Elliptic Curve Isogeny Class with Cremona label 210d (LMFDB label 210.a)

• Label: 210d
• Number of curves: 4
• Conductor: 210
• CM: no
• Rank: 1

Elliptic curves in class 210d

LMFDB label	Cremona label	Weierstrass coefficients	Torsion order	Modular degree	Optimality
210.a3	210d1	[1, 1, 0, -3, -3]	2	16	\(\Gamma_0(N)\)-optimal
210.a2	210d2	[1, 1, 0, -23, 33]	4	32
210.a1	210d3	[1, 1, 0, -373, 2623]	2	64
210.a4	210d4	[1, 1, 0, 7, 147]	2	64

Rank

The elliptic curves in class 210d have rank \(1\).

Modular form 210.2.a.a

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.