Elliptic curve isogeny class with Cremona label 124800db (LMFDB label 124800.dj)

• Label: 124800db
• Number of curves: $1$
• Conductor: $124800$
• CM: no
• Rank: $2$

Rank

The elliptic curve 124800db1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 124800db do not have complex multiplication.

Modular form 124800.2.a.db

Elliptic curves in class 124800db

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
124800.dj1	124800db1	\([0, 1, 0, -997833, 383329863]\)	\(-21459903980300000/812017791\)	\(-4157531089920000\)	\([]\)	\(1532160\)	\(2.0830\)	\(\Gamma_0(N)\)-optimal