Elliptic Curve Isogeny Class with LMFDB label 6930.n (Cremona label 6930e)

• Label: 6930.n
• Number of curves: 4
• Conductor: 6930
• CM: no
• Rank: 1

Elliptic curves in class 6930.n

LMFDB label	Cremona label	Weierstrass coefficients	Torsion order	Modular degree	Optimality
6930.n1	6930e4	[1, -1, 0, -40839, -2960515]	2	41472
6930.n2	6930e2	[1, -1, 0, -7764, 264420]	6	13824
6930.n3	6930e1	[1, -1, 0, -264, 7920]	6	6912	\(\Gamma_0(N)\)-optimal
6930.n4	6930e3	[1, -1, 0, 2361, -204355]	2	20736

Rank

The elliptic curves in class 6930.n have rank \(1\).

Modular form 6930.2.a.n

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.