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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Results (28 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	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
3680.b1	3680a1	3680.b	3680a	$1$	$1$	$ 2^{5} \cdot 5 \cdot 23 $	$ - 2^{12} \cdot 5^{7} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$3.327212682$	$1$		$2$	$4032$	$1.094753$	$25934336/950546875$	$1.08298$	$4.43874$	$[0, 1, 0, 99, -94901]$	$y^2=x^3+x^2+99x-94901$	230.2.0.?	$[(45, 52)]$
3680.h1	3680h1	3680.h	3680h	$1$	$1$	$ 2^{5} \cdot 5 \cdot 23 $	$ - 2^{12} \cdot 5^{7} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.182980964$	$1$		$2$	$4032$	$1.094753$	$25934336/950546875$	$1.08298$	$4.43874$	$[0, -1, 0, 99, 94901]$	$y^2=x^3-x^2+99x+94901$	230.2.0.?	$[(-25, 276)]$
7360.e1	7360o1	7360.e	7360o	$1$	$1$	$ 2^{6} \cdot 5 \cdot 23 $	$ - 2^{6} \cdot 5^{7} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$0.161013227$	$1$		$4$	$4032$	$0.748180$	$25934336/950546875$	$1.08298$	$3.62610$	$[0, 1, 0, 25, 11875]$	$y^2=x^3+x^2+25x+11875$	230.2.0.?	$[(10, 115)]$
7360.y1	7360h1	7360.y	7360h	$1$	$1$	$ 2^{6} \cdot 5 \cdot 23 $	$ - 2^{6} \cdot 5^{7} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$4032$	$0.748180$	$25934336/950546875$	$1.08298$	$3.62610$	$[0, -1, 0, 25, -11875]$	$y^2=x^3-x^2+25x-11875$	230.2.0.?	$[]$
18400.d1	18400d1	18400.d	18400d	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 23 $	$ - 2^{12} \cdot 5^{13} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.494379848$	$1$		$2$	$96768$	$1.899473$	$25934336/950546875$	$1.08298$	$4.69462$	$[0, 1, 0, 2467, 11867563]$	$y^2=x^3+x^2+2467x+11867563$	230.2.0.?	$[(-122, 3125)]$
18400.r1	18400q1	18400.r	18400q	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 23 $	$ - 2^{12} \cdot 5^{13} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.828881067$	$1$		$0$	$96768$	$1.899473$	$25934336/950546875$	$1.08298$	$4.69462$	$[0, -1, 0, 2467, -11867563]$	$y^2=x^3-x^2+2467x-11867563$	230.2.0.?	$[(3613/2, 215625/2)]$
33120.x1	33120o1	33120.x	33120o	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.074277867$	$1$		$4$	$96768$	$1.644060$	$25934336/950546875$	$1.08298$	$4.13501$	$[0, 0, 0, 888, -2563216]$	$y^2=x^3+888x-2563216$	230.2.0.?	$[(148, 900)]$
33120.bg1	33120bl1	33120.bg	33120bl	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$0.208269550$	$1$		$6$	$96768$	$1.644060$	$25934336/950546875$	$1.08298$	$4.13501$	$[0, 0, 0, 888, 2563216]$	$y^2=x^3+888x+2563216$	230.2.0.?	$[(752, 20700)]$
36800.l1	36800bd1	36800.l	36800bd	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 23 $	$ - 2^{6} \cdot 5^{13} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$96768$	$1.552898$	$25934336/950546875$	$1.08298$	$3.98951$	$[0, 1, 0, 617, -1483137]$	$y^2=x^3+x^2+617x-1483137$	230.2.0.?	$[]$
36800.dj1	36800j1	36800.dj	36800j	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 23 $	$ - 2^{6} \cdot 5^{13} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$11.27668633$	$1$		$0$	$96768$	$1.552898$	$25934336/950546875$	$1.08298$	$3.98951$	$[0, -1, 0, 617, 1483137]$	$y^2=x^3-x^2+617x+1483137$	230.2.0.?	$[(77184/5, 21441027/5)]$
66240.bc1	66240bg1	66240.bc	66240bg	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{7} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$96768$	$1.297485$	$25934336/950546875$	$1.08298$	$3.50218$	$[0, 0, 0, 222, -320402]$	$y^2=x^3+222x-320402$	230.2.0.?	$[]$
66240.ce1	66240bv1	66240.ce	66240bv	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{7} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$2.198377384$	$1$		$2$	$96768$	$1.297485$	$25934336/950546875$	$1.08298$	$3.50218$	$[0, 0, 0, 222, 320402]$	$y^2=x^3+222x+320402$	230.2.0.?	$[(169, 2277)]$
84640.d1	84640h1	84640.d	84640h	$1$	$1$	$ 2^{5} \cdot 5 \cdot 23^{2} $	$ - 2^{12} \cdot 5^{7} \cdot 23^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.178186369$	$1$		$4$	$2128896$	$2.662502$	$25934336/950546875$	$1.08298$	$4.87019$	$[0, 1, 0, 52195, 1155078475]$	$y^2=x^3+x^2+52195x+1155078475$	230.2.0.?	$[(1165, 52900)]$
84640.w1	84640s1	84640.w	84640s	$1$	$1$	$ 2^{5} \cdot 5 \cdot 23^{2} $	$ - 2^{12} \cdot 5^{7} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$2128896$	$2.662502$	$25934336/950546875$	$1.08298$	$4.87019$	$[0, -1, 0, 52195, -1155078475]$	$y^2=x^3-x^2+52195x-1155078475$	230.2.0.?	$[]$
165600.ca1	165600dx1	165600.ca	165600dx	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{13} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$2322432$	$2.448780$	$25934336/950546875$	$1.08298$	$4.38478$	$[0, 0, 0, 22200, 320402000]$	$y^2=x^3+22200x+320402000$	230.2.0.?	$[]$
165600.de1	165600bm1	165600.de	165600bm	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{13} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$2322432$	$2.448780$	$25934336/950546875$	$1.08298$	$4.38478$	$[0, 0, 0, 22200, -320402000]$	$y^2=x^3+22200x-320402000$	230.2.0.?	$[]$
169280.i1	169280bs1	169280.i	169280bs	$1$	$1$	$ 2^{6} \cdot 5 \cdot 23^{2} $	$ - 2^{6} \cdot 5^{7} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$2128896$	$2.315926$	$25934336/950546875$	$1.08298$	$4.24435$	$[0, 1, 0, 13049, -144378285]$	$y^2=x^3+x^2+13049x-144378285$	230.2.0.?	$[]$
169280.ct1	169280dc1	169280.ct	169280dc	$1$	$1$	$ 2^{6} \cdot 5 \cdot 23^{2} $	$ - 2^{6} \cdot 5^{7} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$9$	$3$	$0$	$2128896$	$2.315926$	$25934336/950546875$	$1.08298$	$4.24435$	$[0, -1, 0, 13049, 144378285]$	$y^2=x^3-x^2+13049x+144378285$	230.2.0.?	$[]$
180320.i1	180320c1	180320.i	180320c	$1$	$1$	$ 2^{5} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 5^{7} \cdot 7^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$0.754817885$	$1$		$6$	$1524096$	$2.067707$	$25934336/950546875$	$1.08298$	$3.97608$	$[0, 1, 0, 4835, -32560725]$	$y^2=x^3+x^2+4835x-32560725$	230.2.0.?	$[(545, 11500)]$
180320.bw1	180320bw1	180320.bw	180320bw	$1$	$1$	$ 2^{5} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 5^{7} \cdot 7^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$3.877347446$	$1$		$2$	$1524096$	$2.067707$	$25934336/950546875$	$1.08298$	$3.97608$	$[0, -1, 0, 4835, 32560725]$	$y^2=x^3-x^2+4835x+32560725$	230.2.0.?	$[(-285, 2820)]$
331200.gs1	331200gs1	331200.gs	331200gs	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{13} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$2322432$	$2.102203$	$25934336/950546875$	$1.08298$	$3.81846$	$[0, 0, 0, 5550, 40050250]$	$y^2=x^3+5550x+40050250$	230.2.0.?	$[]$
331200.kl1	331200kl1	331200.kl	331200kl	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{6} \cdot 3^{6} \cdot 5^{13} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$2.087849258$	$1$		$0$	$2322432$	$2.102203$	$25934336/950546875$	$1.08298$	$3.81846$	$[0, 0, 0, 5550, -40050250]$	$y^2=x^3+5550x-40050250$	230.2.0.?	$[(3205/3, 71875/3)]$
360640.q1	360640q1	360640.q	360640q	$1$	$1$	$ 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{6} \cdot 5^{7} \cdot 7^{6} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$1524096$	$1.721136$	$25934336/950546875$	$1.08298$	$3.43567$	$[0, 1, 0, 1209, 4070695]$	$y^2=x^3+x^2+1209x+4070695$	230.2.0.?	$[]$
360640.hi1	360640hi1	360640.hi	360640hi	$1$	$1$	$ 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{6} \cdot 5^{7} \cdot 7^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$22.48718407$	$1$		$0$	$1524096$	$1.721136$	$25934336/950546875$	$1.08298$	$3.43567$	$[0, -1, 0, 1209, -4070695]$	$y^2=x^3-x^2+1209x-4070695$	230.2.0.?	$[(47031985616/1285, 10199588087311911/1285)]$
423200.e1	423200e1	423200.e	423200e	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 23^{2} $	$ - 2^{12} \cdot 5^{13} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$		$0$	$51093504$	$3.467220$	$25934336/950546875$	$1.08298$	$5.01054$	$[0, 1, 0, 1304867, -144382199637]$	$y^2=x^3+x^2+1304867x-144382199637$	230.2.0.?	$[]$
423200.cd1	423200cd1	423200.cd	423200cd	$1$	$1$	$ 2^{5} \cdot 5^{2} \cdot 23^{2} $	$ - 2^{12} \cdot 5^{13} \cdot 23^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$13.84814723$	$1$		$0$	$51093504$	$3.467220$	$25934336/950546875$	$1.08298$	$5.01054$	$[0, -1, 0, 1304867, 144382199637]$	$y^2=x^3-x^2+1304867x+144382199637$	230.2.0.?	$[(14616547/651, 104849780734700/651)]$
445280.i1	445280i1	445280.i	445280i	$1$	$1$	$ 2^{5} \cdot 5 \cdot 11^{2} \cdot 23 $	$ - 2^{12} \cdot 5^{7} \cdot 11^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$6.069676460$	$1$		$0$	$5644800$	$2.293701$	$25934336/950546875$	$1.08298$	$3.90824$	$[0, 1, 0, 11939, 126361035]$	$y^2=x^3+x^2+11939x+126361035$	230.2.0.?	$[(3141/2, 199287/2)]$
445280.bh1	445280bh1	445280.bh	445280bh	$1$	$1$	$ 2^{5} \cdot 5 \cdot 11^{2} \cdot 23 $	$ - 2^{12} \cdot 5^{7} \cdot 11^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$8.622874836$	$1$		$0$	$5644800$	$2.293701$	$25934336/950546875$	$1.08298$	$3.90824$	$[0, -1, 0, 11939, -126361035]$	$y^2=x^3-x^2+11939x-126361035$	230.2.0.?	$[(489465/4, 342434235/4)]$

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Elliptic 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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