Elliptic curve isogeny class with LMFDB label 336600.dk (Cremona label 336600dk)

• Label: 336600.dk
• Number of curves: $1$
• Conductor: $336600$
• CM: no
• Rank: $1$

Rank

The elliptic curve 336600.dk1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1 - T\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 336600.dk do not have complex multiplication.

Modular form 336600.2.a.dk

Elliptic curves in class 336600.dk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
336600.dk1	336600dk1	\([0, 0, 0, -509700, -142715500]\)	\(-5022039141376/111166451\)	\(-324161371116000000\)	\([]\)	\(3225600\)	\(2.1488\)	\(\Gamma_0(N)\)-optimal