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 (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	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
4680.b1	4680l1	4680.b	4680l	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.042961630$	$1$		$4$	$40320$	$1.972736$	$74251994112/29007265625$	$1.10272$	$5.55868$	$[0, 0, 0, 15012, -18380412]$	$y^2=x^3+15012x-18380412$	390.2.0.?	$[(456, 9126)]$
4680.n1	4680d1	4680.n	4680d	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.030919782$	$1$		$16$	$13440$	$1.423429$	$74251994112/29007265625$	$1.10272$	$4.77870$	$[0, 0, 0, 1668, 680756]$	$y^2=x^3+1668x+680756$	390.2.0.?	$[(862, 25350)]$
9360.y1	9360d1	9360.y	9360d	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$80640$	$1.972736$	$74251994112/29007265625$	$1.10272$	$5.13733$	$[0, 0, 0, 15012, 18380412]$	$y^2=x^3+15012x+18380412$	390.2.0.?	$[]$
9360.bx1	9360h1	9360.bx	9360h	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.271933505$	$1$		$4$	$26880$	$1.423429$	$74251994112/29007265625$	$1.10272$	$4.41647$	$[0, 0, 0, 1668, -680756]$	$y^2=x^3+1668x-680756$	390.2.0.?	$[(113, 975)]$
23400.bk1	23400b1	23400.bk	23400b	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{13} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$5.197612705$	$1$		$2$	$967680$	$2.777454$	$74251994112/29007265625$	$1.10272$	$5.62928$	$[0, 0, 0, 375300, -2297551500]$	$y^2=x^3+375300x-2297551500$	390.2.0.?	$[(1254, 12042)]$
23400.bn1	23400ba1	23400.bn	23400ba	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{13} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$322560$	$2.228149$	$74251994112/29007265625$	$1.10272$	$4.97408$	$[0, 0, 0, 41700, 85094500]$	$y^2=x^3+41700x+85094500$	390.2.0.?	$[]$
37440.k1	37440d1	37440.k	37440d	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$5.689639637$	$1$		$2$	$215040$	$1.770004$	$74251994112/29007265625$	$1.10272$	$4.23000$	$[0, 0, 0, 6672, 5446048]$	$y^2=x^3+6672x+5446048$	390.2.0.?	$[(377, 7845)]$
37440.cn1	37440cz1	37440.cn	37440cz	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$9$	$3$	$0$	$215040$	$1.770004$	$74251994112/29007265625$	$1.10272$	$4.23000$	$[0, 0, 0, 6672, -5446048]$	$y^2=x^3+6672x-5446048$	390.2.0.?	$[]$
37440.dk1	37440r1	37440.dk	37440r	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$645120$	$2.319309$	$74251994112/29007265625$	$1.10272$	$4.85596$	$[0, 0, 0, 60048, -147043296]$	$y^2=x^3+60048x-147043296$	390.2.0.?	$[]$
37440.fl1	37440dj1	37440.fl	37440dj	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.783096350$	$1$		$2$	$645120$	$2.319309$	$74251994112/29007265625$	$1.10272$	$4.85596$	$[0, 0, 0, 60048, 147043296]$	$y^2=x^3+60048x+147043296$	390.2.0.?	$[(897, 30375)]$
46800.u1	46800d1	46800.u	46800d	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{13} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$4.553872123$	$1$		$0$	$645120$	$2.228149$	$74251994112/29007265625$	$1.10272$	$4.65347$	$[0, 0, 0, 41700, -85094500]$	$y^2=x^3+41700x-85094500$	390.2.0.?	$[(8665/4, 628125/4)]$
46800.ba1	46800c1	46800.ba	46800c	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{13} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$11.61030241$	$1$		$0$	$1935360$	$2.777454$	$74251994112/29007265625$	$1.10272$	$5.26644$	$[0, 0, 0, 375300, 2297551500]$	$y^2=x^3+375300x+2297551500$	390.2.0.?	$[(-99615/37, 2413262025/37)]$
60840.u1	60840bh1	60840.u	60840bh	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$2257920$	$2.705906$	$74251994112/29007265625$	$1.10272$	$5.06307$	$[0, 0, 0, 281892, 1495620932]$	$y^2=x^3+281892x+1495620932$	390.2.0.?	$[]$
60840.by1	60840e1	60840.by	60840e	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$6773760$	$3.255211$	$74251994112/29007265625$	$1.10272$	$5.66144$	$[0, 0, 0, 2537028, -40381765164]$	$y^2=x^3+2537028x-40381765164$	390.2.0.?	$[]$
121680.m1	121680e1	121680.m	121680e	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$17.65652209$	$1$		$0$	$4515840$	$2.705906$	$74251994112/29007265625$	$1.10272$	$4.76335$	$[0, 0, 0, 281892, -1495620932]$	$y^2=x^3+281892x-1495620932$	390.2.0.?	$[(1047133529/47, 33884678400963/47)]$
121680.di1	121680j1	121680.di	121680j	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$13547520$	$3.255211$	$74251994112/29007265625$	$1.10272$	$5.32630$	$[0, 0, 0, 2537028, 40381765164]$	$y^2=x^3+2537028x+40381765164$	390.2.0.?	$[]$
187200.ch1	187200he1	187200.ch	187200he	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{13} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.606031036$	$1$		$0$	$15482880$	$3.124027$	$74251994112/29007265625$	$1.10272$	$5.00763$	$[0, 0, 0, 1501200, 18380412000]$	$y^2=x^3+1501200x+18380412000$	390.2.0.?	$[(1065/2, 1096875/2)]$
187200.de1	187200hf1	187200.de	187200hf	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{13} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$4.656963502$	$1$		$2$	$5160960$	$2.574722$	$74251994112/29007265625$	$1.10272$	$4.46465$	$[0, 0, 0, 166800, -680756000]$	$y^2=x^3+166800x-680756000$	390.2.0.?	$[(19265, 2674425)]$
187200.np1	187200qi1	187200.np	187200qi	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{13} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.574722$	$74251994112/29007265625$	$1.10272$	$4.46465$	$[0, 0, 0, 166800, 680756000]$	$y^2=x^3+166800x+680756000$	390.2.0.?	$[]$
187200.oh1	187200qj1	187200.oh	187200qj	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{13} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$15482880$	$3.124027$	$74251994112/29007265625$	$1.10272$	$5.00763$	$[0, 0, 0, 1501200, -18380412000]$	$y^2=x^3+1501200x-18380412000$	390.2.0.?	$[]$
229320.cc1	229320ev1	229320.cc	229320ev	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$4435200$	$2.396385$	$74251994112/29007265625$	$1.10272$	$4.21786$	$[0, 0, 0, 81732, -233499308]$	$y^2=x^3+81732x-233499308$	390.2.0.?	$[]$
229320.db1	229320cd1	229320.db	229320cd	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$13305600$	$2.945690$	$74251994112/29007265625$	$1.10272$	$4.75191$	$[0, 0, 0, 735588, 6304481316]$	$y^2=x^3+735588x+6304481316$	390.2.0.?	$[]$
304200.r1	304200r1	304200.r	304200r	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{13} \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.464145004$	$1$		$4$	$54190080$	$3.510624$	$74251994112/29007265625$	$1.10272$	$5.18250$	$[0, 0, 0, 7047300, 186952616500]$	$y^2=x^3+7047300x+186952616500$	390.2.0.?	$[(12090, 1428050)]$
304200.be1	304200be1	304200.be	304200be	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{13} \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$162570240$	$4.059929$	$74251994112/29007265625$	$1.10272$	$5.70460$	$[0, 0, 0, 63425700, -5047720645500]$	$y^2=x^3+63425700x-5047720645500$	390.2.0.?	$[]$
458640.bn1	458640bn1	458640.bn	458640bn	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 7^{6} \cdot 13^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$8870400$	$2.396385$	$74251994112/29007265625$	$1.10272$	$3.99359$	$[0, 0, 0, 81732, 233499308]$	$y^2=x^3+81732x+233499308$	390.2.0.?	$[]$
458640.mp1	458640mp1	458640.mp	458640mp	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{6} \cdot 13^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$12.39465876$	$1$		$0$	$26611200$	$2.945690$	$74251994112/29007265625$	$1.10272$	$4.49924$	$[0, 0, 0, 735588, -6304481316]$	$y^2=x^3+735588x-6304481316$	390.2.0.?	$[(3938433/29, 7706427345/29)]$
486720.bp1	486720bp1	486720.bp	486720bp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$108380160$	$3.601784$	$74251994112/29007265625$	$1.10272$	$5.08004$	$[0, 0, 0, 10148112, 323054121312]$	$y^2=x^3+10148112x+323054121312$	390.2.0.?	$[]$
486720.gy1	486720gy1	486720.gy	486720gy	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$36.44350197$	$1$		$0$	$108380160$	$3.601784$	$74251994112/29007265625$	$1.10272$	$5.08004$	$[0, 0, 0, 10148112, -323054121312]$	$y^2=x^3+10148112x-323054121312$	390.2.0.?	$[(6389240526020016561/30770306, 6689524545893957856981793641/30770306)]$
486720.jq1	486720jq1	486720.jq	486720jq	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 13^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.978888837$	$1$		$0$	$36126720$	$3.052479$	$74251994112/29007265625$	$1.10272$	$4.57668$	$[0, 0, 0, 1127568, -11964967456]$	$y^2=x^3+1127568x-11964967456$	390.2.0.?	$[(9217/2, 428415/2)]$
486720.pq1	486720pq1	486720.pq	486720pq	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 13^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$36126720$	$3.052479$	$74251994112/29007265625$	$1.10272$	$4.57668$	$[0, 0, 0, 1127568, 11964967456]$	$y^2=x^3+1127568x+11964967456$	390.2.0.?	$[]$

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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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