Elliptic curve isogeny class with Cremona label 116160ef (LMFDB label 116160.ib)

• Label: 116160ef
• Number of curves: $1$
• Conductor: $116160$
• CM: no
• Rank: $0$

Rank

The elliptic curve 116160ef1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 116160ef do not have complex multiplication.

Modular form 116160.2.a.ef

Elliptic curves in class 116160ef

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
116160.ib1	116160ef1	\([0, 1, 0, -50145, -4336257]\)	\(439632699649/300000\)	\(9515827200000\)	\([]\)	\(460800\)	\(1.4280\)	\(\Gamma_0(N)\)-optimal