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

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

Elliptic curves in class 32192.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.e1	32192j1	\([0, -1, 0, -9, 73]\)	\(-21952/503\)	\(-2060288\)	\([]\)	\(2304\)	\(-0.10772\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 32192.e1 has rank \(2\).

Complex multiplication

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

Modular form 32192.2.a.e