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

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

Rank

The elliptic curve 930b1 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 \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 930.2.a.b

Elliptic curves in class 930b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
930.a1	930b1	\([1, 1, 0, -203, -1347]\)	\(-932288503609/148800000\)	\(-148800000\)	\([]\)	\(360\)	\(0.29627\)	\(\Gamma_0(N)\)-optimal