Elliptic curve search results

Results (8 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
6019.a1	6019a1	6019.a	6019a	$1$	$1$	\( 13 \cdot 463 \)	\( - 13^{5} \cdot 463 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$12038$	$2$	$0$	$0.523985645$	$1$		$2$	$1100$	$0.262127$	$28991029248/171908659$	$1.10389$	$3.02373$	$[0, 0, 1, 64, 599]$	\(y^2+y=x^3+64x+599\)	12038.2.0.?	$[(-3, 19)]$
54171.a1	54171d1	54171.a	54171d	$1$	$1$	\( 3^{2} \cdot 13 \cdot 463 \)	\( - 3^{6} \cdot 13^{5} \cdot 463 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12038$	$2$	$0$	$1.181560679$	$1$		$10$	$35200$	$0.811434$	$28991029248/171908659$	$1.10389$	$3.01894$	$[0, 0, 1, 576, -16180]$	\(y^2+y=x^3+576x-16180\)	12038.2.0.?	$[(22, 84), (360, 6844)]$
78247.a1	78247a1	78247.a	78247a	$1$	$1$	\( 13^{2} \cdot 463 \)	\( - 13^{11} \cdot 463 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12038$	$2$	$0$	$5.772646895$	$1$		$0$	$184800$	$1.544601$	$28991029248/171908659$	$1.10389$	$3.70124$	$[0, 0, 1, 10816, 1316552]$	\(y^2+y=x^3+10816x+1316552\)	12038.2.0.?	$[(3406/3, 208448/3)]$
96304.c1	96304c1	96304.c	96304c	$1$	$1$	\( 2^{4} \cdot 13 \cdot 463 \)	\( - 2^{12} \cdot 13^{5} \cdot 463 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12038$	$2$	$0$	$4.407622157$	$1$		$2$	$79200$	$0.955275$	$28991029248/171908659$	$1.10389$	$3.01799$	$[0, 0, 0, 1024, -38352]$	\(y^2=x^3+1024x-38352\)	12038.2.0.?	$[(57, 453)]$
150475.d1	150475d1	150475.d	150475d	$1$	$1$	\( 5^{2} \cdot 13 \cdot 463 \)	\( - 5^{6} \cdot 13^{5} \cdot 463 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12038$	$2$	$0$	$9.383693410$	$1$		$0$	$118800$	$1.066847$	$28991029248/171908659$	$1.10389$	$3.01732$	$[0, 0, 1, 1600, 74906]$	\(y^2+y=x^3+1600x+74906\)	12038.2.0.?	$[(10801/6, 1133891/6)]$
294931.c1	294931c1	294931.c	294931c	$1$	$1$	\( 7^{2} \cdot 13 \cdot 463 \)	\( - 7^{6} \cdot 13^{5} \cdot 463 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12038$	$2$	$0$	$7.401105527$	$1$		$0$	$363000$	$1.235083$	$28991029248/171908659$	$1.10389$	$3.01639$	$[0, 0, 1, 3136, -205543]$	\(y^2+y=x^3+3136x-205543\)	12038.2.0.?	$[(1261/3, 46630/3)]$
385216.g1	385216g1	385216.g	385216g	$1$	$1$	\( 2^{6} \cdot 13 \cdot 463 \)	\( - 2^{6} \cdot 13^{5} \cdot 463 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12038$	$2$	$0$	$1$	$1$		$0$	$158400$	$0.608701$	$28991029248/171908659$	$1.10389$	$2.36934$	$[0, 0, 0, 256, 4794]$	\(y^2=x^3+256x+4794\)	12038.2.0.?	$[]$
385216.h1	385216h1	385216.h	385216h	$1$	$1$	\( 2^{6} \cdot 13 \cdot 463 \)	\( - 2^{6} \cdot 13^{5} \cdot 463 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12038$	$2$	$0$	$1$	$1$		$0$	$158400$	$0.608701$	$28991029248/171908659$	$1.10389$	$2.36934$	$[0, 0, 0, 256, -4794]$	\(y^2=x^3+256x-4794\)	12038.2.0.?	$[]$