Elliptic curve isogeny class with Cremona label 25383a (LMFDB label 25383.a)

• Label: 25383a
• Number of curves: $1$
• Conductor: $25383$
• CM: no
• Rank: $3$

Rank

The elliptic curve 25383a1 has rank \(3\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(8461\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 7 T + 29 T^{2}\)	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 25383a do not have complex multiplication.

Modular form 25383.2.a.a

Elliptic curves in class 25383a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
25383.a1	25383a1	\([0, -1, 1, -32, 80]\)	\(3738308608/76149\)	\(76149\)	\([]\)	\(7680\)	\(-0.27248\)	\(\Gamma_0(N)\)-optimal