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
77315.a1	77315b1	77315.a	77315b	$1$	$1$	\( 5 \cdot 7 \cdot 47^{2} \)	\( 5 \cdot 7^{2} \cdot 47^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.620270186$	$1$		$12$	$12288$	$-0.141258$	$4879681/245$	$0.91386$	$2.05238$	$[1, 0, 0, -46, 111]$	\(y^2+xy=x^3-46x+111\)	10.2.0.a.1	$[(5, 1), (-2, 15)]$
77315.b1	77315e1	77315.b	77315e	$1$	$1$	\( 5 \cdot 7 \cdot 47^{2} \)	\( 5 \cdot 7^{2} \cdot 47^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.747390355$	$1$		$2$	$577536$	$1.783815$	$4879681/245$	$0.91386$	$4.10477$	$[1, 0, 0, -101660, -11930933]$	\(y^2+xy=x^3-101660x-11930933\)	10.2.0.a.1	$[(2393, 114776)]$
386575.l1	386575l1	386575.l	386575l	$1$	$1$	\( 5^{2} \cdot 7 \cdot 47^{2} \)	\( 5^{7} \cdot 7^{2} \cdot 47^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$2.354922048$	$1$		$2$	$294912$	$0.663462$	$4879681/245$	$0.91386$	$2.54623$	$[1, 1, 0, -1150, 13875]$	\(y^2+xy=x^3+x^2-1150x+13875\)	10.2.0.a.1	$[(-30, 165)]$
386575.m1	386575m1	386575.m	386575m	$1$	$1$	\( 5^{2} \cdot 7 \cdot 47^{2} \)	\( 5^{7} \cdot 7^{2} \cdot 47^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$19.18607347$	$1$		$0$	$13860864$	$2.588535$	$4879681/245$	$0.91386$	$4.34186$	$[1, 1, 0, -2541500, -1491366625]$	\(y^2+xy=x^3+x^2-2541500x-1491366625\)	10.2.0.a.1	$[(-1521022370/1317, 19268626693295/1317)]$