Elliptic curve isogeny class with Cremona label 3920bj (LMFDB label 3920.bk)

• Label: 3920bj
• Number of curves: $2$
• Conductor: $3920$
• CM: no
• Rank: $0$

Elliptic curves in class 3920bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3920.bk1	3920bj1	\([0, 0, 0, -2107, 37226]\)	\(-5154200289/20\)	\(-4014080\)	\([]\)	\(2880\)	\(0.48032\)	\(\Gamma_0(N)\)-optimal
3920.bk2	3920bj2	\([0, 0, 0, 14693, -353206]\)	\(1747829720511/1280000000\)	\(-256901120000000\)	\([]\)	\(20160\)	\(1.4533\)

Rank

The elliptic curves in class 3920bj have rank \(0\).

Complex multiplication

The elliptic curves in class 3920bj do not have complex multiplication.

Modular form 3920.2.a.bj

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.