Elliptic curve search results

Results (6 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
86190.i1	86190f1	86190.i	86190f	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{4} \cdot 5^{5} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$4$	$2$	$0$	$14826240$	$3.209164$	$4752182606640001/2546899200000$	$1.00640$	$5.43340$	$[1, 1, 0, -18093988, -8060278832]$	\(y^2+xy=x^3+x^2-18093988x-8060278832\)	680.2.0.?	$[]$
86190.by1	86190cd1	86190.by	86190cd	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{4} \cdot 5^{5} \cdot 13^{4} \cdot 17^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$0.048473358$	$1$		$48$	$1140480$	$1.926689$	$4752182606640001/2546899200000$	$1.00640$	$4.07919$	$[1, 1, 1, -107065, -3709945]$	\(y^2+xy+y=x^3+x^2-107065x-3709945\)	680.2.0.?	$[(-217, 3168), (-47, 1128)]$
258570.g1	258570g1	258570.g	258570g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{10} \cdot 5^{5} \cdot 13^{4} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$9123840$	$2.475994$	$4752182606640001/2546899200000$	$1.00640$	$4.24851$	$[1, -1, 0, -963585, 99204925]$	\(y^2+xy=x^3-x^2-963585x+99204925\)	680.2.0.?	$[]$
258570.fn1	258570fn1	258570.fn	258570fn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{10} \cdot 5^{5} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$118609920$	$3.758469$	$4752182606640001/2546899200000$	$1.00640$	$5.48335$	$[1, -1, 1, -162845897, 217464682569]$	\(y^2+xy+y=x^3-x^2-162845897x+217464682569\)	680.2.0.?	$[]$
430950.ef1	430950ef1	430950.ef	430950ef	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{4} \cdot 5^{11} \cdot 13^{4} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$1$	$1$		$0$	$27371520$	$2.731407$	$4752182606640001/2546899200000$	$1.00640$	$4.31747$	$[1, 0, 1, -2676626, -458389852]$	\(y^2+xy+y=x^3-2676626x-458389852\)	680.2.0.?	$[]$
430950.gz1	430950gz1	430950.gz	430950gz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{11} \cdot 3^{4} \cdot 5^{11} \cdot 13^{10} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$680$	$2$	$0$	$5.673415509$	$1$		$2$	$355829760$	$4.013885$	$4752182606640001/2546899200000$	$1.00640$	$5.50369$	$[1, 0, 0, -452349713, -1006630154583]$	\(y^2+xy=x^3-452349713x-1006630154583\)	680.2.0.?	$[(-14438, 1593019)]$