Elliptic curve isogeny class with Cremona label 33600y (LMFDB label 33600.dq)

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

Elliptic curves in class 33600y

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
33600.dq3	33600y1	[0, -1, 0, -5633, -100863]	[2]	73728	\(\Gamma_0(N)\)-optimal
33600.dq2	33600y2	[0, -1, 0, -37633, 2747137]	[2, 2]	147456
33600.dq4	33600y3	[0, -1, 0, 10367, 9227137]	[2]	294912
33600.dq1	33600y4	[0, -1, 0, -597633, 178027137]	[2]	294912

Rank

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

Complex multiplication

The elliptic curves in class 33600y do not have complex multiplication.

Modular form 33600.2.a.y

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.