Elliptic curve isogeny class with Cremona label 71094z (LMFDB label 71094.y)

• Label: 71094z
• Number of curves: $1$
• Conductor: $71094$
• CM: no
• Rank: $0$

Rank

The elliptic curve 71094z1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(17\)	\(1\)
\(41\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 + 7 T + 13 T^{2}\)	1.13.h
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 71094z do not have complex multiplication.

Modular form 71094.2.a.z

Elliptic curves in class 71094z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
71094.y1	71094z1	\([1, 0, 0, -37576, 18948044]\)	\(-243087455521/6287126796\)	\(-151755956850198924\)	\([]\)	\(1036800\)	\(1.9774\)	\(\Gamma_0(N)\)-optimal