Elliptic curve isogeny class with LMFDB label 122694.d (Cremona label 122694h)

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

Rank

The elliptic curve 122694.d1 has rank \(1\).

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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 122694.2.a.d

Elliptic curves in class 122694.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
122694.d1	122694h1	\([1, 1, 0, -94975806, 356224915116]\)	\(-49258558427/648\)	\(-1246395839798695456728\)	\([]\)	\(14826240\)	\(3.1919\)	\(\Gamma_0(N)\)-optimal