Elliptic curve isogeny class with LMFDB label 11466.r (Cremona label 11466j)

• Label: 11466.r
• Number of curves: $1$
• Conductor: $11466$
• CM: no
• Rank: $0$

Rank

The elliptic curve 11466.r1 has rank \(0\).

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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 11466.2.a.r

Elliptic curves in class 11466.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11466.r1	11466j1	\([1, -1, 0, -34407, 4402957]\)	\(-1071912625/1364688\)	\(-5735155810627152\)	\([]\)	\(86016\)	\(1.7170\)	\(\Gamma_0(N)\)-optimal