Elliptic curve isogeny class with LMFDB label 177744.p (Cremona label 177744bp)

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

Elliptic curves in class 177744.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177744.p1	177744bp1	\([0, -1, 0, -18576, -599616]\)	\(327181002241/116169984\)	\(251715262611456\)	\([]\)	\(552960\)	\(1.4643\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 177744.p1 has rank \(1\).

Complex multiplication

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

Modular form 177744.2.a.p