Elliptic curve isogeny class with LMFDB label 48672.bj (Cremona label 48672bs)

• Label: 48672.bj
• Number of curves: $4$
• Conductor: $48672$
• CM: no
• Rank: $1$

Elliptic curves in class 48672.bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
48672.bj1	48672bs4	\([0, 0, 0, -49179, 4196270]\)	\(7301384/3\)	\(5404790416896\)	\([2]\)	\(147456\)	\(1.4056\)
48672.bj2	48672bs3	\([0, 0, 0, -26364, -1616992]\)	\(140608/3\)	\(43238323335168\)	\([2]\)	\(147456\)	\(1.4056\)
48672.bj3	48672bs1	\([0, 0, 0, -3549, 43940]\)	\(21952/9\)	\(2026796406336\)	\([2, 2]\)	\(73728\)	\(1.0590\)	\(\Gamma_0(N)\)-optimal
48672.bj4	48672bs2	\([0, 0, 0, 11661, 320762]\)	\(97336/81\)	\(-145929341256192\)	\([2]\)	\(147456\)	\(1.4056\)

Rank

The elliptic curves in class 48672.bj have rank \(1\).

Complex multiplication

The elliptic curves in class 48672.bj do not have complex multiplication.

Modular form 48672.2.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 LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.