Elliptic Curve Isogeny Class with Cremona label 7935b (LMFDB label 7935.d)

• Label: 7935b
• Number of curves: 8
• Conductor: 7935
• CM: no
• Rank: 0

Elliptic curves in class 7935b

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
7935.d7	7935b1	[1, 1, 1, -11, -2272]	[2]	3168	\(\Gamma_0(N)\)-optimal
7935.d6	7935b2	[1, 1, 1, -2656, -53056]	[2, 2]	6336
7935.d4	7935b3	[1, 1, 1, -42331, -3369886]	[2]	12672
7935.d5	7935b4	[1, 1, 1, -5301, 66498]	[2, 2]	12672
7935.d2	7935b5	[1, 1, 1, -71426, 7313798]	[2, 2]	25344
7935.d8	7935b6	[1, 1, 1, 18504, 523554]	[2]	25344
7935.d1	7935b7	[1, 1, 1, -1142651, 469654508]	[2]	50688
7935.d3	7935b8	[1, 1, 1, -58201, 10122788]	[2]	50688

Rank

The elliptic curves in class 7935b have rank \(0\).

Modular form 7935.2.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.

\(\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 4 & 8 & 8 & 16 & 16 \\ 2 & 1 & 2 & 2 & 4 & 4 & 8 & 8 \\ 4 & 2 & 1 & 4 & 8 & 8 & 16 & 16 \\ 4 & 2 & 4 & 1 & 2 & 2 & 4 & 4 \\ 8 & 4 & 8 & 2 & 1 & 4 & 2 & 2 \\ 8 & 4 & 8 & 2 & 4 & 1 & 8 & 8 \\ 16 & 8 & 16 & 4 & 2 & 8 & 1 & 4 \\ 16 & 8 & 16 & 4 & 2 & 8 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.