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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	Manin constant

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Results (25 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	Semistable	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
874.c1	874a1	874.c	874a	$1$	$1$	$ 2 \cdot 19 \cdot 23 $	$ 2 \cdot 19^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3496$	$2$	$0$	$1$	$1$	$0$	$144$	$-0.246942$	$781229961/315514$	$0.86151$	$3.02320$	$[1, -1, 0, -19, -13]$	$y^2+xy=x^3-x^2-19x-13$	3496.2.0.?	$[ ]$
6992.b1	6992t1	6992.b	6992t	$1$	$1$	$ 2^{4} \cdot 19 \cdot 23 $	$ 2^{13} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$0.289782200$	$1$	$6$	$3456$	$0.446205$	$781229961/315514$	$0.86151$	$3.25265$	$[0, 0, 0, -307, 1138]$	$y^2=x^3-307x+1138$	3496.2.0.?	$[(-1, 38)]$
7866.p1	7866q1	7866.p	7866q	$1$	$1$	$ 2 \cdot 3^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 3^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$3.902773750$	$1$	$0$	$2016$	$0.302364$	$781229961/315514$	$0.86151$	$3.01752$	$[1, -1, 1, -173, 523]$	$y^2+xy+y=x^3-x^2-173x+523$	3496.2.0.?	$[(11/2, 49/2)]$
16606.k1	16606s1	16606.k	16606s	$1$	$1$	$ 2 \cdot 19^{2} \cdot 23 $	$ 2 \cdot 19^{9} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$51840$	$1.225277$	$781229961/315514$	$0.86151$	$3.92518$	$[1, -1, 1, -6927, 123693]$	$y^2+xy+y=x^3-x^2-6927x+123693$	3496.2.0.?	$[ ]$
20102.n1	20102m1	20102.n	20102m	$1$	$1$	$ 2 \cdot 19 \cdot 23^{2} $	$ 2 \cdot 19^{3} \cdot 23^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1.656202288$	$1$	$0$	$76032$	$1.320805$	$781229961/315514$	$0.86151$	$3.96519$	$[1, -1, 0, -10150, 218882]$	$y^2+xy=x^3-x^2-10150x+218882$	3496.2.0.?	$[(169/3, 4772/3)]$
21850.e1	21850f1	21850.e	21850f	$1$	$1$	$ 2 \cdot 5^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 5^{6} \cdot 19^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$20160$	$0.557776$	$781229961/315514$	$0.86151$	$3.01573$	$[1, -1, 1, -480, -2103]$	$y^2+xy+y=x^3-x^2-480x-2103$	3496.2.0.?	$[ ]$
27968.c1	27968w1	27968.c	27968w	$1$	$1$	$ 2^{6} \cdot 19 \cdot 23 $	$ 2^{19} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$0.351205780$	$1$	$6$	$27648$	$0.792779$	$781229961/315514$	$0.86151$	$3.21844$	$[0, 0, 0, -1228, -9104]$	$y^2=x^3-1228x-9104$	3496.2.0.?	$[(78, 608)]$
27968.bz1	27968bh1	27968.bz	27968bh	$1$	$1$	$ 2^{6} \cdot 19 \cdot 23 $	$ 2^{19} \cdot 19^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$27648$	$0.792779$	$781229961/315514$	$0.86151$	$3.21844$	$[0, 0, 0, -1228, 9104]$	$y^2=x^3-1228x+9104$	3496.2.0.?	$[ ]$
42826.a1	42826l1	42826.a	42826l	$1$	$1$	$ 2 \cdot 7^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 7^{6} \cdot 19^{3} \cdot 23 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$0.662088391$	$1$	$14$	$51840$	$0.726013$	$781229961/315514$	$0.86151$	$3.01473$	$[1, -1, 0, -940, 6334]$	$y^2+xy=x^3-x^2-940x+6334$	3496.2.0.?	$[(65, 433), (-11, 129)]$
62928.k1	62928bm1	62928.k	62928bm	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 19 \cdot 23 $	$ 2^{13} \cdot 3^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$0.502279573$	$1$	$4$	$48384$	$0.995511$	$781229961/315514$	$0.86151$	$3.20241$	$[0, 0, 0, -2763, -30726]$	$y^2=x^3-2763x-30726$	3496.2.0.?	$[(-35, 152)]$
105754.y1	105754w1	105754.y	105754w	$1$	$1$	$ 2 \cdot 11^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 11^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$8.098230374$	$1$	$0$	$205920$	$0.952005$	$781229961/315514$	$0.86151$	$3.01358$	$[1, -1, 1, -2322, 24247]$	$y^2+xy+y=x^3-x^2-2322x+24247$	3496.2.0.?	$[(-13445/18, 1393597/18)]$
132848.br1	132848bb1	132848.br	132848bb	$1$	$1$	$ 2^{4} \cdot 19^{2} \cdot 23 $	$ 2^{13} \cdot 19^{9} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$6.829465277$	$1$	$0$	$1244160$	$1.918425$	$781229961/315514$	$0.86151$	$3.93837$	$[0, 0, 0, -110827, -7805542]$	$y^2=x^3-110827x-7805542$	3496.2.0.?	$[(-62339/15, 4311784/15)]$
147706.z1	147706l1	147706.z	147706l	$1$	$1$	$ 2 \cdot 13^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 13^{6} \cdot 19^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$331776$	$1.035532$	$781229961/315514$	$0.86151$	$3.01320$	$[1, -1, 1, -3243, -38255]$	$y^2+xy+y=x^3-x^2-3243x-38255$	3496.2.0.?	$[ ]$
149454.n1	149454bv1	149454.n	149454bv	$1$	$1$	$ 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 $	$ 2 \cdot 3^{6} \cdot 19^{9} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$4.069733237$	$1$	$0$	$725760$	$1.774584$	$781229961/315514$	$0.86151$	$3.75457$	$[1, -1, 0, -62340, -3277378]$	$y^2+xy=x^3-x^2-62340x-3277378$	3496.2.0.?	$[(-7781/6, 78215/6)]$
160816.b1	160816b1	160816.b	160816b	$1$	$1$	$ 2^{4} \cdot 19 \cdot 23^{2} $	$ 2^{13} \cdot 19^{3} \cdot 23^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1.502368188$	$1$	$4$	$1824768$	$2.013950$	$781229961/315514$	$0.86151$	$3.97123$	$[0, 0, 0, -162403, -13846046]$	$y^2=x^3-162403x-13846046$	3496.2.0.?	$[(-345, 1058)]$
174800.bz1	174800bk1	174800.bz	174800bk	$1$	$1$	$ 2^{4} \cdot 5^{2} \cdot 19 \cdot 23 $	$ 2^{13} \cdot 5^{6} \cdot 19^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$483840$	$1.250923$	$781229961/315514$	$0.86151$	$3.18528$	$[0, 0, 0, -7675, 142250]$	$y^2=x^3-7675x+142250$	3496.2.0.?	$[ ]$
180918.br1	180918q1	180918.br	180918q	$1$	$1$	$ 2 \cdot 3^{2} \cdot 19 \cdot 23^{2} $	$ 2 \cdot 3^{6} \cdot 19^{3} \cdot 23^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$3.332502002$	$1$	$0$	$1064448$	$1.870111$	$781229961/315514$	$0.86151$	$3.79000$	$[1, -1, 1, -91352, -5818463]$	$y^2+xy+y=x^3-x^2-91352x-5818463$	3496.2.0.?	$[(-2429/6, 47383/6)]$
196650.k1	196650cr1	196650.k	196650cr	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 3^{6} \cdot 5^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$7.474376022$	$1$	$0$	$282240$	$1.107082$	$781229961/315514$	$0.86151$	$3.01289$	$[1, -1, 0, -4317, 61091]$	$y^2+xy=x^3-x^2-4317x+61091$	3496.2.0.?	$[(-49/5, 33086/5)]$
251712.de1	251712de1	251712.de	251712de	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 $	$ 2^{19} \cdot 3^{6} \cdot 19^{3} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$387072$	$1.342085$	$781229961/315514$	$0.86151$	$3.17985$	$[0, 0, 0, -11052, -245808]$	$y^2=x^3-11052x-245808$	3496.2.0.?	$[ ]$
251712.dn1	251712dn1	251712.dn	251712dn	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 $	$ 2^{19} \cdot 3^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$2.674400417$	$1$	$2$	$387072$	$1.342085$	$781229961/315514$	$0.86151$	$3.17985$	$[0, 0, 0, -11052, 245808]$	$y^2=x^3-11052x+245808$	3496.2.0.?	$[(13, 323)]$
252586.a1	252586a1	252586.a	252586a	$1$	$1$	$ 2 \cdot 17^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 17^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1.418957021$	$1$	$4$	$709632$	$1.169664$	$781229961/315514$	$0.86151$	$3.01263$	$[1, -1, 0, -5545, -85973]$	$y^2+xy=x^3-x^2-5545x-85973$	3496.2.0.?	$[(-21, 155)]$
342608.ci1	342608ci1	342608.ci	342608ci	$1$	$1$	$ 2^{4} \cdot 7^{2} \cdot 19 \cdot 23 $	$ 2^{13} \cdot 7^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$8.215309872$	$1$	$0$	$1244160$	$1.419161$	$781229961/315514$	$0.86151$	$3.17550$	$[0, 0, 0, -15043, -390334]$	$y^2=x^3-15043x-390334$	3496.2.0.?	$[(46543/9, 9799118/9)]$
381938.x1	381938x1	381938.x	381938x	$1$	$1$	$ 2 \cdot 19^{2} \cdot 23^{2} $	$ 2 \cdot 19^{9} \cdot 23^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$27371520$	$2.793026$	$781229961/315514$	$0.86151$	$4.43133$	$[1, -1, 1, -3664218, -1482990657]$	$y^2+xy+y=x^3-x^2-3664218x-1482990657$	3496.2.0.?	$[ ]$
385434.ey1	385434ey1	385434.ey	385434ey	$1$	$1$	$ 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 $	$ 2 \cdot 3^{6} \cdot 7^{6} \cdot 19^{3} \cdot 23 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$5.443035199$	$1$	$0$	$725760$	$1.275320$	$781229961/315514$	$0.86151$	$3.01222$	$[1, -1, 1, -8462, -162557]$	$y^2+xy+y=x^3-x^2-8462x-162557$	3496.2.0.?	$[(11327/2, 1193383/2)]$
415150.t1	415150t1	415150.t	415150t	$1$	$1$	$ 2 \cdot 5^{2} \cdot 19^{2} \cdot 23 $	$ 2 \cdot 5^{6} \cdot 19^{9} \cdot 23 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$3496$	$2$	$0$	$1$	$1$	$0$	$7257600$	$2.029995$	$781229961/315514$	$0.86151$	$3.69497$	$[1, -1, 0, -173167, 15288491]$	$y^2+xy=x^3-x^2-173167x+15288491$	3496.2.0.?	$[ ]$

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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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