Elliptic curve isogeny class with LMFDB label 7935.h (Cremona label 7935e)

• Label: 7935.h
• Number of curves: $1$
• Conductor: $7935$
• CM: no
• Rank: $1$

Rank

The elliptic curve 7935.h1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T^{2}\)	1.2.a
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(29\)	\( 1 + 10 T + 29 T^{2}\)	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7935.h do not have complex multiplication.

Modular form 7935.2.a.h

Elliptic curves in class 7935.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7935.h1	7935e1	\([0, -1, 1, -15, 11]\)	\(753664/405\)	\(214245\)	\([]\)	\(768\)	\(-0.28594\)	\(\Gamma_0(N)\)-optimal