Elliptic curve isogeny class with LMFDB label 366912.ca (Cremona label 366912ca)

• Label: 366912.ca
• Number of curves: $1$
• Conductor: $366912$
• CM: no
• Rank: $1$

Rank

The elliptic curve 366912.ca1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 366912.ca do not have complex multiplication.

Modular form 366912.2.a.ca

Elliptic curves in class 366912.ca

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
366912.ca1	366912ca1	\([0, 0, 0, -1158654, -480041534]\)	\(-91368216064/13\)	\(-24475592546496\)	\([]\)	\(3440640\)	\(1.9790\)	\(\Gamma_0(N)\)-optimal