Elliptic Curve Isogeny Class with Cremona label 143745g (LMFDB label 143745.j)

• Label: 143745g
• Number of curves: 4
• Conductor: 143745
• CM: no
• Rank: 1

Elliptic curves in class 143745g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
143745.j3	143745g1	[1, 0, 0, -3451, 73640]	[2]	207360	\(\Gamma_0(N)\)-optimal
143745.j2	143745g2	[1, 0, 0, -10296, -311049]	[2, 2]	414720
143745.j4	143745g3	[1, 0, 0, 23929, -1933314]	[2]	829440
143745.j1	143745g4	[1, 0, 0, -154041, -23281500]	[2]	829440

Rank

The elliptic curves in class 143745g have rank \(1\).

Modular form 143745.2.a.j

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.