Elliptic curve isogeny class with LMFDB label 1525.b (Cremona label 1525a)

• Label: 1525.b
• Number of curves: $1$
• Conductor: $1525$
• CM: no
• Rank: $1$

Elliptic curves in class 1525.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1525.b1	1525a1	\([1, 1, 0, -50, 125]\)	\(-912673/61\)	\(-953125\)	\([]\)	\(216\)	\(-0.10074\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1525.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1525.b do not have complex multiplication.

Modular form 1525.2.a.b