Elliptic curve isogeny class with LMFDB label 177744.r (Cremona label 177744bq)

• Label: 177744.r
• Number of curves: $1$
• Conductor: $177744$
• CM: no
• Rank: $1$

Elliptic curves in class 177744.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177744.r1	177744bq1	\([0, -1, 0, -373121, -85931916]\)	\(8667136/189\)	\(125273769910074576\)	\([]\)	\(1748736\)	\(2.0690\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 177744.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177744.r do not have complex multiplication.

Modular form 177744.2.a.r