Elliptic curve isogeny class with LMFDB label 7440.n (Cremona label 7440e)

• Label: 7440.n
• Number of curves: $1$
• Conductor: $7440$
• CM: no
• Rank: $1$

Rank

The elliptic curve 7440.n1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(31\)	\(1 - T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 7440.n do not have complex multiplication.

Modular form 7440.2.a.n

Isogeny graph

Elliptic curves in class 7440.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7440.n1	7440e1	\([0, -1, 0, -1639440, 808509600]\)	\(-237947203935023980322/588515625\)	\(-1205280000000\)	\([]\)	\(73920\)	\(1.9835\)	\(\Gamma_0(N)\)-optimal