Elliptic curve isogeny class with LMFDB label 39984.f (Cremona label 39984bx)

• Label: 39984.f
• Number of curves: $1$
• Conductor: $39984$
• CM: no
• Rank: $1$

Elliptic curves in class 39984.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
39984.f1	39984bx1	\([0, -1, 0, 768, -27264]\)	\(103823/714\)	\(-344069677056\)	\([]\)	\(46080\)	\(0.89535\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 39984.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 39984.f do not have complex multiplication.

Modular form 39984.2.a.f