Elliptic curve isogeny class with LMFDB label 32192.l (Cremona label 32192c)

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

Elliptic curves in class 32192.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.l1	32192c1	\([0, -1, 0, -97, 2273]\)	\(-389017/8048\)	\(-2109734912\)	\([]\)	\(9216\)	\(0.47004\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 32192.l1 has rank \(1\).

Complex multiplication

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

Modular form 32192.2.a.l