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

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Results (30 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
4680.j1	4680a1	4680.j	4680a	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.717281886$	$1$	$4$	$1920$	$0.322206$	$-27648/65$	$0.73656$	$3.22822$	$[0, 0, 0, -108, -972]$	$y^2=x^3-108x-972$	390.2.0.?	$[(18, 54)]$
4680.v1	4680m1	4680.v	4680m	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.395397134$	$1$	$6$	$640$	$-0.227101$	$-27648/65$	$0.73656$	$2.44824$	$[0, 0, 0, -12, 36]$	$y^2=x^3-12x+36$	390.2.0.?	$[(0, 6)]$
9360.c1	9360b1	9360.c	9360b	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.097036898$	$1$	$2$	$3840$	$0.322206$	$-27648/65$	$0.73656$	$2.98351$	$[0, 0, 0, -108, 972]$	$y^2=x^3-108x+972$	390.2.0.?	$[(9, 27)]$
9360.bd1	9360f1	9360.bd	9360f	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$1280$	$-0.227101$	$-27648/65$	$0.73656$	$2.26266$	$[0, 0, 0, -12, -36]$	$y^2=x^3-12x-36$	390.2.0.?	$[]$
23400.g1	23400e1	23400.g	23400e	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.190050146$	$1$	$24$	$15360$	$0.577619$	$-27648/65$	$0.73656$	$3.01643$	$[0, 0, 0, -300, 4500]$	$y^2=x^3-300x+4500$	390.2.0.?	$[(10, 50), (30, 150)]$
23400.j1	23400bd1	23400.j	23400bd	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.030080095$	$1$	$2$	$46080$	$1.126925$	$-27648/65$	$0.73656$	$3.67164$	$[0, 0, 0, -2700, -121500]$	$y^2=x^3-2700x-121500$	390.2.0.?	$[(360, 6750)]$
37440.j1	37440df1	37440.j	37440df	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.084026021$	$1$	$2$	$10240$	$0.119473$	$-27648/65$	$0.73656$	$2.35972$	$[0, 0, 0, -48, -288]$	$y^2=x^3-48x-288$	390.2.0.?	$[(9, 3)]$
37440.co1	37440l1	37440.co	37440l	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$10240$	$0.119473$	$-27648/65$	$0.73656$	$2.35972$	$[0, 0, 0, -48, 288]$	$y^2=x^3-48x+288$	390.2.0.?	$[]$
37440.dm1	37440dp1	37440.dm	37440dp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$30720$	$0.668779$	$-27648/65$	$0.73656$	$2.98568$	$[0, 0, 0, -432, 7776]$	$y^2=x^3-432x+7776$	390.2.0.?	$[]$
37440.fj1	37440z1	37440.fj	37440z	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$6.917729801$	$1$	$0$	$30720$	$0.668779$	$-27648/65$	$0.73656$	$2.98568$	$[0, 0, 0, -432, -7776]$	$y^2=x^3-432x-7776$	390.2.0.?	$[(4545/7, 297081/7)]$
46800.eq1	46800j1	46800.eq	46800j	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$92160$	$1.126925$	$-27648/65$	$0.73656$	$3.43498$	$[0, 0, 0, -2700, 121500]$	$y^2=x^3-2700x+121500$	390.2.0.?	$[]$
46800.fa1	46800i1	46800.fa	46800i	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$30720$	$0.577619$	$-27648/65$	$0.73656$	$2.82200$	$[0, 0, 0, -300, -4500]$	$y^2=x^3-300x-4500$	390.2.0.?	$[]$
60840.f1	60840a1	60840.f	60840a	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.270438730$	$1$	$8$	$107520$	$1.055374$	$-27648/65$	$0.73656$	$3.27522$	$[0, 0, 0, -2028, 79092]$	$y^2=x^3-2028x+79092$	390.2.0.?	$[(-26, 338)]$
60840.bd1	60840bi1	60840.bd	60840bi	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.665530684$	$1$	$2$	$322560$	$1.604681$	$-27648/65$	$0.73656$	$3.87360$	$[0, 0, 0, -18252, -2135484]$	$y^2=x^3-18252x-2135484$	390.2.0.?	$[(585, 13689)]$
121680.ci1	121680d1	121680.ci	121680d	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.236872287$	$1$	$0$	$215040$	$1.055374$	$-27648/65$	$0.73656$	$3.08134$	$[0, 0, 0, -2028, -79092]$	$y^2=x^3-2028x-79092$	390.2.0.?	$[(273/2, 2535/2)]$
121680.fm1	121680i1	121680.fm	121680i	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$645120$	$1.604681$	$-27648/65$	$0.73656$	$3.64429$	$[0, 0, 0, -18252, 2135484]$	$y^2=x^3-18252x+2135484$	390.2.0.?	$[]$
187200.bz1	187200pc1	187200.bz	187200pc	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$3.119664914$	$1$	$0$	$737280$	$1.473497$	$-27648/65$	$0.73656$	$3.38530$	$[0, 0, 0, -10800, -972000]$	$y^2=x^3-10800x-972000$	390.2.0.?	$[(585/2, 6075/2)]$
187200.dg1	187200pd1	187200.dg	187200pd	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.886998847$	$1$	$2$	$245760$	$0.924191$	$-27648/65$	$0.73656$	$2.84233$	$[0, 0, 0, -1200, 36000]$	$y^2=x^3-1200x+36000$	390.2.0.?	$[(-15, 225)]$
187200.nf1	187200ig1	187200.nf	187200ig	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$245760$	$0.924191$	$-27648/65$	$0.73656$	$2.84233$	$[0, 0, 0, -1200, -36000]$	$y^2=x^3-1200x-36000$	390.2.0.?	$[]$
187200.on1	187200ih1	187200.on	187200ih	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$737280$	$1.473497$	$-27648/65$	$0.73656$	$3.38530$	$[0, 0, 0, -10800, 972000]$	$y^2=x^3-10800x+972000$	390.2.0.?	$[]$
229320.d1	229320cj1	229320.d	229320cj	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$211200$	$0.745854$	$-27648/65$	$0.73656$	$2.62221$	$[0, 0, 0, -588, -12348]$	$y^2=x^3-588x-12348$	390.2.0.?	$[]$
229320.ez1	229320eq1	229320.ez	229320eq	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$633600$	$1.295160$	$-27648/65$	$0.73656$	$3.15626$	$[0, 0, 0, -5292, 333396]$	$y^2=x^3-5292x+333396$	390.2.0.?	$[]$
304200.eu1	304200eu1	304200.eu	304200eu	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.793303817$	$1$	$4$	$7741440$	$2.409401$	$-27648/65$	$0.73656$	$4.14466$	$[0, 0, 0, -456300, -266935500]$	$y^2=x^3-456300x-266935500$	390.2.0.?	$[(910, 8450)]$
304200.fl1	304200fl1	304200.fl	304200fl	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$2580480$	$1.860092$	$-27648/65$	$0.73656$	$3.62257$	$[0, 0, 0, -50700, 9886500]$	$y^2=x^3-50700x+9886500$	390.2.0.?	$[]$
458640.gv1	458640gv1	458640.gv	458640gv	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$3.678685538$	$1$	$2$	$422400$	$0.745854$	$-27648/65$	$0.73656$	$2.48279$	$[0, 0, 0, -588, 12348]$	$y^2=x^3-588x+12348$	390.2.0.?	$[(57, 405)]$
458640.hz1	458640hz1	458640.hz	458640hz	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$1267200$	$1.295160$	$-27648/65$	$0.73656$	$2.98844$	$[0, 0, 0, -5292, -333396]$	$y^2=x^3-5292x-333396$	390.2.0.?	$[]$
486720.bt1	486720bt1	486720.bt	486720bt	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$11.27455894$	$1$	$0$	$5160960$	$1.951254$	$-27648/65$	$0.73656$	$3.57609$	$[0, 0, 0, -73008, -17083872]$	$y^2=x^3-73008x-17083872$	390.2.0.?	$[(5269329/17, 12094409457/17)]$
486720.gs1	486720gs1	486720.gs	486720gs	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$5160960$	$1.951254$	$-27648/65$	$0.73656$	$3.57609$	$[0, 0, 0, -73008, 17083872]$	$y^2=x^3-73008x+17083872$	390.2.0.?	$[]$
486720.jp1	486720jp1	486720.jp	486720jp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{3} \cdot 5 \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$1720320$	$1.401947$	$-27648/65$	$0.73656$	$3.07273$	$[0, 0, 0, -8112, 632736]$	$y^2=x^3-8112x+632736$	390.2.0.?	$[]$
486720.pv1	486720pv1	486720.pv	486720pv	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{3} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$14.78178865$	$1$	$0$	$1720320$	$1.401947$	$-27648/65$	$0.73656$	$3.07273$	$[0, 0, 0, -8112, -632736]$	$y^2=x^3-8112x-632736$	390.2.0.?	$[(42223545/517, 196784010501/517)]$

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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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