Elliptic curve isogeny class with LMFDB label 3960.f (Cremona label 3960o)

• Label: 3960.f
• Number of curves: $1$
• Conductor: $3960$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3960.f1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3960.f do not have complex multiplication.

Modular form 3960.2.a.f

Elliptic curves in class 3960.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3960.f1	3960o1	\([0, 0, 0, -603, 6102]\)	\(-16241202/1375\)	\(-2052864000\)	\([]\)	\(2016\)	\(0.53187\)	\(\Gamma_0(N)\)-optimal