Elliptic curve isogeny class with LMFDB label 149454.bj (Cremona label 149454a)

• Label: 149454.bj
• Number of curves: $1$
• Conductor: $149454$
• CM: no
• Rank: $1$

Rank

The elliptic curve 149454.bj1 has rank \(1\).

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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 4 T + 5 T^{2}\)	1.5.e
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 149454.2.a.bj

Elliptic curves in class 149454.bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
149454.bj1	149454a1	\([1, -1, 1, -29822, 1989645]\)	\(11145142527409/35328\)	\(9297234432\)	\([]\)	\(497664\)	\(1.1376\)	\(\Gamma_0(N)\)-optimal