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
333270.t2	333270t1	333270.t	333270t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7^{4} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$3538944$	$1.889326$	$2033419614309/76832000$	$1.07225$	$3.74584$	$[1, -1, 0, -163905, -24652099]$	\(y^2+xy=x^3-x^2-163905x-24652099\)	2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?	$[]$
333270.ca2	333270ca1	333270.ca	333270ca	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$81395712$	$3.457073$	$2033419614309/76832000$	$1.07225$	$5.22523$	$[1, -1, 0, -86705844, 300462323408]$	\(y^2+xy=x^3-x^2-86705844x+300462323408\)	2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?	$[]$
333270.dx2	333270dx1	333270.dx	333270dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$1$	$1$		$1$	$27131904$	$2.907768$	$2033419614309/76832000$	$1.07225$	$4.70688$	$[1, -1, 1, -9633983, -11125022873]$	\(y^2+xy+y=x^3-x^2-9633983x-11125022873\)	2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?	$[]$
333270.ed2	333270ed1	333270.ed	333270ed	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 23^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1380$	$12$	$0$	$0.725003332$	$1$		$25$	$1179648$	$1.340019$	$2033419614309/76832000$	$1.07225$	$3.22749$	$[1, -1, 1, -18212, 919111]$	\(y^2+xy+y=x^3-x^2-18212x+919111\)	2.3.0.a.1, 20.6.0.d.1, 276.6.0.?, 690.6.0.?, 1380.12.0.?	$[(41, 469), (61, 149)]$