Elliptic curve isogeny class with LMFDB label 177870.f (Cremona label 177870ii)

• Label: 177870.f
• Number of curves: $1$
• Conductor: $177870$
• CM: no
• Rank: $1$

Elliptic curves in class 177870.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177870.f1	177870ii1	\([1, 1, 0, 12582, -520428]\)	\(43858518737/49152000\)	\(-246834610176000\)	\([]\)	\(744192\)	\(1.4481\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 177870.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177870.f do not have complex multiplication.

Modular form 177870.2.a.f