Properties

Base field \(\Q(\sqrt{209}) \)
Label 2.2.209.1-4.1-a
Conductor 4.1
Rank not recorded

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

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

Elliptic curves in class 4.1-a over \(\Q(\sqrt{209}) \)

Isogeny class 4.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
4.1-a1 \( \bigl[1\) , \( -1\) , \( a\) , \( -403 a - 2708\) , \( -267565 a - 1800300\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph