# Properties

 Base field $$\Q(\sqrt{57})$$ Label 2.2.57.1-192.1-g Conductor 192.1 Rank not recorded

# Related objects

## Base field $$\Q(\sqrt{57})$$

Generator $$a$$, with minimal polynomial $$x^{2} - x - 14$$; class number $$1$$.

## Elliptic curves in class 192.1-g over $$\Q(\sqrt{57})$$

Isogeny class 192.1-g contains 6 curves linked by isogenies of degrees dividing 8.

## Rank

Rank not yet determined.

## Isogeny matrix

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

## Isogeny graph
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