Elliptic curve search results

Results (4 matches)

 

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
62790.bu6	62790bt2	62790.bu	62790bt	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 7^{4} \cdot 13^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.1, 3.8.0.1	2Cs, 3B.1.1	$3588$	$384$	$5$	$1$	$1$		$10$	$38043648$	$3.901947$	$2155087111607167363355460545287201/156481162929000000000000$	$1.02326$	$6.94753$	$[1, 0, 0, -2691000050, 53729999002500]$	\(y^2+xy=x^3-2691000050x+53729999002500\)	2.6.0.a.1, 3.8.0-3.a.1.2, 4.12.0-2.a.1.1, 6.48.0-6.a.1.1, 12.96.0-12.a.1.7, $\ldots$	$[]$
188370.r6	188370cc2	188370.r	188370cc	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{12} \cdot 7^{4} \cdot 13^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$3588$	$384$	$5$	$23.50763069$	$1$		$2$	$304349184$	$4.451248$	$2155087111607167363355460545287201/156481162929000000000000$	$1.02326$	$6.86182$	$[1, -1, 0, -24219000450, -1450709973067500]$	\(y^2+xy=x^3-x^2-24219000450x-1450709973067500\)	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.1.15, 52.12.0-2.a.1.1, $\ldots$	$[(1185482446119/670, 1288060278507954657/670)]$
313950.h6	313950h2	313950.h	313950h	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{18} \cdot 7^{4} \cdot 13^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$17940$	$384$	$5$	$1$	$1$		$2$	$913047552$	$4.706665$	$2155087111607167363355460545287201/156481162929000000000000$	$1.02326$	$6.82704$	$[1, 1, 0, -67275001250, 6716249875312500]$	\(y^2+xy=x^3+x^2-67275001250x+6716249875312500\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 15.8.0-3.a.1.2, $\ldots$	$[]$
439530.cy6	439530cy2	439530.cy	439530cy	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 23 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 7^{10} \cdot 13^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$25116$	$384$	$5$	$24.28032473$	$1$		$2$	$1826095104$	$4.874901$	$2155087111607167363355460545287201/156481162929000000000000$	$1.02326$	$6.80562$	$[1, 1, 1, -131859002451, -18429521516859951]$	\(y^2+xy+y=x^3+x^2-131859002451x-18429521516859951\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 21.8.0-3.a.1.1, $\ldots$	$[(37780739283517/4283, 228255514725611231698/4283)]$