Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 8.1-a over \(\Q(\sqrt{89}) \)
Isogeny class 8.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
8.1-a1 | \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -8316 a + 43371\) , \( 324545 a - 1693155\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)