Elliptic curve isogeny class with LMFDB label 66066.cu (Cremona label 66066cw)

• Label: 66066.cu
• Number of curves: $1$
• Conductor: $66066$
• CM: no
• Rank: $0$

Rank

The elliptic curve 66066.cu1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 66066.cu do not have complex multiplication.

Modular form 66066.2.a.cu

Elliptic curves in class 66066.cu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
66066.cu1	66066cw1	\([1, 0, 0, -910, 12068]\)	\(-47045881/8736\)	\(-15476356896\)	\([]\)	\(54000\)	\(0.67969\)	\(\Gamma_0(N)\)-optimal