Elliptic curve isogeny class with LMFDB label 32192.j (Cremona label 32192bc)

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

Elliptic curves in class 32192.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.j1	32192bc1	\([0, -1, 0, 47, -79]\)	\(686000/503\)	\(-8241152\)	\([]\)	\(6144\)	\(0.015350\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 32192.j1 has rank \(1\).

Complex multiplication

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

Modular form 32192.2.a.j