Elliptic curve isogeny class with LMFDB label 32192.r (Cremona label 32192b)

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

Elliptic curves in class 32192.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.r1	32192b1	\([0, 1, 0, -9, -73]\)	\(-21952/503\)	\(-2060288\)	\([]\)	\(2304\)	\(-0.10772\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 32192.r1 has rank \(1\).

Complex multiplication

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

Modular form 32192.2.a.r