Elliptic curve isogeny class with Cremona label 9310k (LMFDB label 9310.i)

• Label: 9310k
• Number of curves: $1$
• Conductor: $9310$
• CM: no
• Rank: $0$

Rank

The elliptic curve 9310k1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(19\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9310k do not have complex multiplication.

Modular form 9310.2.a.k

Elliptic curves in class 9310k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9310.i1	9310k1	\([1, 0, 1, 72, -444]\)	\(357911/950\)	\(-111766550\)	\([]\)	\(3024\)	\(0.22799\)	\(\Gamma_0(N)\)-optimal