Elliptic curve isogeny class with LMFDB label 32192.f (Cremona label 32192v)

• Label: 32192.f
• Number of curves: $1$
• Conductor: $32192$
• CM: no
• Rank: $2$

Elliptic curves in class 32192.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.f1	32192v1	\([0, -1, 0, -129, 673]\)	\(-3650692/503\)	\(-32964608\)	\([]\)	\(5120\)	\(0.17434\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 32192.f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 32192.f do not have complex multiplication.

Modular form 32192.2.a.f