Elliptic curve isogeny class with LMFDB label 381480.ci (Cremona label 381480ci)

• Label: 381480.ci
• Number of curves: $1$
• Conductor: $381480$
• CM: no
• Rank: $1$

Rank

The elliptic curve 381480.ci1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1 - T\)
\(11\)	\(1 + T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 381480.ci do not have complex multiplication.

Modular form 381480.2.a.ci

Elliptic curves in class 381480.ci

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
381480.ci1	381480ci1	\([0, 1, 0, -385, -685]\)	\(295936/165\)	\(3527927040\)	\([]\)	\(251136\)	\(0.52231\)	\(\Gamma_0(N)\)-optimal