Elliptic curve isogeny class with LMFDB label 54080.ba (Cremona label 54080cb)

• Label: 54080.ba
• Number of curves: $1$
• Conductor: $54080$
• CM: no
• Rank: $0$

Rank

The elliptic curve 54080.ba1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 54080.ba do not have complex multiplication.

Modular form 54080.2.a.ba

Elliptic curves in class 54080.ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
54080.ba1	54080cb1	\([0, -1, 0, -38081, -2839175]\)	\(7311616/25\)	\(20882706457600\)	\([]\)	\(159744\)	\(1.4193\)	\(\Gamma_0(N)\)-optimal