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

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

## Elliptic curves in class 77841.1-CMb over \(\Q(\sqrt{-3}) \)

Isogeny class 77841.1-CMb contains only one elliptic curve.

Curve label | Weierstrass Coefficients |
---|---|

77841.1-CMb1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -3 a + 8\bigr] \) |

## Rank

**Rank:**\( 0 \)

## Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)