Properties

Base field \(\Q(\sqrt{209}) \)
Label 2.2.209.1-4.2-a
Conductor 4.2
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 4.2-a over \(\Q(\sqrt{209}) \)

Isogeny class 4.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
4.2-a1 \( \bigl[0\) , \( -a - 1\) , \( a\) , \( 11\) , \( -a - 11\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph