Elliptic curve isogeny class with Cremona label 574a (LMFDB label 574.b)

• Label: 574a
• Number of curves: $1$
• Conductor: $574$
• CM: no
• Rank: $1$

Elliptic curves in class 574a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
574.b1	574a1	\([1, 1, 0, -2, -2]\)	\(1771561/574\)	\(574\)	\([]\)	\(24\)	\(-0.76726\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 574a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 574a do not have complex multiplication.

Modular form 574.2.a.a