Elliptic curve isogeny class with LMFDB label 132800.bb (Cremona label 132800cr)

• Label: 132800.bb
• Number of curves: $1$
• Conductor: $132800$
• CM: no
• Rank: $0$

Rank

The elliptic curve 132800.bb1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(83\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 132800.bb do not have complex multiplication.

Modular form 132800.2.a.bb

Elliptic curves in class 132800.bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
132800.bb1	132800cr1	\([0, -1, 0, -140993, -20330303]\)	\(-47297644854745/84992\)	\(-557003571200\)	\([]\)	\(391680\)	\(1.5117\)	\(\Gamma_0(N)\)-optimal