Elliptic curve isogeny class with Cremona label 35490ct (LMFDB label 35490.cw)

• Label: 35490ct
• Number of curves: $4$
• Conductor: $35490$
• CM: no
• Rank: $0$

Elliptic curves in class 35490ct

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
35490.cw3	35490ct1	[1, 1, 1, -595, -3775]	[2]	36864	\(\Gamma_0(N)\)-optimal
35490.cw2	35490ct2	[1, 1, 1, -3975, 92217]	[2, 2]	73728
35490.cw4	35490ct3	[1, 1, 1, 1095, 317325]	[2]	147456
35490.cw1	35490ct4	[1, 1, 1, -63125, 6078197]	[2]	147456

Rank

The elliptic curves in class 35490ct have rank \(0\).

Complex multiplication

The elliptic curves in class 35490ct do not have complex multiplication.

Modular form 35490.2.a.ct

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.