Elliptic curve isogeny class with LMFDB label 163170.k (Cremona label 163170fv)

• Label: 163170.k
• Number of curves: $1$
• Conductor: $163170$
• CM: no
• Rank: $2$

Elliptic curves in class 163170.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
163170.k1	163170fv1	\([1, -1, 0, -5175, 144605]\)	\(-1655175675789/189440\)	\(-1754403840\)	\([]\)	\(153600\)	\(0.80101\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 163170.k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 163170.k do not have complex multiplication.

Modular form 163170.2.a.k