Elliptic curve isogeny class with LMFDB label 163.a (Cremona label 163a)

• Label: 163.a
• Number of curves: $1$
• Conductor: $163$
• CM: no
• Rank: $1$

Elliptic curves in class 163.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
163.a1	163a1	\([0, 0, 1, -2, 1]\)	\(-884736/163\)	\(-163\)	\([]\)	\(6\)	\(-0.85086\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 163.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 163.a do not have complex multiplication.

Modular form 163.2.a.a