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 \(1\).

Complex multiplication

The elliptic curves in class 143745g do not have complex multiplication.

Modular form 143745.2.a.g

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.