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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	Semistable	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
786.i1	786k1	786.i	786k	$1$	$1$	$ 2 \cdot 3 \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$1048$	$2$	$0$	$0.189798803$	$1$		$6$	$144$	$-0.366189$	$109902239/84888$	$0.87261$	$2.77714$	$[1, 1, 1, 10, 11]$	$y^2+xy+y=x^3+x^2+10x+11$	1048.2.0.?	$[(3, 7)]$
2358.k1	2358i1	2358.k	2358i	$1$	$1$	$ 2 \cdot 3^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{10} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$1152$	$0.183117$	$109902239/84888$	$0.87261$	$3.23309$	$[1, -1, 0, 90, -212]$	$y^2+xy=x^3-x^2+90x-212$	1048.2.0.?	$[]$
6288.h1	6288m1	6288.h	6288m	$1$	$1$	$ 2^{4} \cdot 3 \cdot 131 $	$ - 2^{15} \cdot 3^{4} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$0.221469676$	$1$		$8$	$3456$	$0.326958$	$109902239/84888$	$0.87261$	$3.06788$	$[0, 1, 0, 160, -396]$	$y^2=x^3+x^2+160x-396$	1048.2.0.?	$[(10, 48)]$
18864.bj1	18864bi1	18864.bj	18864bi	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 131 $	$ - 2^{15} \cdot 3^{10} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.876265$	$109902239/84888$	$0.87261$	$3.39507$	$[0, 0, 0, 1437, 12130]$	$y^2=x^3+1437x+12130$	1048.2.0.?	$[]$
19650.m1	19650o1	19650.m	19650o	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 5^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$0.498902891$	$1$		$4$	$11520$	$0.438530$	$109902239/84888$	$0.87261$	$2.84971$	$[1, 0, 1, 249, 898]$	$y^2+xy+y=x^3+249x+898$	1048.2.0.?	$[(2, 36)]$
25152.v1	25152bh1	25152.v	25152bh	$1$	$1$	$ 2^{6} \cdot 3 \cdot 131 $	$ - 2^{21} \cdot 3^{4} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1.978030942$	$1$		$2$	$27648$	$0.673532$	$109902239/84888$	$0.87261$	$3.05859$	$[0, -1, 0, 639, -3807]$	$y^2=x^3-x^2+639x-3807$	1048.2.0.?	$[(27, 180)]$
25152.br1	25152m1	25152.br	25152m	$1$	$1$	$ 2^{6} \cdot 3 \cdot 131 $	$ - 2^{21} \cdot 3^{4} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.673532$	$109902239/84888$	$0.87261$	$3.05859$	$[0, 1, 0, 639, 3807]$	$y^2=x^3+x^2+639x+3807$	1048.2.0.?	$[]$
38514.bh1	38514bf1	38514.bh	38514bf	$1$	$1$	$ 2 \cdot 3 \cdot 7^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 7^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$47520$	$0.606766$	$109902239/84888$	$0.87261$	$2.85929$	$[1, 0, 0, 489, -2367]$	$y^2+xy=x^3+489x-2367$	1048.2.0.?	$[]$
58950.bk1	58950bt1	58950.bk	58950bt	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{10} \cdot 5^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1.415666456$	$1$		$2$	$92160$	$0.987836$	$109902239/84888$	$0.87261$	$3.16478$	$[1, -1, 1, 2245, -24253]$	$y^2+xy+y=x^3-x^2+2245x-24253$	1048.2.0.?	$[(69, 640)]$
75456.a1	75456cy1	75456.a	75456cy	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 131 $	$ - 2^{21} \cdot 3^{10} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$0.935988792$	$1$		$4$	$221184$	$1.222837$	$109902239/84888$	$0.87261$	$3.34631$	$[0, 0, 0, 5748, 97040]$	$y^2=x^3+5748x+97040$	1048.2.0.?	$[(34, 576)]$
75456.b1	75456bl1	75456.b	75456bl	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 131 $	$ - 2^{21} \cdot 3^{10} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1.901502456$	$1$		$2$	$221184$	$1.222837$	$109902239/84888$	$0.87261$	$3.34631$	$[0, 0, 0, 5748, -97040]$	$y^2=x^3+5748x-97040$	1048.2.0.?	$[(30, 320)]$
95106.a1	95106b1	95106.a	95106b	$1$	$1$	$ 2 \cdot 3 \cdot 11^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 11^{6} \cdot 131 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$2.244968368$	$1$		$10$	$201600$	$0.832759$	$109902239/84888$	$0.87261$	$2.87038$	$[1, 1, 0, 1208, -8840]$	$y^2+xy=x^3+x^2+1208x-8840$	1048.2.0.?	$[(61, 514), (7, 1)]$
102966.a1	102966e1	102966.a	102966e	$1$	$1$	$ 2 \cdot 3 \cdot 131^{2} $	$ - 2^{3} \cdot 3^{4} \cdot 131^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$2471040$	$2.071411$	$109902239/84888$	$0.87261$	$4.13842$	$[1, 1, 0, 171253, -15709515]$	$y^2+xy=x^3+x^2+171253x-15709515$	1048.2.0.?	$[]$
115542.a1	115542ba1	115542.a	115542ba	$1$	$1$	$ 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{10} \cdot 7^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$380160$	$1.156073$	$109902239/84888$	$0.87261$	$3.15527$	$[1, -1, 0, 4401, 63909]$	$y^2+xy=x^3-x^2+4401x+63909$	1048.2.0.?	$[]$
132834.f1	132834be1	132834.f	132834be	$1$	$1$	$ 2 \cdot 3 \cdot 13^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 13^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$331776$	$0.916286$	$109902239/84888$	$0.87261$	$2.87405$	$[1, 1, 0, 1687, 16125]$	$y^2+xy=x^3+x^2+1687x+16125$	1048.2.0.?	$[]$
157200.bf1	157200cd1	157200.bf	157200cd	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 $	$ - 2^{15} \cdot 3^{4} \cdot 5^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.131678$	$109902239/84888$	$0.87261$	$3.04962$	$[0, -1, 0, 3992, -57488]$	$y^2=x^3-x^2+3992x-57488$	1048.2.0.?	$[]$
227154.w1	227154f1	227154.w	227154f	$1$	$1$	$ 2 \cdot 3 \cdot 17^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 17^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1.557425731$	$1$		$2$	$737280$	$1.050417$	$109902239/84888$	$0.87261$	$2.87953$	$[1, 0, 0, 2884, 34728]$	$y^2+xy=x^3+2884x+34728$	1048.2.0.?	$[(262, 4204)]$
283746.k1	283746k1	283746.k	283746k	$1$	$1$	$ 2 \cdot 3 \cdot 19^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 19^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$909792$	$1.106030$	$109902239/84888$	$0.87261$	$2.88167$	$[1, 0, 1, 3602, -47848]$	$y^2+xy+y=x^3+3602x-47848$	1048.2.0.?	$[]$
285318.bp1	285318bp1	285318.bp	285318bp	$1$	$1$	$ 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{10} \cdot 11^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$3.860211387$	$1$		$0$	$1612800$	$1.382065$	$109902239/84888$	$0.87261$	$3.14410$	$[1, -1, 1, 10867, 249549]$	$y^2+xy+y=x^3-x^2+10867x+249549$	1048.2.0.?	$[(111/2, 5935/2)]$
308112.bi1	308112bi1	308112.bi	308112bi	$1$	$1$	$ 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 $	$ - 2^{15} \cdot 3^{4} \cdot 7^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$1140480$	$1.299913$	$109902239/84888$	$0.87261$	$3.04697$	$[0, -1, 0, 7824, 151488]$	$y^2=x^3-x^2+7824x+151488$	1048.2.0.?	$[]$
308898.bw1	308898bw1	308898.bw	308898bw	$1$	$1$	$ 2 \cdot 3^{2} \cdot 131^{2} $	$ - 2^{3} \cdot 3^{10} \cdot 131^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$9$	$3$	$0$	$19768320$	$2.620716$	$109902239/84888$	$0.87261$	$4.30021$	$[1, -1, 1, 1541272, 425698179]$	$y^2+xy+y=x^3-x^2+1541272x+425698179$	1048.2.0.?	$[]$
398502.ba1	398502ba1	398502.ba	398502ba	$1$	$1$	$ 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{10} \cdot 13^{6} \cdot 131 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$2.439021982$	$1$		$2$	$2654208$	$1.465591$	$109902239/84888$	$0.87261$	$3.14036$	$[1, -1, 1, 15178, -420195]$	$y^2+xy+y=x^3-x^2+15178x-420195$	1048.2.0.?	$[(647, 16407)]$
415794.bh1	415794bh1	415794.bh	415794bh	$1$	$1$	$ 2 \cdot 3 \cdot 23^{2} \cdot 131 $	$ - 2^{3} \cdot 3^{4} \cdot 23^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$1710720$	$1.201557$	$109902239/84888$	$0.87261$	$2.88516$	$[1, 1, 1, 5279, -83209]$	$y^2+xy+y=x^3+x^2+5279x-83209$	1048.2.0.?	$[]$
471600.ep1	471600ep1	471600.ep	471600ep	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 $	$ - 2^{15} \cdot 3^{10} \cdot 5^{6} \cdot 131 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$1048$	$2$	$0$	$1$	$1$		$0$	$2211840$	$1.680983$	$109902239/84888$	$0.87261$	$3.29773$	$[0, 0, 0, 35925, 1516250]$	$y^2=x^3+35925x+1516250$	1048.2.0.?	$[]$

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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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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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