Elliptic curve isogeny class with LMFDB label 122694.cn (Cremona label 122694bt)

• Label: 122694.cn
• Number of curves: $1$
• Conductor: $122694$
• CM: no
• Rank: $0$

Rank

The elliptic curve 122694.cn1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 + T\)
\(11\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 122694.cn do not have complex multiplication.

Modular form 122694.2.a.cn

Elliptic curves in class 122694.cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
122694.cn1	122694bt1	\([1, 1, 1, -11580, -416811]\)	\(158171/24\)	\(26057702151624\)	\([]\)	\(449280\)	\(1.2982\)	\(\Gamma_0(N)\)-optimal