Properties

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

Isogeny class 2.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
2.2-a1 \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -333486 a - 2243755\) , \( 412430147 a + 2775001836\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph