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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

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Results (21 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
3864.c1	3864c1	3864.c	3864c	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 7 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$0.097771173$	$1$	$10$	$1120$	$0.205352$	$128000/352107$	$[0, 1, 0, 7, 459]$	$y^2=x^3+x^2+7x+459$	966.2.0.?
7728.f1	7728d1	7728.f	7728d	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 7 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$2240$	$0.205352$	$128000/352107$	$[0, -1, 0, 7, -459]$	$y^2=x^3-x^2+7x-459$	966.2.0.?
11592.k1	11592j1	11592.k	11592j	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{13} \cdot 7 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1.023028391$	$1$	$2$	$8960$	$0.754659$	$128000/352107$	$[0, 0, 0, 60, -12332]$	$y^2=x^3+60x-12332$	966.2.0.?
23184.bg1	23184n1	23184.bg	23184n	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{13} \cdot 7 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$17920$	$0.754659$	$128000/352107$	$[0, 0, 0, 60, 12332]$	$y^2=x^3+60x+12332$	966.2.0.?
27048.e1	27048c1	27048.e	27048c	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 7^{7} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1.791197141$	$1$	$2$	$53760$	$1.178307$	$128000/352107$	$[0, -1, 0, 327, -156771]$	$y^2=x^3-x^2+327x-156771$	966.2.0.?
30912.n1	30912c1	30912.n	30912c	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7 \cdot 23 $	$ - 2^{14} \cdot 3^{7} \cdot 7 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$17920$	$0.551926$	$128000/352107$	$[0, -1, 0, 27, 3645]$	$y^2=x^3-x^2+27x+3645$	966.2.0.?
30912.bz1	30912cf1	30912.bz	30912cf	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7 \cdot 23 $	$ - 2^{14} \cdot 3^{7} \cdot 7 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$17920$	$0.551926$	$128000/352107$	$[0, 1, 0, 27, -3645]$	$y^2=x^3+x^2+27x-3645$	966.2.0.?
54096.cp1	54096n1	54096.cp	54096n	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 7^{7} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$0.516945496$	$1$	$2$	$107520$	$1.178307$	$128000/352107$	$[0, 1, 0, 327, 156771]$	$y^2=x^3+x^2+327x+156771$	966.2.0.?
81144.bb1	81144bl1	81144.bb	81144bl	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{13} \cdot 7^{7} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$430080$	$1.727613$	$128000/352107$	$[0, 0, 0, 2940, 4229876]$	$y^2=x^3+2940x+4229876$	966.2.0.?
88872.v1	88872o1	88872.v	88872o	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{7} \cdot 7 \cdot 23^{7} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$0.642403209$	$1$	$16$	$591360$	$1.773100$	$128000/352107$	$[0, 1, 0, 3527, -5555989]$	$y^2=x^3+x^2+3527x-5555989$	966.2.0.?
92736.cs1	92736y1	92736.cs	92736y	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 $	$ - 2^{14} \cdot 3^{13} \cdot 7 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$143360$	$1.101233$	$128000/352107$	$[0, 0, 0, 240, -98656]$	$y^2=x^3+240x-98656$	966.2.0.?
92736.de1	92736ff1	92736.de	92736ff	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 $	$ - 2^{14} \cdot 3^{13} \cdot 7 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$3.270627679$	$1$	$0$	$143360$	$1.101233$	$128000/352107$	$[0, 0, 0, 240, 98656]$	$y^2=x^3+240x+98656$	966.2.0.?
96600.bf1	96600bo1	96600.bf	96600bo	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 7 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$2.446116214$	$1$	$2$	$161280$	$1.010071$	$128000/352107$	$[0, -1, 0, 167, 57037]$	$y^2=x^3-x^2+167x+57037$	966.2.0.?
162288.dm1	162288fg1	162288.dm	162288fg	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{13} \cdot 7^{7} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$860160$	$1.727613$	$128000/352107$	$[0, 0, 0, 2940, -4229876]$	$y^2=x^3+2940x-4229876$	966.2.0.?
177744.w1	177744de1	177744.w	177744de	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{7} \cdot 7 \cdot 23^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$1182720$	$1.773100$	$128000/352107$	$[0, -1, 0, 3527, 5555989]$	$y^2=x^3-x^2+3527x+5555989$	966.2.0.?
193200.ei1	193200ga1	193200.ei	193200ga	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 7 \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1.648440275$	$1$	$2$	$322560$	$1.010071$	$128000/352107$	$[0, 1, 0, 167, -57037]$	$y^2=x^3+x^2+167x-57037$	966.2.0.?
216384.ch1	216384dm1	216384.ch	216384dm	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{7} \cdot 7^{7} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$2.714058576$	$1$	$2$	$860160$	$1.524881$	$128000/352107$	$[0, -1, 0, 1307, 1252861]$	$y^2=x^3-x^2+1307x+1252861$	966.2.0.?
216384.gs1	216384fu1	216384.gs	216384fu	$1$	$1$	$ 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{7} \cdot 7^{7} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$860160$	$1.524881$	$128000/352107$	$[0, 1, 0, 1307, -1252861]$	$y^2=x^3+x^2+1307x-1252861$	966.2.0.?
266616.be1	266616be1	266616.be	266616be	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 7 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{13} \cdot 7 \cdot 23^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$2.119383304$	$1$	$0$	$4730880$	$2.322407$	$128000/352107$	$[0, 0, 0, 31740, 150043444]$	$y^2=x^3+31740x+150043444$	966.2.0.?
289800.dn1	289800dn1	289800.dn	289800dn	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{13} \cdot 5^{6} \cdot 7 \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$1290240$	$1.559378$	$128000/352107$	$[0, 0, 0, 1500, -1541500]$	$y^2=x^3+1500x-1541500$	966.2.0.?
467544.br1	467544br1	467544.br	467544br	$1$	$1$	$ 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{7} \cdot 7 \cdot 11^{6} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$966$	$2$	$0$	$1$	$1$	$0$	$1601600$	$1.404301$	$128000/352107$	$[0, 1, 0, 807, -607653]$	$y^2=x^3+x^2+807x-607653$	966.2.0.?

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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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