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

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

Elliptic curves in class 1638.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1638.k1	1638r1	\([1, -1, 1, -41477, -3246595]\)	\(-10824513276632329/21926008832\)	\(-15984060438528\)	\([]\)	\(9240\)	\(1.4205\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1638.k1 has rank \(0\).

Complex multiplication

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

Modular form 1638.2.a.k