Elliptic curve isogeny class with LMFDB label 7360.h (Cremona label 7360s)

• Label: 7360.h
• Number of curves: $1$
• Conductor: $7360$
• CM: no
• Rank: $1$

Rank

The elliptic curve 7360.h1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 + T\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(29\)	\( 1 - 7 T + 29 T^{2}\)	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7360.h do not have complex multiplication.

Modular form 7360.2.a.h

Elliptic curves in class 7360.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7360.h1	7360s1	\([0, -1, 0, -41, -95]\)	\(-7626496/575\)	\(-588800\)	\([]\)	\(768\)	\(-0.14448\)	\(\Gamma_0(N)\)-optimal