Elliptic curve isogeny class with LMFDB label 336336.de (Cremona label 336336de)

• Label: 336336.de
• Number of curves: $1$
• Conductor: $336336$
• CM: no
• Rank: $2$

Rank

The elliptic curve 336336.de1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(7\)	\(1\)
\(11\)	\(1 + T\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 336336.de do not have complex multiplication.

Modular form 336336.2.a.de

Elliptic curves in class 336336.de

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
336336.de1	336336de1	\([0, -1, 0, -36080, 2785728]\)	\(-10779215329/658944\)	\(-317538724478976\)	\([]\)	\(1140480\)	\(1.5373\)	\(\Gamma_0(N)\)-optimal