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

• Label: 32192.a
• Number of curves: $1$
• Conductor: $32192$
• CM: no
• Rank: $3$

Elliptic curves in class 32192.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.a1	32192e1	\([0, 0, 0, -52, 160]\)	\(-3796416/503\)	\(-2060288\)	\([]\)	\(18688\)	\(-0.055702\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 32192.a1 has rank \(3\).

Complex multiplication

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

Modular form 32192.2.a.a