Elliptic curve isogeny class with Cremona label 30960f (LMFDB label 30960.e)

• Label: 30960f
• Number of curves: $1$
• Conductor: $30960$
• CM: no
• Rank: $1$

Rank

The elliptic curve 30960f1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(43\)	\(1 + T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 30960f do not have complex multiplication.

Modular form 30960.2.a.f

Isogeny graph

Elliptic curves in class 30960f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
30960.e1	30960f1	\([0, 0, 0, -3, -862]\)	\(-2/215\)	\(-320993280\)	\([]\)	\(10752\)	\(0.31113\)	\(\Gamma_0(N)\)-optimal