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
303450.j2	303450j2	303450.j	303450j	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 7^{5} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$7140$	$48$	$1$	$7.131883845$	$1$		$0$	$5760000$	$2.238438$	$110072002975/65345616$	$1.14553$	$3.96249$	$[1, 1, 0, 362800, 13674000]$	\(y^2+xy=x^3+x^2+362800x+13674000\)	5.6.0.a.1, 85.24.0.?, 420.12.0.?, 1428.2.0.?, 7140.48.1.?	$[(6724/3, 705512/3)]$
303450.da2	303450da2	303450.da	303450da	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 7^{5} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$7140$	$48$	$1$	$2.157216805$	$1$		$2$	$97920000$	$3.655045$	$110072002975/65345616$	$1.14553$	$5.30919$	$[1, 0, 1, 104849049, 66446418298]$	\(y^2+xy+y=x^3+104849049x+66446418298\)	5.6.0.a.1, 85.24.0.?, 420.12.0.?, 1428.2.0.?, 7140.48.1.?	$[(41351, 8645856)]$
303450.ea2	303450ea1	303450.ea	303450ea	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 7^{5} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$7140$	$48$	$1$	$3.489812799$	$1$		$2$	$19584000$	$2.850327$	$110072002975/65345616$	$1.14553$	$4.54418$	$[1, 1, 1, 4193962, 533248931]$	\(y^2+xy+y=x^3+x^2+4193962x+533248931\)	5.6.0.a.1, 85.24.0.?, 420.12.0.?, 1428.2.0.?, 7140.48.1.?	$[(10235, 1051177)]$
303450.gm2	303450gm1	303450.gm	303450gm	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{4} \cdot 7^{5} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.6.0.1	5B	$7140$	$48$	$1$	$0.243572312$	$1$		$6$	$1152000$	$1.433718$	$110072002975/65345616$	$1.14553$	$3.19749$	$[1, 0, 0, 14512, 109392]$	\(y^2+xy=x^3+14512x+109392\)	5.6.0.a.1, 85.24.0.?, 420.12.0.?, 1428.2.0.?, 7140.48.1.?	$[(58, 1042)]$