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
28042.a1	28042b1	28042.a	28042b	$1$	$1$	\( 2 \cdot 7 \cdot 2003 \)	\( - 2^{2} \cdot 7^{2} \cdot 2003 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4006$	$2$	$0$	$0.370852369$	$1$		$42$	$16416$	$-0.221667$	$-781229961/392588$	$0.73208$	$2.06039$	$[1, -1, 0, -19, 49]$	\(y^2+xy=x^3-x^2-19x+49\)	4006.2.0.?	$[(3, 2), (-4, 9), (10, 23)]$
196294.e1	196294j1	196294.e	196294j	$1$	$1$	\( 2 \cdot 7^{2} \cdot 2003 \)	\( - 2^{2} \cdot 7^{8} \cdot 2003 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4006$	$2$	$0$	$1$	$4$	$2$	$0$	$787968$	$0.751288$	$-781229961/392588$	$0.73208$	$2.68942$	$[1, -1, 0, -940, -14932]$	\(y^2+xy=x^3-x^2-940x-14932\)	4006.2.0.?	$[]$
224336.k1	224336f1	224336.k	224336f	$1$	$1$	\( 2^{4} \cdot 7 \cdot 2003 \)	\( - 2^{14} \cdot 7^{2} \cdot 2003 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4006$	$2$	$0$	$1$	$1$		$0$	$393984$	$0.471481$	$-781229961/392588$	$0.73208$	$2.38775$	$[0, 0, 0, -307, -2830]$	\(y^2=x^3-307x-2830\)	4006.2.0.?	$[]$
252378.x1	252378x1	252378.x	252378x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 2003 \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 2003 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4006$	$2$	$0$	$1$	$4$	$2$	$0$	$229824$	$0.327640$	$-781229961/392588$	$0.73208$	$2.22637$	$[1, -1, 1, -173, -1151]$	\(y^2+xy+y=x^3-x^2-173x-1151\)	4006.2.0.?	$[]$