Elliptic curve search results

Results (5 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
46410.ck6	46410cn2	46410.ck	46410cn	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17$	$2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2}$	$0$	$\Z/2\Z\oplus\Z/8\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.40	2Cs	$371280$	$768$	$13$	$1$	$1$		$14$	$3145728$	$2.779636$	$72727020009972527154752161/265361167808100000000$	$0.98646$	$5.54186$	$[1, 0, 0, -8696090, 9838496100]$	$y^2+xy=x^3-8696090x+9838496100$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 240.192.1.?, 476.48.0.?, $\ldots$	$[]$
139230.j6	139230dy2	139230.j	139230dy	$8$	$16$	$2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17$	$2^{8} \cdot 3^{14} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.98	2Cs	$371280$	$768$	$13$	$5.891810039$	$1$		$2$	$25165824$	$3.328945$	$72727020009972527154752161/265361167808100000000$	$0.98646$	$5.58435$	$[1, -1, 0, -78264810, -265639394700]$	$y^2+xy=x^3-x^2-78264810x-265639394700$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 12.24.0-4.b.1.3, 24.96.0-8.l.2.3, $\ldots$	$[(201940/3, 81922090/3)]$
232050.bf6	232050bf2	232050.bf	232050bf	$8$	$16$	$2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17$	$2^{8} \cdot 3^{8} \cdot 5^{14} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.98	2Cs	$371280$	$768$	$13$	$1$	$1$		$2$	$75497472$	$3.584358$	$72727020009972527154752161/265361167808100000000$	$0.98646$	$5.60154$	$[1, 1, 0, -217402250, 1229812012500]$	$y^2+xy=x^3+x^2-217402250x+1229812012500$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 20.24.0-4.b.1.3, 40.96.0-8.l.2.2, $\ldots$	$[]$
324870.dd6	324870dd2	324870.dd	324870dd	$8$	$16$	$2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17$	$2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 13^{4} \cdot 17^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.98	2Cs	$371280$	$768$	$13$	$7.010727584$	$1$		$4$	$150994944$	$3.752594$	$72727020009972527154752161/265361167808100000000$	$0.98646$	$5.61210$	$[1, 1, 1, -426108411, -3375030270711]$	$y^2+xy+y=x^3+x^2-426108411x-3375030270711$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 28.24.0-4.b.1.3, 56.96.0-8.l.2.3, $\ldots$	$[(648789, 521991230)]$
371280.cy6	371280cy2	371280.cy	371280cy	$8$	$16$	$2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17$	$2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.57	2Cs	$371280$	$768$	$13$	$1$	$1$		$3$	$75497472$	$3.472786$	$72727020009972527154752161/265361167808100000000$	$0.98646$	$5.29186$	$[0, -1, 0, -139137440, -629663750400]$	$y^2=x^3-x^2-139137440x-629663750400$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.l.2.4, 240.192.1.?, 476.48.0.?, $\ldots$	$[]$

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