Properties

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

Isogeny class 2.2-c contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
2.2-c1 \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -1476 a - 9940\) , \( -95638 a - 643494\bigr] \)
2.2-c2 \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -10 a + 66\) , \( -20 a + 156\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph