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 (25 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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
4620.b1	4620c1	4620.b	4620c	$1$	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{5} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$0.155762258$	$1$	$8$	$4320$	$0.858641$	$-81756451446784/24958395$	$0.94954$	$4.45364$	$[0, -1, 0, -5741, 169401]$	$y^2=x^3-x^2-5741x+169401$	2310.2.0.?	$[(43, 14)]$
13860.y1	13860y1	13860.y	13860y	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$34560$	$1.407948$	$-81756451446784/24958395$	$0.94954$	$4.63178$	$[0, 0, 0, -51672, -4522156]$	$y^2=x^3-51672x-4522156$	2310.2.0.?	$[]$
18480.by1	18480cp1	18480.by	18480cp	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$17280$	$0.858641$	$-81756451446784/24958395$	$0.94954$	$3.82520$	$[0, 1, 0, -5741, -169401]$	$y^2=x^3+x^2-5741x-169401$	2310.2.0.?	$[]$
23100.u1	23100t1	23100.u	23100t	$1$	$1$	$ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{5} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1.781416021$	$1$	$2$	$103680$	$1.663361$	$-81756451446784/24958395$	$0.94954$	$4.70134$	$[0, 1, 0, -143533, 20888063]$	$y^2=x^3+x^2-143533x+20888063$	2310.2.0.?	$[(218, 75)]$
32340.bm1	32340bk1	32340.bm	32340bk	$1$	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{11} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$4.037404721$	$1$	$2$	$207360$	$1.831596$	$-81756451446784/24958395$	$0.94954$	$4.74342$	$[0, 1, 0, -281325, -57541905]$	$y^2=x^3+x^2-281325x-57541905$	2310.2.0.?	$[(1773, 70854)]$
50820.c1	50820b1	50820.c	50820b	$1$	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{5} \cdot 11^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$26.68745591$	$1$	$0$	$518400$	$2.057587$	$-81756451446784/24958395$	$0.94954$	$4.79583$	$[0, -1, 0, -694701, -222693975]$	$y^2=x^3-x^2-694701x-222693975$	2310.2.0.?	$[(3834340971704/30497, 7340034971255146039/30497)]$
55440.dg1	55440ea1	55440.dg	55440ea	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$138240$	$1.407948$	$-81756451446784/24958395$	$0.94954$	$4.04394$	$[0, 0, 0, -51672, 4522156]$	$y^2=x^3-51672x+4522156$	2310.2.0.?	$[]$
69300.y1	69300bk1	69300.y	69300bk	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$829440$	$2.212666$	$-81756451446784/24958395$	$0.94954$	$4.82934$	$[0, 0, 0, -1291800, -565269500]$	$y^2=x^3-1291800x-565269500$	2310.2.0.?	$[]$
73920.cd1	73920fk1	73920.cd	73920fk	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{5} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$24.03703481$	$1$	$0$	$138240$	$1.205214$	$-81756451446784/24958395$	$0.94954$	$3.72316$	$[0, -1, 0, -22965, -1332243]$	$y^2=x^3-x^2-22965x-1332243$	2310.2.0.?	$[(20947018508/8663, 2426048795235433/8663)]$
73920.ia1	73920du1	73920.ia	73920du	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{5} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$0.636485683$	$1$	$4$	$138240$	$1.205214$	$-81756451446784/24958395$	$0.94954$	$3.72316$	$[0, 1, 0, -22965, 1332243]$	$y^2=x^3+x^2-22965x+1332243$	2310.2.0.?	$[(78, 147)]$
92400.dk1	92400ep1	92400.dk	92400ep	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$414720$	$1.663361$	$-81756451446784/24958395$	$0.94954$	$4.13133$	$[0, -1, 0, -143533, -20888063]$	$y^2=x^3-x^2-143533x-20888063$	2310.2.0.?	$[]$
97020.y1	97020bv1	97020.y	97020bv	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{11} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$4.525974122$	$1$	$2$	$1658880$	$2.380901$	$-81756451446784/24958395$	$0.94954$	$4.86364$	$[0, 0, 0, -2531928, 1551099508]$	$y^2=x^3-2531928x+1551099508$	2310.2.0.?	$[(-763, 55125)]$
129360.dm1	129360fp1	129360.dm	129360fp	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{11} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1.727942770$	$1$	$4$	$829440$	$1.831596$	$-81756451446784/24958395$	$0.94954$	$4.18474$	$[0, -1, 0, -281325, 57541905]$	$y^2=x^3-x^2-281325x+57541905$	2310.2.0.?	$[(-583, 4802)]$
152460.bb1	152460k1	152460.bb	152460k	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 11^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$0.531068154$	$1$	$4$	$4147200$	$2.606895$	$-81756451446784/24958395$	$0.94954$	$4.90668$	$[0, 0, 0, -6252312, 6018989636]$	$y^2=x^3-6252312x+6018989636$	2310.2.0.?	$[(1540, 6534)]$
161700.x1	161700ee1	161700.x	161700ee	$1$	$1$	$ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{11} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$6.273863733$	$1$	$0$	$4976640$	$2.636314$	$-81756451446784/24958395$	$0.94954$	$4.91204$	$[0, -1, 0, -7033133, -7178671863]$	$y^2=x^3-x^2-7033133x-7178671863$	2310.2.0.?	$[(302368/3, 165729025/3)]$
203280.ez1	203280bi1	203280.ez	203280bi	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{5} \cdot 11^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$0.211034279$	$1$	$4$	$2073600$	$2.057587$	$-81756451446784/24958395$	$0.94954$	$4.25187$	$[0, 1, 0, -694701, 222693975]$	$y^2=x^3+x^2-694701x+222693975$	2310.2.0.?	$[(1239, 35574)]$
221760.cm1	221760et1	221760.cm	221760et	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$1105920$	$1.754520$	$-81756451446784/24958395$	$0.94954$	$3.92637$	$[0, 0, 0, -206688, 36177248]$	$y^2=x^3-206688x+36177248$	2310.2.0.?	$[]$
221760.ea1	221760lb1	221760.ea	221760lb	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$5.624613783$	$1$	$2$	$1105920$	$1.754520$	$-81756451446784/24958395$	$0.94954$	$3.92637$	$[0, 0, 0, -206688, -36177248]$	$y^2=x^3-206688x-36177248$	2310.2.0.?	$[(569, 5517)]$
254100.dl1	254100dl1	254100.dl	254100dl	$1$	$1$	$ 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{5} \cdot 11^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1.424769837$	$1$	$4$	$12441600$	$2.862309$	$-81756451446784/24958395$	$0.94954$	$4.95155$	$[0, 1, 0, -17367533, -27871481937]$	$y^2=x^3+x^2-17367533x-27871481937$	2310.2.0.?	$[(9973, 889350)]$
277200.hw1	277200hw1	277200.hw	277200hw	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{5} \cdot 11 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$0.273561305$	$1$	$20$	$3317760$	$2.212666$	$-81756451446784/24958395$	$0.94954$	$4.29514$	$[0, 0, 0, -1291800, 565269500]$	$y^2=x^3-1291800x+565269500$	2310.2.0.?	$[(430, 9450), (710, 2450)]$
355740.ef1	355740ef1	355740.ef	355740ef	$1$	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{11} \cdot 11^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$24883200$	$3.030544$	$-81756451446784/24958395$	$0.94954$	$4.97915$	$[0, 1, 0, -34040365, 76452114143]$	$y^2=x^3+x^2-34040365x+76452114143$	2310.2.0.?	$[]$
369600.fl1	369600fl1	369600.fl	369600fl	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$3317760$	$2.009933$	$-81756451446784/24958395$	$0.94954$	$4.00899$	$[0, -1, 0, -574133, 167678637]$	$y^2=x^3-x^2-574133x+167678637$	2310.2.0.?	$[]$
369600.tf1	369600tf1	369600.tf	369600tf	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 7^{5} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$3317760$	$2.009933$	$-81756451446784/24958395$	$0.94954$	$4.00899$	$[0, 1, 0, -574133, -167678637]$	$y^2=x^3+x^2-574133x-167678637$	2310.2.0.?	$[]$
388080.w1	388080w1	388080.w	388080w	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{11} \cdot 11 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$1$	$1$	$0$	$6635520$	$2.380901$	$-81756451446784/24958395$	$0.94954$	$4.33971$	$[0, 0, 0, -2531928, -1551099508]$	$y^2=x^3-2531928x-1551099508$	2310.2.0.?	$[]$
485100.hh1	485100hh1	485100.hh	485100hh	$1$	$1$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{11} \cdot 11 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2310$	$2$	$0$	$0.802924853$	$1$	$4$	$39813120$	$3.185619$	$-81756451446784/24958395$	$0.94954$	$5.00334$	$[0, 0, 0, -63298200, 193887438500]$	$y^2=x^3-63298200x+193887438500$	2310.2.0.?	$[(5656, 129654)]$

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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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