Elliptic curve isogeny class 146692.6-b over number field Q(−3)\Q(\sqrt{-3})

• Base field: $\Q(\sqrt{-3})$
• Label: 2.0.3.1-146692.6-b
• Conductor: 146692.6
• Rank: $1$

Base field $\Q(\sqrt{-3})$

Generator $a$, with minimal polynomial $x^{2} - x + 1$; class number $1$.

Rank

Rank: $1$

Isogeny matrix

$\left(\begin{array}{rrrrr} 1 & 3 & 3 & 3 & 3 \\ 3 & 1 & 9 & 9 & 9 \\ 3 & 9 & 1 & 9 & 9 \\ 3 & 9 & 9 & 1 & 9 \\ 3 & 9 & 9 & 9 & 1 \end{array}\right)$

Isogeny graph

Elliptic curves in class 146692.6-b over $\Q(\sqrt{-3})$

Isogeny class 146692.6-b contains 5 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
146692.6-b1	$\bigl[a$ , $a - 1$ , $a$ , $-255 a + 335$ , $-532 a - 2122\bigr]$
146692.6-b2	$\bigl[a$ , $a - 1$ , $a$ , $2075 a - 2485$ , $-9022 a + 29784\bigr]$
146692.6-b3	$\bigl[a$ , $a - 1$ , $a$ , $40 a + 65$ , $353 a - 397\bigr]$
146692.6-b4	$\bigl[a$ , $a - 1$ , $a$ , $-4175 a - 3095$ , $-177982 a - 25782\bigr]$
146692.6-b5	$\bigl[a$ , $a - 1$ , $a$ , $-22560 a + 28455$ , $-532657 a - 1274643\bigr]$