Elliptic curve isogeny class with LMFDB label 61.a (Cremona label 61a)

• Label: 61.a
• Number of curves: $1$
• Conductor: $61$
• CM: no
• Rank: $1$

Elliptic curves in class 61.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
61.a1	61a1	\([1, 0, 0, -2, 1]\)	\(-912673/61\)	\(-61\)	\([]\)	\(2\)	\(-0.90546\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 61.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 61.a do not have complex multiplication.

Modular form 61.2.a.a