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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 (20 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	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
81120.n2	81120bf1	81120.n	81120bf	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.575115846$	$1$		$3$	$32256$	$0.214956$	$314432/675$	$1.11492$	$2.25670$	$[0, -1, 0, 74, 376]$	$y^2=x^3-x^2+74x+376$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(36, 220)]$
81120.p2	81120m1	81120.p	81120m	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$3.881943068$	$1$		$3$	$419328$	$1.497431$	$314432/675$	$1.11492$	$3.61818$	$[0, -1, 0, 12450, 875952]$	$y^2=x^3-x^2+12450x+875952$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(-16, 820)]$
81120.bc2	81120bu1	81120.bc	81120bu	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.789617427$	$1$		$15$	$32256$	$0.214956$	$314432/675$	$1.11492$	$2.25670$	$[0, 1, 0, 74, -376]$	$y^2=x^3+x^2+74x-376$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(14, 60), (5, 12)]$
81120.cc2	81120x1	81120.cc	81120x	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$1$	$419328$	$1.497431$	$314432/675$	$1.11492$	$3.61818$	$[0, 1, 0, 12450, -875952]$	$y^2=x^3+x^2+12450x-875952$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
162240.bw2	162240ej1	162240.bw	162240ej	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$7.427833418$	$1$		$3$	$1677312$	$1.844006$	$314432/675$	$1.11492$	$3.75579$	$[0, -1, 0, 49799, -7057415]$	$y^2=x^3-x^2+49799x-7057415$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(7403, 637200)]$
162240.cf2	162240ca1	162240.cf	162240ca	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$129024$	$0.561530$	$314432/675$	$1.11492$	$2.47298$	$[0, -1, 0, 295, -3303]$	$y^2=x^3-x^2+295x-3303$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
162240.ej2	162240bb1	162240.ej	162240bb	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$1677312$	$1.844006$	$314432/675$	$1.11492$	$3.75579$	$[0, 1, 0, 49799, 7057415]$	$y^2=x^3+x^2+49799x+7057415$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
162240.if2	162240t1	162240.if	162240t	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.971757080$	$1$		$5$	$129024$	$0.561530$	$314432/675$	$1.11492$	$2.47298$	$[0, 1, 0, 295, 3303]$	$y^2=x^3+x^2+295x+3303$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(1, 60)]$
243360.h2	243360h1	243360.h	243360h	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$3354624$	$2.046738$	$314432/675$	$1.11492$	$3.82916$	$[0, 0, 0, 112047, -23762752]$	$y^2=x^3+112047x-23762752$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
243360.cn2	243360cn1	243360.cn	243360cn	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$1$	$3354624$	$2.046738$	$314432/675$	$1.11492$	$3.82916$	$[0, 0, 0, 112047, 23762752]$	$y^2=x^3+112047x+23762752$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
243360.dc2	243360dc1	243360.dc	243360dc	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.696210387$	$1$		$11$	$258048$	$0.764262$	$314432/675$	$1.11492$	$2.58829$	$[0, 0, 0, 663, 10816]$	$y^2=x^3+663x+10816$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(0, 104), (-4, 90)]$
243360.fd2	243360fd1	243360.fd	243360fd	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$258048$	$0.764262$	$314432/675$	$1.11492$	$2.58829$	$[0, 0, 0, 663, -10816]$	$y^2=x^3+663x-10816$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
405600.q2	405600q1	405600.q	405600q	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 13^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$9.842150036$	$1$		$1$	$10063872$	$2.302151$	$314432/675$	$1.11492$	$3.91504$	$[0, -1, 0, 311242, -110116488]$	$y^2=x^3-x^2+311242x-110116488$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(7411/5, 355984/5)]$
405600.dg2	405600dg1	405600.dg	405600dg	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$8.294712333$	$1$		$11$	$774144$	$1.019676$	$314432/675$	$1.11492$	$2.72325$	$[0, -1, 0, 1842, -50688]$	$y^2=x^3-x^2+1842x-50688$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(32, 200), (382, 7500)]$
405600.ea2	405600ea1	405600.ea	405600ea	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.524027006$	$1$		$3$	$774144$	$1.019676$	$314432/675$	$1.11492$	$2.72325$	$[0, 1, 0, 1842, 50688]$	$y^2=x^3+x^2+1842x+50688$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(18, 300)]$
405600.gp2	405600gp1	405600.gp	405600gp	$2$	$2$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 13^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$10063872$	$2.302151$	$314432/675$	$1.11492$	$3.91504$	$[0, 1, 0, 311242, 110116488]$	$y^2=x^3+x^2+311242x+110116488$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
486720.m2	486720m1	486720.m	486720m	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.432994921$	$1$		$21$	$1032192$	$1.110836$	$314432/675$	$1.11492$	$2.76887$	$[0, 0, 0, 2652, 86528]$	$y^2=x^3+2652x+86528$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(13, 351), (-14, 216)]$
486720.ib2	486720ib1	486720.ib	486720ib	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$1032192$	$1.110836$	$314432/675$	$1.11492$	$2.76887$	$[0, 0, 0, 2652, -86528]$	$y^2=x^3+2652x-86528$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[]$
486720.ix2	486720ix1	486720.ix	486720ix	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$7.939455566$	$1$		$1$	$13418496$	$2.393311$	$314432/675$	$1.11492$	$3.94407$	$[0, 0, 0, 448188, -190102016]$	$y^2=x^3+448188x-190102016$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(8332/3, 861580/3)]$
486720.qm2	486720qm1	486720.qm	486720qm	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.927430423$	$1$		$3$	$13418496$	$2.393311$	$314432/675$	$1.11492$	$3.94407$	$[0, 0, 0, 448188, 190102016]$	$y^2=x^3+448188x+190102016$	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(5542, 415800)]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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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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