Elliptic curve isogeny class with Cremona label 49725k (LMFDB label 49725.c)

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

Elliptic curves in class 49725k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
49725.c1	49725k1	\([0, 0, 1, -46875, -2189844]\)	\(1600000000/634933\)	\(4520177314453125\)	\([]\)	\(432000\)	\(1.7023\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 49725k1 has rank \(1\).

Complex multiplication

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

Modular form 49725.2.a.k