Elliptic curve isogeny class with Cremona label 111188h (LMFDB label 111188.n)

• Label: 111188h
• Number of curves: $1$
• Conductor: $111188$
• CM: no
• Rank: $0$

Rank

The elliptic curve 111188h1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1 + T\)
\(11\)	\(1 - T\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 111188h do not have complex multiplication.

Modular form 111188.2.a.h

Elliptic curves in class 111188h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
111188.n1	111188h1	\([0, 1, 0, -7701, -290137]\)	\(-4194304/539\)	\(-6491578843904\)	\([]\)	\(171072\)	\(1.1920\)	\(\Gamma_0(N)\)-optimal