Elliptic curve isogeny class with LMFDB label 643.a (Cremona label 643a)

• Label: 643.a
• Number of curves: $1$
• Conductor: $643$
• CM: no
• Rank: $2$

Elliptic curves in class 643.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
643.a1	643a1	\([1, 0, 0, -4, 3]\)	\(-7189057/643\)	\(-643\)	\([]\)	\(32\)	\(-0.71774\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 643.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 643.a do not have complex multiplication.

Modular form 643.2.a.a