Elliptic curve isogeny class with Cremona label 67a (LMFDB label 67.a)

• Label: 67a
• Number of curves: $1$
• Conductor: $67$
• CM: no
• Rank: $0$

Elliptic curves in class 67a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
67.a1	67a1	\([0, 1, 1, -12, -21]\)	\(-207474688/67\)	\(-67\)	\([]\)	\(5\)	\(-0.67527\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 67a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67a do not have complex multiplication.

Modular form 67.2.a.a