Elliptic curve search results

Results (unique match)

 

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
249690.cj6	249690cj2	249690.cj	249690cj	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 29^{4} \cdot 41^{2} \)	$1$	$\Z/2\Z\oplus\Z/8\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.40	2Cs	$1997520$	$768$	$13$	$4.745614618$	$1$		$22$	$190840832$	$4.033775$	$33716734605576776462761920782881/4496908623986020832100000000$	$0.99728$	$5.84130$	$[1, 0, 0, -673039570, -5895575919100]$	\(y^2+xy=x^3-673039570x-5895575919100\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 164.48.0.?, 328.192.1.?, $\ldots$	$[(29720, 579230)]$