Elliptic curve search results

Results (9 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	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
18354.c1	18354e3	18354.c	18354e	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{2} \cdot 3^{4} \cdot 7 \cdot 19 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$73416$	$48$	$0$	$1.737249613$	$1$		$4$	$18432$	$0.787929$	$2800418713303177/12058908372$	$0.90151$	$3.62294$	$[1, 1, 0, -2936, -62244]$	\(y^2+xy=x^3+x^2-2936x-62244\)	2.3.0.a.1, 4.12.0-4.c.1.2, 266.6.0.?, 532.24.0.?, 552.24.0.?, $\ldots$	$[(-31, 2)]$
55062.bs1	55062bs4	55062.bs	55062bs	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{2} \cdot 3^{10} \cdot 7 \cdot 19 \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$1$	$1$		$0$	$147456$	$1.337234$	$2800418713303177/12058908372$	$0.90151$	$3.86216$	$[1, -1, 1, -26429, 1654161]$	\(y^2+xy+y=x^3-x^2-26429x+1654161\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 184.12.0.?, 266.6.0.?, $\ldots$	$[ ]$
128478.bi1	128478bj4	128478.bi	128478bj	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \)	\( 2^{2} \cdot 3^{4} \cdot 7^{7} \cdot 19 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$1.837154482$	$1$		$4$	$884736$	$1.760883$	$2800418713303177/12058908372$	$0.90151$	$4.01615$	$[1, 0, 1, -143890, 20918048]$	\(y^2+xy+y=x^3-143890x+20918048\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 76.12.0.?, 266.6.0.?, $\ldots$	$[(193, 491)]$
146832.w1	146832f3	146832.w	146832f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{14} \cdot 3^{4} \cdot 7 \cdot 19 \cdot 23^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$73416$	$48$	$0$	$1$	$1$		$3$	$442368$	$1.481075$	$2800418713303177/12058908372$	$0.90151$	$3.68884$	$[0, 1, 0, -46984, 3889652]$	\(y^2=x^3+x^2-46984x+3889652\)	2.3.0.a.1, 4.12.0-4.c.1.1, 266.6.0.?, 532.24.0.?, 552.24.0.?, $\ldots$	$[ ]$
348726.cp1	348726cp3	348726.cp	348726cp	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{4} \cdot 7 \cdot 19^{7} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$2.927141035$	$1$		$0$	$6635520$	$2.260147$	$2800418713303177/12058908372$	$0.90151$	$4.17137$	$[1, 0, 0, -1060084, 418451420]$	\(y^2+xy=x^3-1060084x+418451420\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 76.12.0.?, 266.6.0.?, $\ldots$	$[(2723/2, 25435/2)]$
385434.dq1	385434dq4	385434.dq	385434dq	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \)	\( 2^{2} \cdot 3^{10} \cdot 7^{7} \cdot 19 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$5.544192495$	$1$		$2$	$7077888$	$2.310188$	$2800418713303177/12058908372$	$0.90151$	$4.18560$	$[1, -1, 1, -1295006, -564787303]$	\(y^2+xy+y=x^3-x^2-1295006x-564787303\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 228.12.0.?, 266.6.0.?, $\ldots$	$[(-683, 1201)]$
422142.o1	422142o3	422142.o	422142o	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 7 \cdot 19 \cdot 23^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$1$	$1$		$0$	$9732096$	$2.355675$	$2800418713303177/12058908372$	$0.90151$	$4.19834$	$[1, 1, 0, -1553419, 741789433]$	\(y^2+xy=x^3+x^2-1553419x+741789433\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 92.12.0.?, 266.6.0.?, $\ldots$	$[ ]$
440496.cm1	440496cm4	440496.cm	440496cm	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{14} \cdot 3^{10} \cdot 7 \cdot 19 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$73416$	$48$	$0$	$4.628513956$	$1$		$3$	$3538944$	$2.030380$	$2800418713303177/12058908372$	$0.90151$	$3.88422$	$[0, 0, 0, -422859, -105443462]$	\(y^2=x^3-422859x-105443462\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 184.12.0.?, 266.6.0.?, $\ldots$	$[(-369, 590)]$
458850.eu1	458850eu4	458850.eu	458850eu	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 7 \cdot 19 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$367080$	$48$	$0$	$3.156754484$	$1$		$2$	$2359296$	$1.592648$	$2800418713303177/12058908372$	$0.90151$	$3.46912$	$[1, 0, 0, -73413, -7633683]$	\(y^2+xy=x^3-73413x-7633683\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 266.6.0.?, 532.12.0.?, $\ldots$	$[(342, 2529)]$

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