Elliptic curve isogeny class with Cremona label 177744c (LMFDB label 177744.bz)

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

Elliptic curves in class 177744c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177744.bz1	177744c1	\([0, 1, 0, -43433192, -110732183244]\)	\(-14943832855786297/85501108224\)	\(-51844024592077009453056\)	\([]\)	\(19768320\)	\(3.2003\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 177744c1 has rank \(1\).

Complex multiplication

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

Modular form 177744.2.a.c