Elliptic curve isogeny class with Cremona label 66300s (LMFDB label 66300.n)

• Label: 66300s
• Number of curves: $1$
• Conductor: $66300$
• CM: no
• Rank: $0$

Rank

The elliptic curve 66300s1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(13\)	\(1 + T\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 66300s do not have complex multiplication.

Modular form 66300.2.a.s

Elliptic curves in class 66300s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
66300.n1	66300s1	\([0, -1, 0, 545542, -52956963]\)	\(574589213531392/371019688299\)	\(-11594365259343750000\)	\([]\)	\(1370880\)	\(2.3470\)	\(\Gamma_0(N)\)-optimal