Elliptic curve isogeny class with Cremona label 124215bj (LMFDB label 124215.d)

• Label: 124215bj
• Number of curves: $1$
• Conductor: $124215$
• CM: no
• Rank: $1$

Rank

The elliptic curve 124215bj1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T^{2}\)	1.2.a
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 124215bj do not have complex multiplication.

Modular form 124215.2.a.bj

Elliptic curves in class 124215bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
124215.d1	124215bj1	\([0, -1, 1, 210180, 52112738]\)	\(3669905408/6328125\)	\(-1770581767308046875\)	\([]\)	\(2795520\)	\(2.1864\)	\(\Gamma_0(N)\)-optimal