Elliptic curve isogeny class with LMFDB label 330676.e (Cremona label 330676e)

• Label: 330676.e
• Number of curves: $1$
• Conductor: $330676$
• CM: no
• Rank: $1$

Rank

The elliptic curve 330676.e1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(19\)	\(1\)
\(229\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 3 T + 3 T^{2}\)	1.3.ad
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 330676.e do not have complex multiplication.

Modular form 330676.2.a.e

Elliptic curves in class 330676.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
330676.e1	330676e1	\([0, 0, 0, -1444, -6859]\)	\(442368/229\)	\(172376107984\)	\([]\)	\(891000\)	\(0.84809\)	\(\Gamma_0(N)\)-optimal