Elliptic curve isogeny class with LMFDB label 73997.f (Cremona label 73997d)

• Label: 73997.f
• Number of curves: $1$
• Conductor: $73997$
• CM: no
• Rank: $1$

Elliptic curves in class 73997.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
73997.f1	73997d1	\([0, 0, 1, 1922, -7448]\)	\(884736/539\)	\(-478364484059\)	\([]\)	\(122760\)	\(0.93034\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 73997.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 73997.f do not have complex multiplication.

Modular form 73997.2.a.f