Elliptic curve isogeny class with Cremona label 149454ca (LMFDB label 149454.v)

• Label: 149454ca
• Number of curves: $1$
• Conductor: $149454$
• CM: no
• Rank: $2$

Rank

The elliptic curve 149454ca1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(19\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 149454ca do not have complex multiplication.

Modular form 149454.2.a.ca

Elliptic curves in class 149454ca

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
149454.v1	149454ca1	\([1, -1, 0, -1692, 15664]\)	\(5640625/2208\)	\(209768851872\)	\([]\)	\(138240\)	\(0.87109\)	\(\Gamma_0(N)\)-optimal