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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 (20 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	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	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
2093.d2	2093d1	2093.d	2093d	$2$	$2$	$ 7 \cdot 13 \cdot 23 $	$ - 7 \cdot 13^{2} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$	$1$	$240$	$-0.201422$	$541343375/625807$	$0.79411$	$2.62995$	$[1, 1, 1, 17, -20]$	$y^2+xy+y=x^3+x^2+17x-20$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
14651.d2	14651l1	14651.d	14651l	$2$	$2$	$ 7^{2} \cdot 13 \cdot 23 $	$ - 7^{7} \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$0.884136483$	$1$	$7$	$11520$	$0.771533$	$541343375/625807$	$0.79411$	$3.31361$	$[1, 0, 0, 832, 9295]$	$y^2+xy=x^3+832x+9295$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(13, 143)]$
18837.l2	18837j1	18837.l	18837j	$2$	$2$	$ 3^{2} \cdot 7 \cdot 13 \cdot 23 $	$ - 3^{6} \cdot 7 \cdot 13^{2} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$	$1$	$5760$	$0.347884$	$541343375/625807$	$0.79411$	$2.71255$	$[1, -1, 0, 153, 688]$	$y^2+xy=x^3-x^2+153x+688$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
27209.m2	27209e1	27209.m	27209e	$2$	$2$	$ 7 \cdot 13^{2} \cdot 23 $	$ - 7 \cdot 13^{8} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$21.61309980$	$1$	$1$	$40320$	$1.081053$	$541343375/625807$	$0.79411$	$3.47647$	$[1, 1, 0, 2870, -57897]$	$y^2+xy=x^3+x^2+2870x-57897$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(10761935463/5654, 1101273963718569/5654)]$
33488.e2	33488n1	33488.e	33488n	$2$	$2$	$ 2^{4} \cdot 7 \cdot 13 \cdot 23 $	$ - 2^{12} \cdot 7 \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$0.998091327$	$1$	$7$	$15360$	$0.491725$	$541343375/625807$	$0.79411$	$2.72843$	$[0, 1, 0, 272, 1812]$	$y^2=x^3+x^2+272x+1812$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(-4, 26)]$
48139.e2	48139c1	48139.e	48139c	$2$	$2$	$ 7 \cdot 13 \cdot 23^{2} $	$ - 7 \cdot 13^{2} \cdot 23^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$	$1$	$126720$	$1.366325$	$541343375/625807$	$0.79411$	$3.61001$	$[1, 1, 1, 8982, 330998]$	$y^2+xy+y=x^3+x^2+8982x+330998$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
52325.k2	52325h1	52325.k	52325h	$2$	$2$	$ 5^{2} \cdot 7 \cdot 13 \cdot 23 $	$ - 5^{6} \cdot 7 \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$2.011480787$	$1$	$3$	$34560$	$0.603297$	$541343375/625807$	$0.79411$	$2.73958$	$[1, 0, 1, 424, -3327]$	$y^2+xy+y=x^3+424x-3327$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(11, 46)]$
131859.bd2	131859bc1	131859.bd	131859bc	$2$	$2$	$ 3^{2} \cdot 7^{2} \cdot 13 \cdot 23 $	$ - 3^{6} \cdot 7^{7} \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$6.920298247$	$1$	$1$	$276480$	$1.320839$	$541343375/625807$	$0.79411$	$3.25516$	$[1, -1, 0, 7488, -250965]$	$y^2+xy=x^3-x^2+7488x-250965$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(24466/5, 3778671/5)]$
133952.o2	133952bt1	133952.o	133952bt	$2$	$2$	$ 2^{6} \cdot 7 \cdot 13 \cdot 23 $	$ - 2^{18} \cdot 7 \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$2.473281674$	$1$	$5$	$122880$	$0.838299$	$541343375/625807$	$0.79411$	$2.76032$	$[0, 1, 0, 1087, -13409]$	$y^2=x^3+x^2+1087x-13409$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(34, 253)]$
133952.cm2	133952bj1	133952.cm	133952bj	$2$	$2$	$ 2^{6} \cdot 7 \cdot 13 \cdot 23 $	$ - 2^{18} \cdot 7 \cdot 13^{2} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$	$1$	$122880$	$0.838299$	$541343375/625807$	$0.79411$	$2.76032$	$[0, -1, 0, 1087, 13409]$	$y^2=x^3-x^2+1087x+13409$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
190463.bg2	190463bg1	190463.bg	190463bg	$2$	$2$	$ 7^{2} \cdot 13^{2} \cdot 23 $	$ - 7^{7} \cdot 13^{8} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$	$1$	$1935360$	$2.054008$	$541343375/625807$	$0.79411$	$3.88039$	$[1, 0, 1, 140604, 20280509]$	$y^2+xy+y=x^3+140604x+20280509$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
234416.bw2	234416bw1	234416.bw	234416bw	$2$	$2$	$ 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 $	$ - 2^{12} \cdot 7^{7} \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$2.588172075$	$1$	$3$	$737280$	$1.464680$	$541343375/625807$	$0.79411$	$3.24329$	$[0, -1, 0, 13312, -594880]$	$y^2=x^3-x^2+13312x-594880$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(544, 12936)]$
244881.s2	244881s1	244881.s	244881s	$2$	$2$	$ 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 $	$ - 3^{6} \cdot 7 \cdot 13^{8} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$2.991859510$	$1$	$5$	$967680$	$1.630360$	$541343375/625807$	$0.79411$	$3.39210$	$[1, -1, 1, 25825, 1589046]$	$y^2+xy+y=x^3-x^2+25825x+1589046$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(114, 2393)]$
253253.n2	253253n1	253253.n	253253n	$2$	$2$	$ 7 \cdot 11^{2} \cdot 13 \cdot 23 $	$ - 7 \cdot 11^{6} \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$4.148198342$	$1$	$1$	$307200$	$0.997526$	$541343375/625807$	$0.79411$	$2.77259$	$[1, 1, 0, 2055, 36656]$	$y^2+xy=x^3+x^2+2055x+36656$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(143/2, 3031/2)]$
301392.bl2	301392bl1	301392.bl	301392bl	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 $	$ - 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1.016245183$	$1$	$9$	$368640$	$1.041031$	$541343375/625807$	$0.79411$	$2.77572$	$[0, 0, 0, 2445, -46478]$	$y^2=x^3+2445x-46478$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(89, 936)]$
336973.e2	336973e1	336973.e	336973e	$2$	$2$	$ 7^{2} \cdot 13 \cdot 23^{2} $	$ - 7^{7} \cdot 13^{2} \cdot 23^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$	$1$	$6082560$	$2.339279$	$541343375/625807$	$0.79411$	$3.97540$	$[1, 0, 0, 440117, -112212024]$	$y^2+xy=x^3+440117x-112212024$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
366275.bh2	366275bh1	366275.bh	366275bh	$2$	$2$	$ 5^{2} \cdot 7^{2} \cdot 13 \cdot 23 $	$ - 5^{6} \cdot 7^{7} \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$4.479577690$	$1$	$1$	$1658880$	$1.576252$	$541343375/625807$	$0.79411$	$3.23481$	$[1, 1, 0, 20800, 1161875]$	$y^2+xy=x^3+x^2+20800x+1161875$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(9841/8, 1411085/8)]$
433251.bh2	433251bh1	433251.bh	433251bh	$2$	$2$	$ 3^{2} \cdot 7 \cdot 13 \cdot 23^{2} $	$ - 3^{6} \cdot 7 \cdot 13^{2} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$8.031192716$	$1$	$3$	$3041280$	$1.915632$	$541343375/625807$	$0.79411$	$3.50674$	$[1, -1, 0, 80838, -8856113]$	$y^2+xy=x^3-x^2+80838x-8856113$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(212066, 97551599)]$
435344.i2	435344i1	435344.i	435344i	$2$	$2$	$ 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 $	$ - 2^{12} \cdot 7 \cdot 13^{8} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$	$1$	$2580480$	$1.774200$	$541343375/625807$	$0.79411$	$3.37472$	$[0, 1, 0, 45912, 3797236]$	$y^2=x^3+x^2+45912x+3797236$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
470925.y2	470925y1	470925.y	470925y	$2$	$2$	$ 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 $	$ - 3^{6} \cdot 5^{6} \cdot 7 \cdot 13^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$644$	$12$	$0$	$2.995665257$	$1$	$5$	$829440$	$1.152603$	$541343375/625807$	$0.79411$	$2.78339$	$[1, -1, 1, 3820, 89822]$	$y^2+xy+y=x^3-x^2+3820x+89822$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(-20, 81)]$

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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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