Elliptic curve isogeny class with Cremona label 6327c (LMFDB label 6327.b)

• Label: 6327c
• Number of curves: $1$
• Conductor: $6327$
• CM: no
• Rank: $1$

Rank

The elliptic curve 6327c1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(19\)	\(1 - T\)
\(37\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - T + 2 T^{2}\)	1.2.ab
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 6327c do not have complex multiplication.

Modular form 6327.2.a.c

Elliptic curves in class 6327c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6327.b1	6327c1	\([0, 0, 1, -6624, -28546]\)	\(44091731607552/25033168477\)	\(18249179819733\)	\([]\)	\(10080\)	\(1.2345\)	\(\Gamma_0(N)\)-optimal