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.u1	303450u1	303450.u	303450u	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5^{4} \cdot 7^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$8.091408624$	$1$		$0$	$13571712$	$2.437286$	$18694465225/6858432$	$0.93226$	$4.17928$	$[1, 1, 0, -903275, -200292675]$	\(y^2+xy=x^3+x^2-903275x-200292675\)	12.2.0.a.1	$[(-7106/3, 135751/3)]$
303450.cm1	303450cm1	303450.cm	303450cm	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5^{4} \cdot 7^{2} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$0.249236769$	$1$		$22$	$798336$	$1.020679$	$18694465225/6858432$	$0.93226$	$2.83259$	$[1, 0, 1, -3126, -40952]$	\(y^2+xy+y=x^3-3126x-40952\)	12.2.0.a.1	$[(-28, 171), (77, 381)]$
303450.dp1	303450dp1	303450.dp	303450dp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5^{10} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$3991680$	$1.825397$	$18694465225/6858432$	$0.93226$	$3.59759$	$[1, 1, 1, -78138, -5118969]$	\(y^2+xy+y=x^3+x^2-78138x-5118969\)	12.2.0.a.1	$[]$
303450.hb1	303450hb1	303450.hb	303450hb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{6} \cdot 3^{7} \cdot 5^{10} \cdot 7^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$0.956099867$	$1$		$4$	$67858560$	$3.242004$	$18694465225/6858432$	$0.93226$	$4.94429$	$[1, 0, 0, -22581888, -24991420608]$	\(y^2+xy=x^3-22581888x-24991420608\)	12.2.0.a.1	$[(-3444, 110964)]$