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 structure	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]	[2, 2]	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 \(1\).

Complex multiplication

The elliptic curves in class 210d do not have complex multiplication.

Modular form 210.2.a.d

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.