Elliptic curve isogeny class with LMFDB label 6300.z (Cremona label 6300l)

• Label: 6300.z
• Number of curves: $1$
• Conductor: $6300$
• CM: no
• Rank: $0$

Rank

The elliptic curve 6300.z1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 6300.z do not have complex multiplication.

Modular form 6300.2.a.z

Elliptic curves in class 6300.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6300.z1	6300l1	\([0, 0, 0, 9375, 165625]\)	\(800000/567\)	\(-64584843750000\)	\([]\)	\(11520\)	\(1.3384\)	\(\Gamma_0(N)\)-optimal