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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 (22 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	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	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
8280.b2	8280c1	8280.b	8280c	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$	$1$	$6912$	$0.890381$	$574992/66125$	$1.05106$	$3.76670$	$[0, 0, 0, 297, -27702]$	$y^2=x^3+297x-27702$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[]$
8280.n2	8280q1	8280.n	8280q	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$0.281827562$	$1$	$11$	$2304$	$0.341075$	$574992/66125$	$1.05106$	$3.03605$	$[0, 0, 0, 33, 1026]$	$y^2=x^3+33x+1026$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(-3, 30)]$
16560.q2	16560c1	16560.q	16560c	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$3.178017097$	$1$	$3$	$13824$	$0.890381$	$574992/66125$	$1.05106$	$3.49795$	$[0, 0, 0, 297, 27702]$	$y^2=x^3+297x+27702$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(-11, 152)]$
16560.bz2	16560h1	16560.bz	16560h	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1.244655647$	$1$	$5$	$4608$	$0.341075$	$574992/66125$	$1.05106$	$2.81942$	$[0, 0, 0, 33, -1026]$	$y^2=x^3+33x-1026$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(13, 40)]$
41400.bp2	41400d1	41400.bp	41400d	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$	$1$	$55296$	$1.145794$	$574992/66125$	$1.05106$	$3.48476$	$[0, 0, 0, 825, 128250]$	$y^2=x^3+825x+128250$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[]$
41400.bs2	41400bd1	41400.bs	41400bd	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$	$1$	$165888$	$1.695101$	$574992/66125$	$1.05106$	$4.10480$	$[0, 0, 0, 7425, -3462750]$	$y^2=x^3+7425x-3462750$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[]$
66240.v2	66240c1	66240.v	66240c	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1.561466238$	$1$	$5$	$36864$	$0.687649$	$574992/66125$	$1.05106$	$2.84197$	$[0, 0, 0, 132, 8208]$	$y^2=x^3+132x+8208$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(6, 96)]$
66240.cn2	66240do1	66240.cn	66240do	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$3.202903965$	$1$	$3$	$36864$	$0.687649$	$574992/66125$	$1.05106$	$2.84197$	$[0, 0, 0, 132, -8208]$	$y^2=x^3+132x-8208$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(72, 612)]$
66240.dy2	66240u1	66240.dy	66240u	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1.598497146$	$1$	$5$	$110592$	$1.236956$	$574992/66125$	$1.05106$	$3.43576$	$[0, 0, 0, 1188, -221616]$	$y^2=x^3+1188x-221616$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(108, 1080)]$
66240.fl2	66240dv1	66240.fl	66240dv	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1.227414709$	$1$	$5$	$110592$	$1.236956$	$574992/66125$	$1.05106$	$3.43576$	$[0, 0, 0, 1188, 221616]$	$y^2=x^3+1188x+221616$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(-8, 460)]$
82800.br2	82800d1	82800.br	82800d	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$3.863783533$	$1$	$3$	$110592$	$1.145794$	$574992/66125$	$1.05106$	$3.27146$	$[0, 0, 0, 825, -128250]$	$y^2=x^3+825x-128250$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(445, 9400)]$
82800.bu2	82800h1	82800.bu	82800h	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$	$1$	$331776$	$1.695101$	$574992/66125$	$1.05106$	$3.85355$	$[0, 0, 0, 7425, 3462750]$	$y^2=x^3+7425x+3462750$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[]$
190440.q2	190440v1	190440.q	190440v	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$5.076445438$	$1$	$3$	$1216512$	$1.908823$	$574992/66125$	$1.05106$	$3.80049$	$[0, 0, 0, 17457, -12483342]$	$y^2=x^3+17457x-12483342$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(501, 11046)]$
190440.bq2	190440bt1	190440.bq	190440bt	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$5.255296519$	$1$	$1$	$3649536$	$2.458130$	$574992/66125$	$1.05106$	$4.34270$	$[0, 0, 0, 157113, 337050234]$	$y^2=x^3+157113x+337050234$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(54073/4, 12714515/4)]$
331200.em2	331200em1	331200.em	331200em	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$3.444112885$	$1$	$15$	$884736$	$1.492367$	$574992/66125$	$1.05106$	$3.24185$	$[0, 0, 0, 3300, -1026000]$	$y^2=x^3+3300x-1026000$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(205, 2875), (580, 14000)]$
331200.ep2	331200ep1	331200.ep	331200ep	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{9} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$3.854419140$	$1$	$5$	$2654208$	$2.041676$	$574992/66125$	$1.05106$	$3.76045$	$[0, 0, 0, 29700, 27702000]$	$y^2=x^3+29700x+27702000$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(-216, 3348)]$
331200.mg2	331200mg1	331200.mg	331200mg	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$2.544962375$	$1$	$15$	$884736$	$1.492367$	$574992/66125$	$1.05106$	$3.24185$	$[0, 0, 0, 3300, 1026000]$	$y^2=x^3+3300x+1026000$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(-80, 500), (45, 1125)]$
331200.mj2	331200mj1	331200.mj	331200mj	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{9} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$8.563593513$	$1$	$1$	$2654208$	$2.041676$	$574992/66125$	$1.05106$	$3.76045$	$[0, 0, 0, 29700, -27702000]$	$y^2=x^3+29700x-27702000$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(45436/5, 9706184/5)]$
380880.u2	380880u1	380880.u	380880u	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 23^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$12.20040241$	$1$	$5$	$2433024$	$1.908823$	$574992/66125$	$1.05106$	$3.59549$	$[0, 0, 0, 17457, 12483342]$	$y^2=x^3+17457x+12483342$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(414, 9522), (-759/5, 431664/5)]$
380880.ei2	380880ei1	380880.ei	380880ei	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$7.824837009$	$1$	$1$	$7299072$	$2.458130$	$574992/66125$	$1.05106$	$4.10845$	$[0, 0, 0, 157113, -337050234]$	$y^2=x^3+157113x-337050234$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(10213/3, 974440/3)]$
405720.bu2	405720bu1	405720.bu	405720bu	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$2.635379705$	$1$	$5$	$829440$	$1.314030$	$574992/66125$	$1.05106$	$3.02518$	$[0, 0, 0, 1617, -351918]$	$y^2=x^3+1617x-351918$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[(109, 1058)]$
405720.fn2	405720fn1	405720.fn	405720fn	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$	$1$	$2488320$	$1.863337$	$574992/66125$	$1.05106$	$3.53563$	$[0, 0, 0, 14553, 9501786]$	$y^2=x^3+14553x+9501786$	2.3.0.a.1, 30.6.0.a.1, 276.6.0.?, 460.6.0.?, 1380.12.0.?	$[]$

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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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