Base field \(\Q(\sqrt{209}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 52 \); class number \(1\).
Elliptic curves in class 2.2-d over \(\Q(\sqrt{209}) \)
Isogeny class 2.2-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
2.2-d1 | \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 1797 a - 13879\) , \( 122321 a - 945339\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)