Elliptic curve isogeny class with LMFDB label 148720.bj (Cremona label 148720br)

• Label: 148720.bj
• Number of curves: $1$
• Conductor: $148720$
• CM: no
• Rank: $1$

Rank

The elliptic curve 148720.bj1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 148720.bj do not have complex multiplication.

Modular form 148720.2.a.bj

Elliptic curves in class 148720.bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
148720.bj1	148720br1	\([0, 0, 0, 13, -91]\)	\(89856/1375\)	\(-3718000\)	\([]\)	\(13824\)	\(-0.058654\)	\(\Gamma_0(N)\)-optimal