Elliptic curve isogeny class with Cremona label 493680k (LMFDB label 493680.k)

• Label: 493680k
• Number of curves: $1$
• Conductor: $493680$
• CM: no
• Rank: $1$

Elliptic curves in class 493680k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
493680.k1	493680k1	\([0, -1, 0, -5543776, -6105770240]\)	\(-2596717791529849/718080000000\)	\(-5210613853716480000000\)	\([]\)	\(40642560\)	\(2.8829\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 493680k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 493680k do not have complex multiplication.

Modular form 493680.2.a.k