Elliptic curve isogeny class with Cremona label 292410x (LMFDB label 292410.x)

• Label: 292410x
• Number of curves: $1$
• Conductor: $292410$
• CM: no
• Rank: $1$

Rank

The elliptic curve 292410x1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 292410x do not have complex multiplication.

Modular form 292410.2.a.x

Elliptic curves in class 292410x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
292410.x1	292410x1	\([1, -1, 0, 4806, -18992]\)	\(3221199/1900\)	\(-7240361085900\)	\([]\)	\(552960\)	\(1.1569\)	\(\Gamma_0(N)\)-optimal