Elliptic curve isogeny class with Cremona label 80080bb (LMFDB label 80080.a)

• Label: 80080bb
• Number of curves: $1$
• Conductor: $80080$
• CM: no
• Rank: $0$

Rank

The elliptic curve 80080bb1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 - T\)
\(7\)	\(1 + T\)
\(11\)	\(1 + T\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 8 T + 19 T^{2}\)	1.19.ai
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 80080bb do not have complex multiplication.

Modular form 80080.2.a.bb

Elliptic curves in class 80080bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
80080.a1	80080bb1	\([0, 0, 0, -315643, 68310058]\)	\(-849087117004123089/775174400000\)	\(-3175114342400000\)	\([]\)	\(1140480\)	\(1.8983\)	\(\Gamma_0(N)\)-optimal