Elliptic curve isogeny class with LMFDB label 574.h (Cremona label 574g)

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

Elliptic curves in class 574.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
574.h1	574g1	\([1, 1, 1, -21, -5]\)	\(1027243729/587776\)	\(587776\)	\([]\)	\(88\)	\(-0.20327\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 574.h1 has rank \(1\).

Complex multiplication

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

Modular form 574.2.a.h