Elliptic curve isogeny class with Cremona label 35904cy (LMFDB label 35904.bs)

• Label: 35904cy
• Number of curves: $2$
• Conductor: $35904$
• CM: no
• Rank: $0$

Elliptic curves in class 35904cy

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
35904.bs1	35904cy1	[0, 1, 0, -12545, 536319]	[2]	73728	\(\Gamma_0(N)\)-optimal
35904.bs2	35904cy2	[0, 1, 0, -9985, 764159]	[2]	147456

Rank

The elliptic curves in class 35904cy have rank \(0\).

Complex multiplication

The elliptic curves in class 35904cy do not have complex multiplication.

Modular form 35904.2.a.cy

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.