Elliptic curve isogeny class with LMFDB label 30960.n (Cremona label 30960bk)

• Label: 30960.n
• Number of curves: $1$
• Conductor: $30960$
• CM: no
• Rank: $0$

Rank

The elliptic curve 30960.n1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(43\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 30960.n do not have complex multiplication.

Modular form 30960.2.a.n

Isogeny graph

Elliptic curves in class 30960.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
30960.n1	30960bk1	\([0, 0, 0, -2416368, 1468298608]\)	\(-522547125460258816/9506987907075\)	\(-28387713778719436800\)	\([]\)	\(860160\)	\(2.5287\)	\(\Gamma_0(N)\)-optimal