Elliptic curve isogeny class with Cremona label 11466h (LMFDB label 11466.f)

• Label: 11466h
• Number of curves: $1$
• Conductor: $11466$
• CM: no
• Rank: $1$

Rank

The elliptic curve 11466h1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(7\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 11466h do not have complex multiplication.

Modular form 11466.2.a.h

Elliptic curves in class 11466h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11466.f1	11466h1	\([1, -1, 0, -1653171, 820012661]\)	\(-215773279370739/447469568\)	\(-1036198686048454656\)	\([]\)	\(253440\)	\(2.3427\)	\(\Gamma_0(N)\)-optimal