Base field \(\Q(\sqrt{209}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 52 \); class number \(1\).
Elliptic curves in class 2.1-a over \(\Q(\sqrt{209}) \)
Isogeny class 2.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
2.1-a1 | \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 333486 a - 2577189\) , \( -412096662 a + 3184854795\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)