Elliptic curve isogeny class with LMFDB label 12789.p (Cremona label 12789d)

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

Elliptic curves in class 12789.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12789.p1	12789d1	\([0, 0, 1, -13377, -385961]\)	\(62992384/21141\)	\(88845896638989\)	\([]\)	\(56448\)	\(1.3790\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12789.p1 has rank \(1\).

Complex multiplication

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

Modular form 12789.2.a.p