Elliptic curve isogeny class with Cremona label 75810cy (LMFDB label 75810.cr)

• Label: 75810cy
• Number of curves: $4$
• Conductor: $75810$
• CM: no
• Rank: $0$

Elliptic curves in class 75810cy

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
75810.cr3	75810cy1	[1, 0, 0, -1271, 10905]	[2]	115200	\(\Gamma_0(N)\)-optimal
75810.cr2	75810cy2	[1, 0, 0, -8491, -293779]	[2, 2]	230400
75810.cr4	75810cy3	[1, 0, 0, 2339, -989065]	[2]	460800
75810.cr1	75810cy4	[1, 0, 0, -134841, -19069389]	[2]	460800

Rank

The elliptic curves in class 75810cy have rank \(0\).

Complex multiplication

The elliptic curves in class 75810cy do not have complex multiplication.

Modular form 75810.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.