Elliptic curve isogeny class with LMFDB label 1638.r (Cremona label 1638p)

• Label: 1638.r
• Number of curves: $1$
• Conductor: $1638$
• CM: no
• Rank: $0$

Elliptic curves in class 1638.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1638.r1	1638p1	\([1, -1, 1, -977, 12147]\)	\(-141339344329/2167074\)	\(-1579796946\)	\([]\)	\(960\)	\(0.56748\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1638.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1638.r do not have complex multiplication.

Modular form 1638.2.a.r