Elliptic Curve Isogeny Class with Cremona label 20a (LMFDB label 20.a)

• Label: 20a
• Number of curves: 4
• Conductor: 20
• CM: no
• Rank: 0

Elliptic curves in class 20a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
20.a4	20a1	[0, 1, 0, 4, 4]	[6]	1	\(\Gamma_0(N)\)-optimal
20.a3	20a2	[0, 1, 0, -1, 0]	[6]	2
20.a2	20a3	[0, 1, 0, -36, -140]	[2]	3
20.a1	20a4	[0, 1, 0, -41, -116]	[2]	6

Rank

The elliptic curves in class 20a have rank \(0\).

Modular form 20.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.