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

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

Elliptic curves in class 1638.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1638.n1	1638k1	\([1, -1, 1, 82, -835]\)	\(2284322013/11927552\)	\(-322043904\)	\([]\)	\(544\)	\(0.31467\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1638.n1 has rank \(1\).

Complex multiplication

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

Modular form 1638.2.a.n