Elliptic Curve Isogeny Class with Cremona label 33600ce (LMFDB label 33600.ej)

• Label: 33600ce
• Number of curves: 4
• Conductor: 33600
• CM: no
• Rank: 0

Elliptic curves in class 33600ce

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
33600.ej3	33600ce1	[0, 1, 0, -4033, 92063]	[2]	49152	\(\Gamma_0(N)\)-optimal
33600.ej2	33600ce2	[0, 1, 0, -12033, -395937]	[2, 2]	98304
33600.ej4	33600ce3	[0, 1, 0, 27967, -2435937]	[2]	196608
33600.ej1	33600ce4	[0, 1, 0, -180033, -29459937]	[2]	196608

Rank

The elliptic curves in class 33600ce have rank \(0\).

Modular form 33600.2.a.ej

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.