Elliptic curve isogeny class with LMFDB label 925.e (Cremona label 925e)

• Label: 925.e
• Number of curves: $1$
• Conductor: $925$
• CM: no
• Rank: $0$

Rank

The elliptic curve 925.e1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(5\)	\(1\)
\(37\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(3\)	\( 1 - 3 T + 3 T^{2}\)	1.3.ad
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 925.e do not have complex multiplication.

Modular form 925.2.a.e

Elliptic curves in class 925.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
925.e1	925e1	\([0, 0, 1, -25, 31]\)	\(110592/37\)	\(578125\)	\([]\)	\(256\)	\(-0.19182\)	\(\Gamma_0(N)\)-optimal