Elliptic curve isogeny class with LMFDB label 3536.e (Cremona label 3536j)

• Label: 3536.e
• Number of curves: $2$
• Conductor: $3536$
• CM: no
• Rank: $1$

Elliptic curves in class 3536.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3536.e1	3536j2	\([0, 0, 0, -19387, -1015830]\)	\(196741326427281/5020614352\)	\(20564436385792\)	\([2]\)	\(9216\)	\(1.3370\)
3536.e2	3536j1	\([0, 0, 0, -2747, 32490]\)	\(559679941521/212556032\)	\(870629507072\)	\([2]\)	\(4608\)	\(0.99044\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 3536.e have rank \(1\).

Complex multiplication

The elliptic curves in class 3536.e do not have complex multiplication.

Modular form 3536.2.a.e

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.