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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	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
3381.a1	3381f1	3381.a	3381f	$1$	$1$	$ 3 \cdot 7^{2} \cdot 23 $	$ - 3 \cdot 7^{2} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$0.211519757$	$1$	$6$	$576$	$-0.088861$	$-105484561/36501$	$0.86679$	$2.81009$	$[1, 1, 1, -36, 90]$	$y^2+xy+y=x^3+x^2-36x+90$	276.2.0.?	$[(-6, 14)]$
3381.d1	3381k1	3381.d	3381k	$1$	$1$	$ 3 \cdot 7^{2} \cdot 23 $	$ - 3 \cdot 7^{8} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$2.615507044$	$1$	$2$	$4032$	$0.884094$	$-105484561/36501$	$0.86679$	$4.24691$	$[1, 0, 0, -1765, -36226]$	$y^2+xy=x^3-1765x-36226$	276.2.0.?	$[(85, 613)]$
10143.n1	10143h1	10143.n	10143h	$1$	$1$	$ 3^{2} \cdot 7^{2} \cdot 23 $	$ - 3^{7} \cdot 7^{8} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$32256$	$1.433401$	$-105484561/36501$	$0.86679$	$4.45570$	$[1, -1, 0, -15885, 978102]$	$y^2+xy=x^3-x^2-15885x+978102$	276.2.0.?	$[]$
10143.o1	10143n1	10143.o	10143n	$1$	$1$	$ 3^{2} \cdot 7^{2} \cdot 23 $	$ - 3^{7} \cdot 7^{2} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$4.957221055$	$1$	$2$	$4608$	$0.460446$	$-105484561/36501$	$0.86679$	$3.19000$	$[1, -1, 0, -324, -2759]$	$y^2+xy=x^3-x^2-324x-2759$	276.2.0.?	$[(416, 8261)]$
54096.bd1	54096z1	54096.bd	54096z	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 3 \cdot 7^{8} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$258048$	$1.577242$	$-105484561/36501$	$0.86679$	$3.92969$	$[0, -1, 0, -28240, 2318464]$	$y^2=x^3-x^2-28240x+2318464$	276.2.0.?	$[]$
54096.ce1	54096cr1	54096.ce	54096cr	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 3 \cdot 7^{2} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$36864$	$0.604287$	$-105484561/36501$	$0.86679$	$2.85841$	$[0, 1, 0, -576, -6924]$	$y^2=x^3+x^2-576x-6924$	276.2.0.?	$[]$
77763.h1	77763k1	77763.h	77763k	$1$	$1$	$ 3 \cdot 7^{2} \cdot 23^{2} $	$ - 3 \cdot 7^{2} \cdot 23^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$5.562702073$	$1$	$2$	$304128$	$1.478888$	$-105484561/36501$	$0.86679$	$3.69825$	$[1, 1, 1, -19055, -1287742]$	$y^2+xy+y=x^3+x^2-19055x-1287742$	276.2.0.?	$[(176, 833)]$
77763.j1	77763y1	77763.j	77763y	$1$	$1$	$ 3 \cdot 7^{2} \cdot 23^{2} $	$ - 3 \cdot 7^{8} \cdot 23^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$4.675701578$	$1$	$2$	$2128896$	$2.451843$	$-105484561/36501$	$0.86679$	$4.73502$	$[1, 0, 0, -933696, 438894357]$	$y^2+xy=x^3-933696x+438894357$	276.2.0.?	$[(1229, 33269)]$
84525.ch1	84525d1	84525.ch	84525d	$1$	$1$	$ 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 3 \cdot 5^{6} \cdot 7^{8} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$7.187142276$	$1$	$0$	$564480$	$1.688814$	$-105484561/36501$	$0.86679$	$3.89312$	$[1, 1, 0, -44125, -4528250]$	$y^2+xy=x^3+x^2-44125x-4528250$	276.2.0.?	$[(14514/5, 1574002/5)]$
84525.cv1	84525bx1	84525.cv	84525bx	$1$	$1$	$ 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 3 \cdot 5^{6} \cdot 7^{2} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$9.107279038$	$1$	$0$	$80640$	$0.715858$	$-105484561/36501$	$0.86679$	$2.86398$	$[1, 0, 1, -901, 13073]$	$y^2+xy+y=x^3-901x+13073$	276.2.0.?	$[(-5853/13, 157669/13)]$
162288.ck1	162288bb1	162288.ck	162288bb	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{7} \cdot 7^{8} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$2064384$	$2.126549$	$-105484561/36501$	$0.86679$	$4.11928$	$[0, 0, 0, -254163, -62344366]$	$y^2=x^3-254163x-62344366$	276.2.0.?	$[]$
162288.ee1	162288ca1	162288.ee	162288ca	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$0.305103519$	$1$	$6$	$294912$	$1.153593$	$-105484561/36501$	$0.86679$	$3.14609$	$[0, 0, 0, -5187, 181762]$	$y^2=x^3-5187x+181762$	276.2.0.?	$[(71, 414)]$
216384.bl1	216384hr1	216384.bl	216384hr	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{18} \cdot 3 \cdot 7^{8} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$2064384$	$1.923815$	$-105484561/36501$	$0.86679$	$3.82478$	$[0, -1, 0, -112961, -18434751]$	$y^2=x^3-x^2-112961x-18434751$	276.2.0.?	$[]$
216384.db1	216384dx1	216384.db	216384dx	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{18} \cdot 3 \cdot 7^{2} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$5.919420166$	$1$	$2$	$294912$	$0.950860$	$-105484561/36501$	$0.86679$	$2.87438$	$[0, -1, 0, -2305, -53087]$	$y^2=x^3-x^2-2305x-53087$	276.2.0.?	$[(2949, 160096)]$
216384.fy1	216384t1	216384.fy	216384t	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{18} \cdot 3 \cdot 7^{8} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1.335870030$	$1$	$2$	$2064384$	$1.923815$	$-105484561/36501$	$0.86679$	$3.82478$	$[0, 1, 0, -112961, 18434751]$	$y^2=x^3+x^2-112961x+18434751$	276.2.0.?	$[(-33, 4704)]$
216384.hp1	216384gc1	216384.hp	216384gc	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{18} \cdot 3 \cdot 7^{2} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$294912$	$0.950860$	$-105484561/36501$	$0.86679$	$2.87438$	$[0, 1, 0, -2305, 53087]$	$y^2=x^3+x^2-2305x+53087$	276.2.0.?	$[]$
233289.bm1	233289bm1	233289.bm	233289bm	$1$	$1$	$ 3^{2} \cdot 7^{2} \cdot 23^{2} $	$ - 3^{7} \cdot 7^{2} \cdot 23^{9} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$5.725538601$	$1$	$2$	$2433024$	$2.028194$	$-105484561/36501$	$0.86679$	$3.90284$	$[1, -1, 0, -171495, 34597534]$	$y^2+xy=x^3-x^2-171495x+34597534$	276.2.0.?	$[(374, 4574), (19091/2, 2608981/2)]$
233289.bp1	233289bp1	233289.bp	233289bp	$1$	$1$	$ 3^{2} \cdot 7^{2} \cdot 23^{2} $	$ - 3^{7} \cdot 7^{8} \cdot 23^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$5.181644158$	$1$	$0$	$17031168$	$3.001148$	$-105484561/36501$	$0.86679$	$4.84746$	$[1, -1, 0, -8403264, -11850147639]$	$y^2+xy=x^3-x^2-8403264x-11850147639$	276.2.0.?	$[(1515000/11, 1799890539/11)]$
253575.bs1	253575bs1	253575.bs	253575bs	$1$	$1$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$0.586706874$	$1$	$6$	$4515840$	$2.238121$	$-105484561/36501$	$0.86679$	$4.07914$	$[1, -1, 1, -397130, 121865622]$	$y^2+xy+y=x^3-x^2-397130x+121865622$	276.2.0.?	$[(380, 4881)]$
253575.bz1	253575bz1	253575.bz	253575bz	$1$	$1$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$645120$	$1.265165$	$-105484561/36501$	$0.86679$	$3.14085$	$[1, -1, 1, -8105, -352978]$	$y^2+xy+y=x^3-x^2-8105x-352978$	276.2.0.?	$[]$
409101.bk1	409101bk1	409101.bk	409101bk	$1$	$1$	$ 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 $	$ - 3 \cdot 7^{2} \cdot 11^{6} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$806400$	$1.110086$	$-105484561/36501$	$0.86679$	$2.88058$	$[1, 1, 0, -4358, -141819]$	$y^2+xy=x^3+x^2-4358x-141819$	276.2.0.?	$[]$
409101.bv1	409101bv1	409101.bv	409101bv	$1$	$1$	$ 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 $	$ - 3 \cdot 7^{8} \cdot 11^{6} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$276$	$2$	$0$	$1$	$1$	$0$	$5644800$	$2.083042$	$-105484561/36501$	$0.86679$	$3.78413$	$[1, 0, 1, -213568, 48003239]$	$y^2+xy+y=x^3-213568x+48003239$	276.2.0.?	$[]$

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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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