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 (24 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
7800.l1	7800c1	7800.l	7800c	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$28800$	$1.264341$	$351232/59319$	$1.13031$	$4.29286$	$[0, -1, 0, 1167, -261963]$	$y^2=x^3-x^2+1167x-261963$	390.2.0.?	$[]$
7800.m1	7800x1	7800.m	7800x	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.180950656$	$1$	$8$	$5760$	$0.459622$	$351232/59319$	$1.13031$	$3.21534$	$[0, 1, 0, 47, -2077]$	$y^2=x^3+x^2+47x-2077$	390.2.0.?	$[(53, 390)]$
15600.bm1	15600l1	15600.bm	15600l	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.681465190$	$1$	$2$	$11520$	$0.459622$	$351232/59319$	$1.13031$	$2.98450$	$[0, -1, 0, 47, 2077]$	$y^2=x^3-x^2+47x+2077$	390.2.0.?	$[(12, 65)]$
15600.bn1	15600v1	15600.bn	15600v	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.493116188$	$1$	$2$	$57600$	$1.264341$	$351232/59319$	$1.13031$	$3.98467$	$[0, 1, 0, 1167, 261963]$	$y^2=x^3+x^2+1167x+261963$	390.2.0.?	$[(-42, 375)]$
23400.a1	23400y1	23400.a	23400y	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 13^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.109213978$	$1$	$34$	$46080$	$1.008928$	$351232/59319$	$1.13031$	$3.51942$	$[0, 0, 0, 420, 56500]$	$y^2=x^3+420x+56500$	390.2.0.?	$[(74, 702), (-30, 130)]$
23400.bt1	23400bs1	23400.bt	23400bs	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$230400$	$1.813646$	$351232/59319$	$1.13031$	$4.47928$	$[0, 0, 0, 10500, 7062500]$	$y^2=x^3+10500x+7062500$	390.2.0.?	$[]$
46800.c1	46800bn1	46800.c	46800bn	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$3.337124525$	$1$	$0$	$460800$	$1.813646$	$351232/59319$	$1.13031$	$4.19056$	$[0, 0, 0, 10500, -7062500]$	$y^2=x^3+10500x-7062500$	390.2.0.?	$[(1625/2, 64125/2)]$
46800.fr1	46800bu1	46800.fr	46800bu	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$92160$	$1.008928$	$351232/59319$	$1.13031$	$3.29257$	$[0, 0, 0, 420, -56500]$	$y^2=x^3+420x-56500$	390.2.0.?	$[]$
62400.a1	62400bo1	62400.a	62400bo	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$92160$	$0.806195$	$351232/59319$	$1.13031$	$2.98645$	$[0, -1, 0, 187, -16803]$	$y^2=x^3-x^2+187x-16803$	390.2.0.?	$[]$
62400.c1	62400gb1	62400.c	62400gb	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$460800$	$1.610914$	$351232/59319$	$1.13031$	$3.86104$	$[0, -1, 0, 4667, 2091037]$	$y^2=x^3-x^2+4667x+2091037$	390.2.0.?	$[]$
62400.if1	62400dw1	62400.if	62400dw	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$460800$	$1.610914$	$351232/59319$	$1.13031$	$3.86104$	$[0, 1, 0, 4667, -2091037]$	$y^2=x^3+x^2+4667x-2091037$	390.2.0.?	$[]$
62400.ih1	62400hx1	62400.ih	62400hx	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$92160$	$0.806195$	$351232/59319$	$1.13031$	$2.98645$	$[0, 1, 0, 187, 16803]$	$y^2=x^3+x^2+187x+16803$	390.2.0.?	$[]$
101400.a1	101400cq1	101400.a	101400cq	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.052551498$	$1$	$4$	$4838400$	$2.546814$	$351232/59319$	$1.13031$	$4.67273$	$[0, -1, 0, 197167, -574743963]$	$y^2=x^3-x^2+197167x-574743963$	390.2.0.?	$[(763, 4394)]$
101400.dt1	101400bw1	101400.dt	101400bw	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.069547330$	$1$	$4$	$967680$	$1.742096$	$351232/59319$	$1.13031$	$3.83498$	$[0, 1, 0, 7887, -4594797]$	$y^2=x^3+x^2+7887x-4594797$	390.2.0.?	$[(303, 5070)]$
187200.a1	187200a1	187200.a	187200a	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{9} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.574380759$	$1$	$2$	$3686400$	$2.160221$	$351232/59319$	$1.13031$	$4.05461$	$[0, 0, 0, 42000, -56500000]$	$y^2=x^3+42000x-56500000$	390.2.0.?	$[(625, 14625)]$
187200.i1	187200ik1	187200.i	187200ik	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$3.427043487$	$1$	$2$	$737280$	$1.355501$	$351232/59319$	$1.13031$	$3.25916$	$[0, 0, 0, 1680, 452000]$	$y^2=x^3+1680x+452000$	390.2.0.?	$[(145, 1935)]$
187200.qf1	187200cf1	187200.qf	187200cf	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$737280$	$1.355501$	$351232/59319$	$1.13031$	$3.25916$	$[0, 0, 0, 1680, -452000]$	$y^2=x^3+1680x-452000$	390.2.0.?	$[]$
187200.qn1	187200ko1	187200.qn	187200ko	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{9} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$3686400$	$2.160221$	$351232/59319$	$1.13031$	$4.05461$	$[0, 0, 0, 42000, 56500000]$	$y^2=x^3+42000x+56500000$	390.2.0.?	$[]$
202800.d1	202800ip1	202800.d	202800ip	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$1935360$	$1.742096$	$351232/59319$	$1.13031$	$3.61745$	$[0, -1, 0, 7887, 4594797]$	$y^2=x^3-x^2+7887x+4594797$	390.2.0.?	$[]$
202800.kn1	202800hk1	202800.kn	202800hk	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$4.062991175$	$1$	$2$	$9676800$	$2.546814$	$351232/59319$	$1.13031$	$4.40768$	$[0, 1, 0, 197167, 574743963]$	$y^2=x^3+x^2+197167x+574743963$	390.2.0.?	$[(10222, 1034787)]$
304200.c1	304200c1	304200.c	304200c	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.436166427$	$1$	$4$	$38707200$	$3.096123$	$351232/59319$	$1.13031$	$4.78823$	$[0, 0, 0, 1774500, 15516312500]$	$y^2=x^3+1774500x+15516312500$	390.2.0.?	$[(6500, 549250)]$
304200.ga1	304200ga1	304200.ga	304200ga	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$7741440$	$2.291401$	$351232/59319$	$1.13031$	$4.02337$	$[0, 0, 0, 70980, 124130500]$	$y^2=x^3+70980x+124130500$	390.2.0.?	$[]$
382200.es1	382200es1	382200.es	382200es	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$1347840$	$1.432577$	$351232/59319$	$1.13031$	$3.15014$	$[0, -1, 0, 2287, 716997]$	$y^2=x^3-x^2+2287x+716997$	390.2.0.?	$[]$
382200.jk1	382200jk1	382200.jk	382200jk	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 7^{6} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.857700928$	$1$	$4$	$6739200$	$2.237297$	$351232/59319$	$1.13031$	$3.90141$	$[0, 1, 0, 57167, 89738963]$	$y^2=x^3+x^2+57167x+89738963$	390.2.0.?	$[(83, 9750)]$

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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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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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