Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 16.5-a over \(\Q(\sqrt{89}) \)
Isogeny class 16.5-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.5-a1 | \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 1840 a - 9612\) , \( -96301 a + 502395\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
