Elliptic curve isogeny class with LMFDB label 32192.o (Cremona label 32192f)

• Label: 32192.o
• Number of curves: $2$
• Conductor: $32192$
• CM: no
• Rank: $0$

Elliptic curves in class 32192.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32192.o1	32192f2	\([0, 0, 0, -2060, 8176]\)	\(3687953625/2024072\)	\(530598330368\)	\([2]\)	\(24192\)	\(0.94044\)
32192.o2	32192f1	\([0, 0, 0, 500, 1008]\)	\(52734375/32192\)	\(-8438939648\)	\([2]\)	\(12096\)	\(0.59387\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 32192.o have rank \(0\).

Complex multiplication

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

Modular form 32192.2.a.o

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.