Elliptic Curve Isogeny Class with Cremona label 40425y (LMFDB label 40425.p)

• Label: 40425y
• Number of curves: 4
• Conductor: 40425
• CM: no
• Rank: 1

Elliptic curves in class 40425y

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
40425.p3	40425y1	[1, 1, 1, -7988, 269156]	[2]	55296	\(\Gamma_0(N)\)-optimal
40425.p2	40425y2	[1, 1, 1, -14113, -208594]	[2, 2]	110592
40425.p4	40425y3	[1, 1, 1, 53262, -1556094]	[2]	221184
40425.p1	40425y4	[1, 1, 1, -179488, -29314594]	[2]	221184

Rank

The elliptic curves in class 40425y have rank \(1\).

Modular form 40425.2.a.p

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.