# Properties

 Base field $$\Q(\sqrt{209})$$ Label 2.2.209.1-2.2-b Conductor 2.2 Rank not recorded

# Related objects

## Base field $$\Q(\sqrt{209})$$

Generator $$a$$, with minimal polynomial $$x^{2} - x - 52$$; class number $$1$$.

## Elliptic curves in class 2.2-b over $$\Q(\sqrt{209})$$

Isogeny class 2.2-b contains 2 curves linked by isogenies of degree 5.

## Rank

Rank not yet determined.

## Isogeny matrix

$$\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)$$

## Isogeny graph
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