Elliptic curve isogeny class with Cremona label 113568g (LMFDB label 113568.bi)

• Label: 113568g
• Number of curves: $1$
• Conductor: $113568$
• CM: no
• Rank: $1$

Rank

The elliptic curve 113568g1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(7\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 113568g do not have complex multiplication.

Modular form 113568.2.a.g

Isogeny graph

Elliptic curves in class 113568g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
113568.bi1	113568g1	\([0, -1, 0, -530209, -148526639]\)	\(-4933544512/3969\)	\(-13261353908834304\)	\([]\)	\(1357824\)	\(2.0234\)	\(\Gamma_0(N)\)-optimal