Elliptic curve isogeny class with LMFDB label 4140.k (Cremona label 4140j)

• Label: 4140.k
• Number of curves: $1$
• Conductor: $4140$
• CM: no
• Rank: $1$

Elliptic curves in class 4140.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4140.k1	4140j1	\([0, 0, 0, -657, -66231]\)	\(-2688885504/160908575\)	\(-1876837618800\)	\([]\)	\(5040\)	\(1.0349\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4140.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4140.k do not have complex multiplication.

Modular form 4140.2.a.k