Elliptic curve isogeny class with Cremona label 12789l (LMFDB label 12789.c)

• Label: 12789l
• Number of curves: $1$
• Conductor: $12789$
• CM: no
• Rank: $1$

Elliptic curves in class 12789l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12789.c1	12789l1	\([0, 0, 1, -147, 684]\)	\(9834496/29\)	\(1035909\)	\([]\)	\(3744\)	\(0.024237\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12789l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12789l do not have complex multiplication.

Modular form 12789.2.a.l