Elliptic curve isogeny class with LMFDB label 7410.x (Cremona label 7410w)

• Label: 7410.x
• Number of curves: $1$
• Conductor: $7410$
• CM: no
• Rank: $0$

Rank

The elliptic curve 7410.x1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(5\)	\(1 - T\)
\(13\)	\(1 + T\)
\(19\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7410.x do not have complex multiplication.

Modular form 7410.2.a.x

Elliptic curves in class 7410.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7410.x1	7410w1	\([1, 0, 0, -605, -6735]\)	\(-24492589315921/5129379840\)	\(-5129379840\)	\([]\)	\(9360\)	\(0.58491\)	\(\Gamma_0(N)\)-optimal