Elliptic curve isogeny class with LMFDB label 159936.y (Cremona label 159936il)

• Label: 159936.y
• Number of curves: $2$
• Conductor: $159936$
• CM: no
• Rank: $1$

Elliptic curves in class 159936.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
159936.y1	159936il2	\([0, -1, 0, -1447968097, -6069944496671]\)	\(222165413800219579417/118033833938006016\)	\(178373673332152996735959957504\)	\([]\)	\(243855360\)	\(4.3042\)
159936.y2	159936il1	\([0, -1, 0, -834519457, 9279100581409]\)	\(42531320912955257257/1127938881456\)	\(1704550253659797653028864\)	\([]\)	\(81285120\)	\(3.7549\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 159936.y have rank \(1\).

Complex multiplication

The elliptic curves in class 159936.y do not have complex multiplication.

Modular form 159936.2.a.y

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.