Elliptic curve isogeny class with Cremona label 12789k (LMFDB label 12789.n)

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

Elliptic curves in class 12789k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12789.n1	12789k1	\([0, 0, 1, -21, -135]\)	\(-4096/29\)	\(-7251363\)	\([]\)	\(2880\)	\(-0.00041802\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12789k1 has rank \(1\).

Complex multiplication

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

Modular form 12789.2.a.k