Elliptic Curve Isogeny Class with Cremona label 6930g (LMFDB label 6930.a)

• Label: 6930g
• Number of curves: 6
• Conductor: 6930
• CM: no
• Rank: 1

Elliptic curves in class 6930g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion order	Modular degree	Optimality
6930.a5	6930g1	[1, -1, 0, 315, -25259]	2	8192	\(\Gamma_0(N)\)-optimal
6930.a4	6930g2	[1, -1, 0, -11205, -437675]	4	16384
6930.a2	6930g3	[1, -1, 0, -177525, -28745339]	2	32768
6930.a3	6930g4	[1, -1, 0, -29205, 1337125]	4	32768
6930.a1	6930g5	[1, -1, 0, -426105, 107150665]	2	65536
6930.a6	6930g6	[1, -1, 0, 79695, 8894785]	2	65536

Rank

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

Modular form 6930.2.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.

\(\left(\begin{array}{rrrrrr} 1 & 2 & 4 & 4 & 8 & 8 \\ 2 & 1 & 2 & 2 & 4 & 4 \\ 4 & 2 & 1 & 4 & 8 & 8 \\ 4 & 2 & 4 & 1 & 2 & 2 \\ 8 & 4 & 8 & 2 & 1 & 4 \\ 8 & 4 & 8 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.