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

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

Rank

The elliptic curve 292410bh1 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.b
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 292410.2.a.bh

Elliptic curves in class 292410bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
292410.bh1	292410bh1	\([1, -1, 1, -2783378, -3172198463]\)	\(-95381352009/118750000\)	\(-2969000567786868750000\)	\([]\)	\(19906560\)	\(2.8136\)	\(\Gamma_0(N)\)-optimal