Elliptic curve isogeny class with LMFDB label 295659.g (Cremona label 295659g)

• Label: 295659.g
• Number of curves: $1$
• Conductor: $295659$
• CM: no
• Rank: $2$

Rank

The elliptic curve 295659.g1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(7\)	\(1 + T\)
\(13\)	\(1 - T\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + T + 2 T^{2}\)	1.2.b
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 295659.g do not have complex multiplication.

Modular form 295659.2.a.g

Elliptic curves in class 295659.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
295659.g1	295659g1	\([1, -1, 1, -22811, 1335912]\)	\(-4987743443713/18193357\)	\(-4787927568333\)	\([]\)	\(501120\)	\(1.2940\)	\(\Gamma_0(N)\)-optimal