} \cdot 3^{6} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$672$	$96$	$0$	$5.849183386$	$1$		$1$	$55296$	$1.012405$	$128$	$0.96902$	$3.23085$	$[0, 0, 0, 1176, 54880]$	$y^2=x^3+1176x+54880$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(1953/4, 90895/4)]$
67712.b2	67712p2	67712.b	67712p	$2$	$2$	$ 2^{7} \cdot 23^{2} $	$ - 2^{14} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$736$	$96$	$0$	$3.162572290$	$1$		$3$	$98560$	$1.057892$	$128$	$0.96902$	$3.22707$	$[0, 1, 0, 1411, 72571]$	$y^2=x^3+x^2+1411x+72571$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(1, 272)]$
67712.c2	67712h1	67712.c	67712h	$2$	$2$	$ 2^{7} \cdot 23^{2} $	$ - 2^{8} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$736$	$96$	$0$	$1$	$4$	$2$	$1$	$49280$	$0.711317$	$128$	$0.96902$	$2.85317$	$[0, 1, 0, 353, -8895]$	$y^2=x^3+x^2+353x-8895$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
67712.n2	67712n2	67712.n	67712n	$2$	$2$	$ 2^{7} \cdot 23^{2} $	$ - 2^{14} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$736$	$96$	$0$	$24.23615541$	$1$		$1$	$98560$	$1.057892$	$128$	$0.96902$	$3.22707$	$[0, -1, 0, 1411, -72571]$	$y^2=x^3-x^2+1411x-72571$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(52267643839/36031, 10234879467002736/36031)]$
67712.o2	67712m1	67712.o	67712m	$2$	$2$	$ 2^{7} \cdot 23^{2} $	$ - 2^{8} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$736$	$96$	$0$	$11.09540410$	$1$		$1$	$49280$	$0.711317$	$128$	$0.96902$	$2.85317$	$[0, -1, 0, 353, 8895]$	$y^2=x^3-x^2+353x+8895$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(45273/47, 16190460/47)]$
107648.d2	107648n1	107648.d	107648n	$2$	$2$	$ 2^{7} \cdot 29^{2} $	$ - 2^{8} \cdot 29^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$928$	$96$	$0$	$4.250620711$	$1$		$3$	$96768$	$0.827218$	$128$	$0.96902$	$2.85905$	$[0, 1, 0, 561, -17879]$	$y^2=x^3+x^2+561x-17879$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(2861, 153062)]$
107648.f2	107648l2	107648.f	107648l	$2$	$2$	$ 2^{7} \cdot 29^{2} $	$ - 2^{14} \cdot 29^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$928$	$96$	$0$	$4.257927205$	$1$		$3$	$193536$	$1.173792$	$128$	$0.96902$	$3.21799$	$[0, 1, 0, 2243, 145275]$	$y^2=x^3+x^2+2243x+145275$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(5761, 437320)]$
107648.bm2	107648bh1	107648.bm	107648bh	$2$	$2$	$ 2^{7} \cdot 29^{2} $	$ - 2^{8} \cdot 29^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$928$	$96$	$0$	$1$	$1$		$1$	$96768$	$0.827218$	$128$	$0.96902$	$2.85905$	$[0, -1, 0, 561, 17879]$	$y^2=x^3-x^2+561x+17879$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[]$
107648.bo2	107648i2	107648.bo	107648i	$2$	$2$	$ 2^{7} \cdot 29^{2} $	$ - 2^{14} \cdot 29^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$928$	$96$	$0$	$19.72404425$	$1$		$1$	$193536$	$1.173792$	$128$	$0.96902$	$3.21799$	$[0, -1, 0, 2243, -145275]$	$y^2=x^3-x^2+2243x-145275$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(6230071236/10445, 463960364694309/10445)]$
123008.a2	123008d1	123008.a	123008d	$2$	$2$	$ 2^{7} \cdot 31^{2} $	$ - 2^{8} \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$992$	$96$	$0$	$7.362251812$	$1$		$1$	$122880$	$0.860564$	$128$	$0.96902$	$2.86065$	$[0, 1, 0, 641, 22281]$	$y^2=x^3+x^2+641x+22281$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(123/7, 53040/7)]$
123008.b2	123008c2	123008.b	123008c	$2$	$2$	$ 2^{7} \cdot 31^{2} $	$ - 2^{14} \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.48.0.21	2B	$992$	$96$	$0$	$11.12942055$	$1$		$1$	$245760$	$1.207138$	$128$	$0.96902$	$3.21551$	$[0, 1, 0, 2563, -175685]$	$y^2=x^3+x^2+2563x-175685$	2.3.0.a.1, 4.6.0.a.1, 8.12.0.g.1, 16.24.0.a.1, 32.48.0.a.1, $\ldots$	$[(120121/41, 42343040/41)]$

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

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

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