Elliptic curve isogeny class with Cremona label 163170eg (LMFDB label 163170.f)

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

Elliptic curves in class 163170eg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
163170.f1	163170eg1	\([1, -1, 0, -509805, -139983579]\)	\(-498111506983/23680\)	\(-696613018631040\)	\([]\)	\(1881600\)	\(1.9218\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 163170eg1 has rank \(2\).

Complex multiplication

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

Modular form 163170.2.a.eg