Elliptic curve isogeny class with LMFDB label 49725.z (Cremona label 49725u)

• Label: 49725.z
• Number of curves: $1$
• Conductor: $49725$
• CM: no
• Rank: $1$

Elliptic curves in class 49725.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
49725.z1	49725u1	\([0, 0, 1, 11625, 369531]\)	\(122023936/112047\)	\(-159535669921875\)	\([]\)	\(241920\)	\(1.4126\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 49725.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 49725.z do not have complex multiplication.

Modular form 49725.2.a.z