Elliptic curve isogeny class with Cremona label 3864d (LMFDB label 3864.e)

• Label: 3864d
• Number of curves: $2$
• Conductor: $3864$
• CM: no
• Rank: $0$

Elliptic curves in class 3864d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3864.e2	3864d1	\([0, 1, 0, 128, -592]\)	\(224727548/299943\)	\(-307141632\)	\([2]\)	\(1280\)	\(0.31437\)	\(\Gamma_0(N)\)-optimal
3864.e1	3864d2	\([0, 1, 0, -792, -6480]\)	\(26860713266/7394247\)	\(15143417856\)	\([2]\)	\(2560\)	\(0.66095\)

Rank

The elliptic curves in class 3864d have rank \(0\).

Complex multiplication

The elliptic curves in class 3864d do not have complex multiplication.

Modular form 3864.2.a.d

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.