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

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

Elliptic curves in class 4140.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4140.e1	4140k1	\([0, 0, 0, 6902448, -3048337996]\)	\(194879272239195815936/134287459716796875\)	\(-25061262882187500000000\)	\([]\)	\(349440\)	\(2.9866\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4140.e1 has rank \(1\).

Complex multiplication

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

Modular form 4140.2.a.e