Elliptic curve isogeny class with Cremona label 388080a (LMFDB label 388080.a)

• Label: 388080a
• Number of curves: $1$
• Conductor: $388080$
• CM: no
• Rank: $0$

Rank

The elliptic curve 388080a1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(13\)	\( 1 + 7 T + 13 T^{2}\)	1.13.h
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 388080a do not have complex multiplication.

Modular form 388080.2.a.a

Elliptic curves in class 388080a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
388080.a1	388080a1	\([0, 0, 0, -53508, 3524668]\)	\(15748096/4125\)	\(4437882165024000\)	\([]\)	\(2838528\)	\(1.7113\)	\(\Gamma_0(N)\)-optimal