Elliptic curve isogeny class with LMFDB label 32192.z (Cremona label 32192s)

• Label: 32192.z
• Number of curves: $1$
• Conductor: $32192$
• CM: no
• Rank: $0$

Elliptic curves in class 32192.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.z1	32192s1	\([0, 1, 0, -13441, 595327]\)	\(-1024497361441/503\)	\(-131858432\)	\([]\)	\(51200\)	\(0.89288\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 32192.z1 has rank \(0\).

Complex multiplication

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

Modular form 32192.2.a.z