Properties

Base field \(\Q(\sqrt{209}) \)
Label 2.2.209.1-2.1-d
Conductor 2.1
Rank not recorded

Related objects

Learn more about

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

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

Elliptic curves in class 2.1-d over \(\Q(\sqrt{209}) \)

Isogeny class 2.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
2.1-d1 \( \bigl[a + 1\) , \( 1\) , \( a\) , \( -1797 a - 12082\) , \( -124118 a - 835100\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph