Elliptic curve isogeny class with LMFDB label 12789.a (Cremona label 12789b)

• Label: 12789.a
• Number of curves: $1$
• Conductor: $12789$
• CM: no
• Rank: $2$

Elliptic curves in class 12789.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12789.a1	12789b1	\([0, 0, 1, -147, 9616]\)	\(-200704/22707\)	\(-39744720603\)	\([]\)	\(20160\)	\(0.71330\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12789.a1 has rank \(2\).

Complex multiplication

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

Modular form 12789.2.a.a