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

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

Elliptic curves in class 12789.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12789.l1	12789e1	\([1, -1, 0, -9, -16794]\)	\(-1/1421\)	\(-121873657941\)	\([]\)	\(11520\)	\(0.80607\)	\(\Gamma_0(N)\)-optimal

Rank

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

Complex multiplication

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

Modular form 12789.2.a.l