Elliptic curve isogeny class with LMFDB label 1638.a (Cremona label 1638f)

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

Elliptic curves in class 1638.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1638.a1	1638f1	\([1, -1, 0, -904356, 333142096]\)	\(-112205650221491190337/745029571313664\)	\(-543126557487661056\)	\([]\)	\(38080\)	\(2.2386\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1638.a1 has rank \(0\).

Complex multiplication

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

Modular form 1638.2.a.a