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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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Results (20 matches)

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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	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
5054.a2	5054a1	5054.a	5054a	$2$	$7$	$ 2 \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 7^{7} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$0.711706808$	$1$		$2$	$2520$	$0.593744$	$53261199/26353376$	$1.15416$	$3.56822$	$[1, -1, 0, 56, -4704]$	$y^2+xy=x^3-x^2+56x-4704$	7.8.0.a.1, 56.16.0.d.1, 133.48.0.?, 1064.96.2.?	$[(21, 63)]$
5054.b2	5054b1	5054.b	5054b	$2$	$7$	$ 2 \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 7^{7} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.16.0.1	7B.2.1	$1064$	$96$	$2$	$0.234285422$	$1$		$4$	$47880$	$2.065964$	$53261199/26353376$	$1.15416$	$5.63984$	$[1, -1, 1, 20148, 32163887]$	$y^2+xy+y=x^3-x^2+20148x+32163887$	7.16.0-7.a.1.2, 56.32.0-56.d.1.1, 133.48.0.?, 1064.96.2.?	$[(271, 7445)]$
35378.e2	35378e1	35378.e	35378e	$2$	$7$	$ 2 \cdot 7^{2} \cdot 19^{2} $	$ - 2^{5} \cdot 7^{13} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$3.317183875$	$1$		$2$	$120960$	$1.566700$	$53261199/26353376$	$1.15416$	$4.02001$	$[1, -1, 0, 2735, 1607997]$	$y^2+xy=x^3-x^2+2735x+1607997$	7.8.0.a.1, 56.16.0.d.1, 133.48.0.?, 1064.96.2.?	$[(-89, 853)]$
35378.m2	35378k1	35378.m	35378k	$2$	$7$	$ 2 \cdot 7^{2} \cdot 19^{2} $	$ - 2^{5} \cdot 7^{13} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.16.0.2	7B.2.3	$1064$	$96$	$2$	$14.64086730$	$1$		$0$	$2298240$	$3.038918$	$53261199/26353376$	$1.15416$	$5.70675$	$[1, -1, 1, 987267, -11034187867]$	$y^2+xy+y=x^3-x^2+987267x-11034187867$	7.16.0-7.a.1.1, 56.32.0-56.d.1.2, 133.48.0.?, 1064.96.2.?	$[(15430389/20, 60472317197/20)]$
40432.j2	40432m1	40432.j	40432m	$2$	$7$	$ 2^{4} \cdot 7 \cdot 19^{2} $	$ - 2^{17} \cdot 7^{7} \cdot 19^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$1$	$4$	$2$	$0$	$1149120$	$2.759109$	$53261199/26353376$	$1.15416$	$5.31837$	$[0, 0, 0, 322373, -2058811158]$	$y^2=x^3+322373x-2058811158$	7.8.0.a.1, 28.16.0-7.a.1.1, 56.32.0-56.d.1.3, 133.24.0.?, 532.48.0.?, $\ldots$	$[]$
40432.k2	40432o1	40432.k	40432o	$2$	$7$	$ 2^{4} \cdot 7 \cdot 19^{2} $	$ - 2^{17} \cdot 7^{7} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$6.100095351$	$1$		$0$	$60480$	$1.286892$	$53261199/26353376$	$1.15416$	$3.65286$	$[0, 0, 0, 893, 300162]$	$y^2=x^3+893x+300162$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 532.48.0.?, 1064.96.2.?	$[(-231/2, 1893/2)]$
45486.f2	45486n1	45486.f	45486n	$2$	$7$	$ 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 3^{6} \cdot 7^{7} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$3192$	$96$	$2$	$0.545075493$	$1$		$4$	$1532160$	$2.615269$	$53261199/26353376$	$1.15416$	$5.09902$	$[1, -1, 0, 181335, -868606291]$	$y^2+xy=x^3-x^2+181335x-868606291$	7.8.0.a.1, 21.16.0-7.a.1.2, 56.16.0.d.1, 133.24.0.?, 168.32.0.?, $\ldots$	$[(6769, 553819)]$
45486.bb2	45486bn1	45486.bb	45486bn	$2$	$7$	$ 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 3^{6} \cdot 7^{7} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$3192$	$96$	$2$	$0.122309342$	$1$		$8$	$80640$	$1.143051$	$53261199/26353376$	$1.15416$	$3.45181$	$[1, -1, 1, 502, 126505]$	$y^2+xy+y=x^3-x^2+502x+126505$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 399.48.0.?, 1064.48.2.?, $\ldots$	$[(85, 839)]$
126350.w2	126350c1	126350.w	126350c	$2$	$7$	$ 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 5^{6} \cdot 7^{7} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$5320$	$96$	$2$	$14.43578706$	$1$		$0$	$6703200$	$2.870682$	$53261199/26353376$	$1.15416$	$4.91647$	$[1, -1, 0, 503708, 4020989616]$	$y^2+xy=x^3-x^2+503708x+4020989616$	7.8.0.a.1, 35.16.0-7.a.1.1, 56.16.0.d.1, 133.24.0.?, 280.32.0.?, $\ldots$	$[(-17833203/193, 437233564491/193)]$
126350.cz2	126350ci1	126350.cz	126350ci	$2$	$7$	$ 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 5^{6} \cdot 7^{7} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$5320$	$96$	$2$	$5.524278359$	$1$		$2$	$352800$	$1.398462$	$53261199/26353376$	$1.15416$	$3.41251$	$[1, -1, 1, 1395, -586603]$	$y^2+xy+y=x^3-x^2+1395x-586603$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 665.48.0.?, 1064.48.2.?, $\ldots$	$[(523, 11696)]$
161728.t2	161728i1	161728.t	161728i	$2$	$7$	$ 2^{6} \cdot 7 \cdot 19^{2} $	$ - 2^{23} \cdot 7^{7} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$4.890244137$	$1$		$2$	$483840$	$1.633465$	$53261199/26353376$	$1.15416$	$3.57740$	$[0, 0, 0, 3572, 2401296]$	$y^2=x^3+3572x+2401296$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 532.48.0.?, 1064.96.2.?	$[(140, 2376)]$
161728.u2	161728j1	161728.u	161728j	$2$	$7$	$ 2^{6} \cdot 7 \cdot 19^{2} $	$ - 2^{23} \cdot 7^{7} \cdot 19^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$1$	$1$		$0$	$9192960$	$3.105686$	$53261199/26353376$	$1.15416$	$5.05040$	$[0, 0, 0, 1289492, -16470489264]$	$y^2=x^3+1289492x-16470489264$	7.8.0.a.1, 28.16.0-7.a.1.4, 56.32.0-56.d.1.5, 133.24.0.?, 532.48.0.?, $\ldots$	$[]$
161728.v2	161728bj1	161728.v	161728bj	$2$	$7$	$ 2^{6} \cdot 7 \cdot 19^{2} $	$ - 2^{23} \cdot 7^{7} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$1.846817132$	$1$		$2$	$483840$	$1.633465$	$53261199/26353376$	$1.15416$	$3.57740$	$[0, 0, 0, 3572, -2401296]$	$y^2=x^3+3572x-2401296$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 266.48.0.?, 1064.96.2.?	$[(264, 4116)]$
161728.w2	161728bk1	161728.w	161728bk	$2$	$7$	$ 2^{6} \cdot 7 \cdot 19^{2} $	$ - 2^{23} \cdot 7^{7} \cdot 19^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$1$	$1$		$0$	$9192960$	$3.105686$	$53261199/26353376$	$1.15416$	$5.05040$	$[0, 0, 0, 1289492, 16470489264]$	$y^2=x^3+1289492x+16470489264$	7.8.0.a.1, 14.16.0-7.a.1.1, 56.32.0-56.d.1.7, 133.24.0.?, 266.48.0.?, $\ldots$	$[]$
283024.bm2	283024bm1	283024.bm	283024bm	$2$	$7$	$ 2^{4} \cdot 7^{2} \cdot 19^{2} $	$ - 2^{17} \cdot 7^{13} \cdot 19^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$1$	$1$		$0$	$2903040$	$2.259846$	$53261199/26353376$	$1.15416$	$4.01670$	$[0, 0, 0, 43757, -102955566]$	$y^2=x^3+43757x-102955566$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 532.48.0.?, 1064.96.2.?	$[]$
283024.bn2	283024bn1	283024.bn	283024bn	$2$	$7$	$ 2^{4} \cdot 7^{2} \cdot 19^{2} $	$ - 2^{17} \cdot 7^{13} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$1064$	$96$	$2$	$3.648290242$	$1$		$2$	$55157760$	$3.732067$	$53261199/26353376$	$1.15416$	$5.42403$	$[0, 0, 0, 15796277, 706172227194]$	$y^2=x^3+15796277x+706172227194$	7.8.0.a.1, 28.16.0-7.a.1.2, 56.32.0-56.d.1.4, 133.24.0.?, 532.48.0.?, $\ldots$	$[(10469, 1420896)]$
318402.bu2	318402bu1	318402.bu	318402bu	$2$	$7$	$ 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} $	$ - 2^{5} \cdot 3^{6} \cdot 7^{13} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$3192$	$96$	$2$	$16.73192193$	$1$		$0$	$73543680$	$3.588226$	$53261199/26353376$	$1.15416$	$5.23739$	$[1, -1, 0, 8885406, 297914186996]$	$y^2+xy=x^3-x^2+8885406x+297914186996$	7.8.0.a.1, 21.16.0-7.a.1.1, 56.16.0.d.1, 133.24.0.?, 168.32.0.?, $\ldots$	$[(55407859/2, 412381053353/2)]$
318402.ea2	318402ea1	318402.ea	318402ea	$2$	$7$	$ 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} $	$ - 2^{5} \cdot 3^{6} \cdot 7^{13} \cdot 19^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$3192$	$96$	$2$	$2.630844281$	$1$		$2$	$3870720$	$2.116005$	$53261199/26353376$	$1.15416$	$3.84314$	$[1, -1, 1, 24613, -43440533]$	$y^2+xy+y=x^3-x^2+24613x-43440533$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 399.48.0.?, 1064.48.2.?, $\ldots$	$[(415, 5966)]$
363888.be2	363888be1	363888.be	363888be	$2$	$7$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} $	$ - 2^{17} \cdot 3^{6} \cdot 7^{7} \cdot 19^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$3192$	$96$	$2$	$6.916444967$	$1$		$2$	$36771840$	$3.308418$	$53261199/26353376$	$1.15416$	$4.92054$	$[0, 0, 0, 2901357, 55587901266]$	$y^2=x^3+2901357x+55587901266$	7.8.0.a.1, 56.16.0.d.1, 84.16.0.?, 133.24.0.?, 168.32.0.?, $\ldots$	$[(-705, 230634)]$
363888.bf2	363888bf1	363888.bf	363888bf	$2$	$7$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} $	$ - 2^{17} \cdot 3^{6} \cdot 7^{7} \cdot 19^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$7$	7.8.0.1	7B	$3192$	$96$	$2$	$1$	$1$		$0$	$1935360$	$1.836197$	$53261199/26353376$	$1.15416$	$3.54083$	$[0, 0, 0, 8037, -8104374]$	$y^2=x^3+8037x-8104374$	7.8.0.a.1, 56.16.0.d.1, 133.24.0.?, 1064.48.2.?, 1596.48.0.?, $\ldots$	$[]$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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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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