Elliptic curve isogeny class with LMFDB label 3328.k (Cremona label 3328e)

• Label: 3328.k
• Number of curves: $1$
• Conductor: $3328$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3328.k1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 3 T + 3 T^{2}\)	1.3.ad
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 10 T + 29 T^{2}\)	1.29.k
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3328.k do not have complex multiplication.

Modular form 3328.2.a.k

Isogeny graph

Elliptic curves in class 3328.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3328.k1	3328e1	\([0, 0, 0, -118, -496]\)	\(-354894912/2197\)	\(-1124864\)	\([]\)	\(1152\)	\(-0.00042845\)	\(\Gamma_0(N)\)-optimal