Elliptic curve isogeny class with LMFDB label 1725.k (Cremona label 1725a)

• Label: 1725.k
• Number of curves: $1$
• Conductor: $1725$
• CM: no
• Rank: $1$

Elliptic curves in class 1725.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1725.k1	1725a1	\([0, -1, 1, -33, 218]\)	\(-262144/1035\)	\(-16171875\)	\([]\)	\(384\)	\(0.068640\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1725.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1725.k do not have complex multiplication.

Modular form 1725.2.a.k