Elliptic curve isogeny class with Cremona label 2736o (LMFDB label 2736.j)

• Label: 2736o
• Number of curves: $2$
• Conductor: $2736$
• CM: no
• Rank: $1$

Elliptic curves in class 2736o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2736.j1	2736o1	\([0, 0, 0, -13755, -620822]\)	\(96386901625/18468\)	\(55145152512\)	\([2]\)	\(3840\)	\(1.0618\)	\(\Gamma_0(N)\)-optimal
2736.j2	2736o2	\([0, 0, 0, -12315, -755894]\)	\(-69173457625/42633378\)	\(-127302584573952\)	\([2]\)	\(7680\)	\(1.4083\)

Rank

The elliptic curves in class 2736o have rank \(1\).

Complex multiplication

The elliptic curves in class 2736o do not have complex multiplication.

Modular form 2736.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.