Elliptic curve isogeny class with LMFDB label 25410.q (Cremona label 25410q)

• Label: 25410.q
• Number of curves: $1$
• Conductor: $25410$
• CM: no
• Rank: $1$

Rank

The elliptic curve 25410.q1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(7\)	\(1 + T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 25410.q do not have complex multiplication.

Modular form 25410.2.a.q

Elliptic curves in class 25410.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
25410.q1	25410q1	\([1, 1, 0, -36907, -4080611]\)	\(-214358881/151200\)	\(-3921738599671200\)	\([]\)	\(190080\)	\(1.6921\)	\(\Gamma_0(N)\)-optimal