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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
6240.f1	6240t1	6240.f	6240t	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5 \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$4480$	$0.680555$	$-4283098624/5569395$	$0.91949$	$3.62449$	$[0, -1, 0, -541, -8555]$	$y^2=x^3-x^2-541x-8555$	390.2.0.?	$[]$
6240.s1	6240j1	6240.s	6240j	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5 \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$4480$	$0.680555$	$-4283098624/5569395$	$0.91949$	$3.62449$	$[0, 1, 0, -541, 8555]$	$y^2=x^3+x^2-541x+8555$	390.2.0.?	$[]$
12480.bd1	12480p1	12480.bd	12480p	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5 \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.511957763$	$1$	$2$	$4480$	$0.333982$	$-4283098624/5569395$	$0.91949$	$2.91718$	$[0, -1, 0, -135, 1137]$	$y^2=x^3-x^2-135x+1137$	390.2.0.?	$[(32, 169)]$
12480.db1	12480bj1	12480.db	12480bj	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5 \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$4480$	$0.333982$	$-4283098624/5569395$	$0.91949$	$2.91718$	$[0, 1, 0, -135, -1137]$	$y^2=x^3+x^2-135x-1137$	390.2.0.?	$[]$
18720.bd1	18720bk1	18720.bd	18720bk	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5 \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$35840$	$1.229862$	$-4283098624/5569395$	$0.91949$	$3.88978$	$[0, 0, 0, -4872, -235856]$	$y^2=x^3-4872x-235856$	390.2.0.?	$[]$
18720.bm1	18720o1	18720.bm	18720o	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5 \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.316585455$	$1$	$2$	$35840$	$1.229862$	$-4283098624/5569395$	$0.91949$	$3.88978$	$[0, 0, 0, -4872, 235856]$	$y^2=x^3-4872x+235856$	390.2.0.?	$[(40, 324)]$
31200.o1	31200bj1	31200.o	31200bj	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.550390431$	$1$	$4$	$107520$	$1.485275$	$-4283098624/5569395$	$0.91949$	$3.99395$	$[0, -1, 0, -13533, 1096437]$	$y^2=x^3-x^2-13533x+1096437$	390.2.0.?	$[(-73, 1300)]$
31200.bv1	31200s1	31200.bv	31200s	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.551422852$	$1$	$2$	$107520$	$1.485275$	$-4283098624/5569395$	$0.91949$	$3.99395$	$[0, 1, 0, -13533, -1096437]$	$y^2=x^3+x^2-13533x-1096437$	390.2.0.?	$[(1373, 50700)]$
37440.y1	37440bo1	37440.y	37440bo	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5 \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.281986416$	$1$	$2$	$35840$	$0.883288$	$-4283098624/5569395$	$0.91949$	$3.23880$	$[0, 0, 0, -1218, -29482]$	$y^2=x^3-1218x-29482$	390.2.0.?	$[(61, 351)]$
37440.ca1	37440bn1	37440.ca	37440bn	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5 \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.332713091$	$1$	$2$	$35840$	$0.883288$	$-4283098624/5569395$	$0.91949$	$3.23880$	$[0, 0, 0, -1218, 29482]$	$y^2=x^3-1218x+29482$	390.2.0.?	$[(17, 117)]$
62400.bz1	62400f1	62400.bz	62400f	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$4.633826820$	$1$	$2$	$107520$	$1.138700$	$-4283098624/5569395$	$0.91949$	$3.36655$	$[0, -1, 0, -3383, -135363]$	$y^2=x^3-x^2-3383x-135363$	390.2.0.?	$[(732, 19725)]$
62400.gg1	62400cd1	62400.gg	62400cd	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5^{7} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$107520$	$1.138700$	$-4283098624/5569395$	$0.91949$	$3.36655$	$[0, 1, 0, -3383, 135363]$	$y^2=x^3+x^2-3383x+135363$	390.2.0.?	$[]$
81120.s1	81120i1	81120.s	81120i	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5 \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$752640$	$1.963030$	$-4283098624/5569395$	$0.91949$	$4.16352$	$[0, -1, 0, -91485, -19161195]$	$y^2=x^3-x^2-91485x-19161195$	390.2.0.?	$[]$
81120.by1	81120bz1	81120.by	81120bz	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5 \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$752640$	$1.963030$	$-4283098624/5569395$	$0.91949$	$4.16352$	$[0, 1, 0, -91485, 19161195]$	$y^2=x^3+x^2-91485x+19161195$	390.2.0.?	$[]$
93600.cb1	93600dx1	93600.cb	93600dx	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 13^{5} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.254445154$	$1$	$20$	$860160$	$2.034580$	$-4283098624/5569395$	$0.91949$	$4.18648$	$[0, 0, 0, -121800, 29482000]$	$y^2=x^3-121800x+29482000$	390.2.0.?	$[(560, 11700), (-64, 6084)]$
93600.dc1	93600bi1	93600.dc	93600bi	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.748503040$	$1$	$4$	$860160$	$2.034580$	$-4283098624/5569395$	$0.91949$	$4.18648$	$[0, 0, 0, -121800, -29482000]$	$y^2=x^3-121800x-29482000$	390.2.0.?	$[(740, 16900)]$
162240.be1	162240hz1	162240.be	162240hz	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3 \cdot 5 \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$7.455688150$	$1$	$0$	$752640$	$1.616457$	$-4283098624/5569395$	$0.91949$	$3.57630$	$[0, -1, 0, -22871, 2406585]$	$y^2=x^3-x^2-22871x+2406585$	390.2.0.?	$[(9760/11, 1383265/11)]$
162240.fa1	162240gb1	162240.fa	162240gb	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3 \cdot 5 \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$752640$	$1.616457$	$-4283098624/5569395$	$0.91949$	$3.57630$	$[0, 1, 0, -22871, -2406585]$	$y^2=x^3+x^2-22871x-2406585$	390.2.0.?	$[]$
187200.ge1	187200lx1	187200.ge	187200lx	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$860160$	$1.688007$	$-4283098624/5569395$	$0.91949$	$3.60487$	$[0, 0, 0, -30450, 3685250]$	$y^2=x^3-30450x+3685250$	390.2.0.?	$[]$
187200.kg1	187200nb1	187200.kg	187200nb	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$860160$	$1.688007$	$-4283098624/5569395$	$0.91949$	$3.60487$	$[0, 0, 0, -30450, -3685250]$	$y^2=x^3-30450x-3685250$	390.2.0.?	$[]$
243360.ba1	243360ba1	243360.ba	243360ba	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{7} \cdot 5 \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.798883256$	$1$	$0$	$6021120$	$2.512337$	$-4283098624/5569395$	$0.91949$	$4.32620$	$[0, 0, 0, -823368, 518175632]$	$y^2=x^3-823368x+518175632$	390.2.0.?	$[(-8528/3, 571220/3)]$
243360.bv1	243360bv1	243360.bv	243360bv	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{7} \cdot 5 \cdot 13^{11} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$6.021803842$	$1$	$4$	$6021120$	$2.512337$	$-4283098624/5569395$	$0.91949$	$4.32620$	$[0, 0, 0, -823368, -518175632]$	$y^2=x^3-823368x-518175632$	390.2.0.?	$[(4121, 257049), (59124/7, 5369468/7)]$
305760.dd1	305760dd1	305760.dd	305760dd	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$1693440$	$1.653511$	$-4283098624/5569395$	$0.91949$	$3.43206$	$[0, -1, 0, -26525, -2987403]$	$y^2=x^3-x^2-26525x-2987403$	390.2.0.?	$[]$
305760.go1	305760go1	305760.go	305760go	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$	$0$	$1693440$	$1.653511$	$-4283098624/5569395$	$0.91949$	$3.43206$	$[0, 1, 0, -26525, 2987403]$	$y^2=x^3+x^2-26525x+2987403$	390.2.0.?	$[]$
405600.bp1	405600bp1	405600.bp	405600bp	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{7} \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.289694190$	$1$	$2$	$18063360$	$2.767750$	$-4283098624/5569395$	$0.91949$	$4.39241$	$[0, -1, 0, -2287133, 2399723637]$	$y^2=x^3-x^2-2287133x+2399723637$	390.2.0.?	$[(-1473, 50700)]$
405600.fr1	405600fr1	405600.fr	405600fr	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{7} \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$14.14949328$	$1$	$0$	$18063360$	$2.767750$	$-4283098624/5569395$	$0.91949$	$4.39241$	$[0, 1, 0, -2287133, -2399723637]$	$y^2=x^3+x^2-2287133x-2399723637$	390.2.0.?	$[(369089917/123, 7076770608700/123)]$
486720.lo1	486720lo1	486720.lo	486720lo	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{7} \cdot 5 \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$4.988503724$	$1$	$2$	$6021120$	$2.165764$	$-4283098624/5569395$	$0.91949$	$3.77963$	$[0, 0, 0, -205842, 64771954]$	$y^2=x^3-205842x+64771954$	390.2.0.?	$[(329, 5715)]$
486720.nz1	486720nz1	486720.nz	486720nz	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{7} \cdot 5 \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$25.26581646$	$1$	$0$	$6021120$	$2.165764$	$-4283098624/5569395$	$0.91949$	$3.77963$	$[0, 0, 0, -205842, -64771954]$	$y^2=x^3-205842x-64771954$	390.2.0.?	$[(3649987144765/6733, 6973167223818538587/6733)]$

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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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