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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 (24 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
1720.a1	1720a1	1720.a	1720a	$1$	$1$	$ 2^{3} \cdot 5 \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1.730446728$	$1$	$2$	$224$	$-0.238173$	$-2/215$	$0.91713$	$2.74493$	$[0, 1, 0, 0, -32]$	$y^2=x^3+x^2-32$	1720.2.0.?	$[(3, 2)]$
3440.e1	3440a1	3440.e	3440a	$1$	$1$	$ 2^{4} \cdot 5 \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$0.973376417$	$1$	$2$	$448$	$-0.238173$	$-2/215$	$0.91713$	$2.51129$	$[0, -1, 0, 0, 32]$	$y^2=x^3-x^2+32$	1720.2.0.?	$[(2, 6)]$
8600.g1	8600b1	8600.g	8600b	$1$	$1$	$ 2^{3} \cdot 5^{2} \cdot 43 $	$ - 2^{11} \cdot 5^{7} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$5376$	$0.566545$	$-2/215$	$0.91713$	$3.32320$	$[0, -1, 0, -8, -3988]$	$y^2=x^3-x^2-8x-3988$	1720.2.0.?	$[]$
13760.a1	13760m1	13760.a	13760m	$1$	$1$	$ 2^{6} \cdot 5 \cdot 43 $	$ - 2^{17} \cdot 5 \cdot 43 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$0.649617434$	$1$	$14$	$3584$	$0.108400$	$-2/215$	$0.91713$	$2.58238$	$[0, 1, 0, -1, 255]$	$y^2=x^3+x^2-x+255$	1720.2.0.?	$[(-1, 16), (31, 176)]$
13760.q1	13760d1	13760.q	13760d	$1$	$1$	$ 2^{6} \cdot 5 \cdot 43 $	$ - 2^{17} \cdot 5 \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$3584$	$0.108400$	$-2/215$	$0.91713$	$2.58238$	$[0, -1, 0, -1, -255]$	$y^2=x^3-x^2-x-255$	1720.2.0.?	$[]$
15480.e1	15480c1	15480.e	15480c	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 $	$ - 2^{11} \cdot 3^{6} \cdot 5 \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$5376$	$0.311132$	$-2/215$	$0.91713$	$2.80303$	$[0, 0, 0, -3, 862]$	$y^2=x^3-3x+862$	1720.2.0.?	$[]$
17200.k1	17200b1	17200.k	17200b	$1$	$1$	$ 2^{4} \cdot 5^{2} \cdot 43 $	$ - 2^{11} \cdot 5^{7} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$0.245307429$	$1$	$6$	$10752$	$0.566545$	$-2/215$	$0.91713$	$3.08701$	$[0, 1, 0, -8, 3988]$	$y^2=x^3+x^2-8x+3988$	1720.2.0.?	$[(18, 100)]$
30960.e1	30960f1	30960.e	30960f	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 $	$ - 2^{11} \cdot 3^{6} \cdot 5 \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$0.672498864$	$1$	$4$	$10752$	$0.311132$	$-2/215$	$0.91713$	$2.61513$	$[0, 0, 0, -3, -862]$	$y^2=x^3-3x-862$	1720.2.0.?	$[(13, 36)]$
68800.p1	68800r1	68800.p	68800r	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 43 $	$ - 2^{17} \cdot 5^{7} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$2.250740121$	$1$	$2$	$86016$	$0.913119$	$-2/215$	$0.91713$	$3.07618$	$[0, 1, 0, -33, -31937]$	$y^2=x^3+x^2-33x-31937$	1720.2.0.?	$[(73, 600)]$
68800.dw1	68800dl1	68800.dw	68800dl	$1$	$1$	$ 2^{6} \cdot 5^{2} \cdot 43 $	$ - 2^{17} \cdot 5^{7} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$3.541292566$	$1$	$2$	$86016$	$0.913119$	$-2/215$	$0.91713$	$3.07618$	$[0, -1, 0, -33, 31937]$	$y^2=x^3-x^2-33x+31937$	1720.2.0.?	$[(152, 1875)]$
73960.b1	73960a1	73960.b	73960a	$1$	$1$	$ 2^{3} \cdot 5 \cdot 43^{2} $	$ - 2^{11} \cdot 5 \cdot 43^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$413952$	$1.642427$	$-2/215$	$0.91713$	$3.83696$	$[0, -1, 0, -616, 2538540]$	$y^2=x^3-x^2-616x+2538540$	1720.2.0.?	$[]$
77400.i1	77400bp1	77400.i	77400bp	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 $	$ - 2^{11} \cdot 3^{6} \cdot 5^{7} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$129024$	$1.115852$	$-2/215$	$0.91713$	$3.26012$	$[0, 0, 0, -75, 107750]$	$y^2=x^3-75x+107750$	1720.2.0.?	$[]$
84280.s1	84280o1	84280.s	84280o	$1$	$1$	$ 2^{3} \cdot 5 \cdot 7^{2} \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 7^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$9.739978040$	$1$	$0$	$73920$	$0.734781$	$-2/215$	$0.91713$	$2.83246$	$[0, -1, 0, -16, 10956]$	$y^2=x^3-x^2-16x+10956$	1720.2.0.?	$[(10353/19, 1250934/19)]$
123840.eb1	123840ga1	123840.eb	123840ga	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 $	$ - 2^{17} \cdot 3^{6} \cdot 5 \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$86016$	$0.657706$	$-2/215$	$0.91713$	$2.66063$	$[0, 0, 0, -12, -6896]$	$y^2=x^3-12x-6896$	1720.2.0.?	$[]$
123840.gc1	123840dg1	123840.gc	123840dg	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 $	$ - 2^{17} \cdot 3^{6} \cdot 5 \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$86016$	$0.657706$	$-2/215$	$0.91713$	$2.66063$	$[0, 0, 0, -12, 6896]$	$y^2=x^3-12x+6896$	1720.2.0.?	$[]$
147920.c1	147920q1	147920.c	147920q	$1$	$1$	$ 2^{4} \cdot 5 \cdot 43^{2} $	$ - 2^{11} \cdot 5 \cdot 43^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$827904$	$1.642427$	$-2/215$	$0.91713$	$3.61355$	$[0, 1, 0, -616, -2538540]$	$y^2=x^3+x^2-616x-2538540$	1720.2.0.?	$[]$
154800.fn1	154800gd1	154800.fn	154800gd	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 $	$ - 2^{11} \cdot 3^{6} \cdot 5^{7} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$258048$	$1.115852$	$-2/215$	$0.91713$	$3.07101$	$[0, 0, 0, -75, -107750]$	$y^2=x^3-75x-107750$	1720.2.0.?	$[]$
168560.e1	168560bq1	168560.e	168560bq	$1$	$1$	$ 2^{4} \cdot 5 \cdot 7^{2} \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 7^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$4.295040391$	$1$	$2$	$147840$	$0.734781$	$-2/215$	$0.91713$	$2.66932$	$[0, 1, 0, -16, -10956]$	$y^2=x^3+x^2-16x-10956$	1720.2.0.?	$[(132, 1518)]$
208120.d1	208120g1	208120.d	208120g	$1$	$1$	$ 2^{3} \cdot 5 \cdot 11^{2} \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 11^{6} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$313600$	$0.960774$	$-2/215$	$0.91713$	$2.84482$	$[0, 1, 0, -40, 42480]$	$y^2=x^3+x^2-40x+42480$	1720.2.0.?	$[]$
290680.c1	290680c1	290680.c	290680c	$1$	$1$	$ 2^{3} \cdot 5 \cdot 13^{2} \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 13^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$8.473210066$	$1$	$2$	$524160$	$1.044302$	$-2/215$	$0.91713$	$2.84895$	$[0, 1, 0, -56, -70160]$	$y^2=x^3+x^2-56x-70160$	1720.2.0.?	$[(4759, 328336)]$
369800.f1	369800f1	369800.f	369800f	$1$	$1$	$ 2^{3} \cdot 5^{2} \cdot 43^{2} $	$ - 2^{11} \cdot 5^{7} \cdot 43^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$10.45634167$	$1$	$0$	$9934848$	$2.447147$	$-2/215$	$0.91713$	$4.10849$	$[0, 1, 0, -15408, 317286688]$	$y^2=x^3+x^2-15408x+317286688$	1720.2.0.?	$[(612747/83, 10174399850/83)]$
416240.cj1	416240cj1	416240.cj	416240cj	$1$	$1$	$ 2^{4} \cdot 5 \cdot 11^{2} \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 11^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$5.356239063$	$1$	$0$	$627200$	$0.960774$	$-2/215$	$0.91713$	$2.69243$	$[0, -1, 0, -40, -42480]$	$y^2=x^3-x^2-40x-42480$	1720.2.0.?	$[(7648/3, 668404/3)]$
421400.f1	421400f1	421400.f	421400f	$1$	$1$	$ 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ - 2^{11} \cdot 5^{7} \cdot 7^{6} \cdot 43 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$3.594808224$	$1$	$2$	$1774080$	$1.539501$	$-2/215$	$0.91713$	$3.22608$	$[0, 1, 0, -408, 1368688]$	$y^2=x^3+x^2-408x+1368688$	1720.2.0.?	$[(-57, 1100)]$
497080.l1	497080l1	497080.l	497080l	$1$	$1$	$ 2^{3} \cdot 5 \cdot 17^{2} \cdot 43 $	$ - 2^{11} \cdot 5 \cdot 17^{6} \cdot 43 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$1720$	$2$	$0$	$1$	$1$	$0$	$1032192$	$1.178432$	$-2/215$	$0.91713$	$2.85512$	$[0, -1, 0, -96, -156820]$	$y^2=x^3-x^2-96x-156820$	1720.2.0.?	$[]$

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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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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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