Properties

Base field \(\Q(\sqrt{209}) \)
Label 2.2.209.1-2.2-d
Conductor 2.2
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 2.2-d over \(\Q(\sqrt{209}) \)

Isogeny class 2.2-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
2.2-d1 \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 1797 a - 13879\) , \( 122321 a - 945339\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph