Properties

Base field \(\Q(\sqrt{209}) \)
Label 2.2.209.1-10.1-a
Conductor 10.1
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 10.1-a over \(\Q(\sqrt{209}) \)

Isogeny class 10.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-a1 \( \bigl[a\) , \( -a\) , \( 1\) , \( 19297589 a - 149139785\) , \( -251996522818 a + 1947533996049\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph