Elliptic curve isogeny class with LMFDB label 709.a (Cremona label 709a)

• Label: 709.a
• Number of curves: $1$
• Conductor: $709$
• CM: no
• Rank: $2$

Elliptic curves in class 709.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
709.a1	709a1	\([0, -1, 1, -2, 0]\)	\(1404928/709\)	\(709\)	\([]\)	\(44\)	\(-0.76041\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 709.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 709.a do not have complex multiplication.

Modular form 709.2.a.a