Elliptic curve isogeny class with LMFDB label 336675.d (Cremona label 336675d)

• Label: 336675.d
• Number of curves: $1$
• Conductor: $336675$
• CM: no
• Rank: $0$

Rank

The elliptic curve 336675.d1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(67\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 336675.d do not have complex multiplication.

Modular form 336675.2.a.d

Elliptic curves in class 336675.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
336675.d1	336675d1	\([0, -1, 1, 187042, -31739932]\)	\(512000/603\)	\(-852287569498546875\)	\([]\)	\(7755264\)	\(2.1268\)	\(\Gamma_0(N)\)-optimal