Elliptic curve isogeny class with LMFDB label 930.f (Cremona label 930f)

• Label: 930.f
• Number of curves: $1$
• Conductor: $930$
• CM: no
• Rank: $0$

Rank

The elliptic curve 930.f1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(5\)	\(1 + T\)
\(31\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 930.f do not have complex multiplication.

Modular form 930.2.a.f

Elliptic curves in class 930.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
930.f1	930f1	\([1, 0, 1, -10400749, 13377941672]\)	\(-124427822010671478697670089/5317924709672681472000\)	\(-5317924709672681472000\)	\([]\)	\(91080\)	\(2.9349\)	\(\Gamma_0(N)\)-optimal