Elliptic curve isogeny class with LMFDB label 10800.bz (Cremona label 10800z)

• Label: 10800.bz
• Number of curves: $1$
• Conductor: $10800$
• CM: no
• Rank: $0$

Rank

The elliptic curve 10800.bz1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 10800.bz do not have complex multiplication.

Modular form 10800.2.a.bz

Elliptic curves in class 10800.bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10800.bz1	10800z1	\([0, 0, 0, -675, 23625]\)	\(-768/5\)	\(-221433750000\)	\([]\)	\(6912\)	\(0.86040\)	\(\Gamma_0(N)\)-optimal