Elliptic curve isogeny class with Cremona label 7440f (LMFDB label 7440.s)

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

Elliptic curves in class 7440f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7440.s1	7440f1	$[0, 1, 0, -256, 1940]$	$-909513218/338985$	$-694241280$	$[]$	$3136$	$0.40656$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 7440f1 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 $\mathbb{F}_p$
$7$	$1 + 4 T + 7 T^{2}$	1.7.e
$11$	$1 + 6 T + 11 T^{2}$	1.11.g
$13$	$1 + 6 T + 13 T^{2}$	1.13.g
$17$	$1 + 4 T + 17 T^{2}$	1.17.e
$19$	$1 + 19 T^{2}$	1.19.a
$23$	$1 + 6 T + 23 T^{2}$	1.23.g
$29$	$1 - 4 T + 29 T^{2}$	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 7440.2.a.f