Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 16.2-c over \(\Q(\sqrt{89}) \)
Isogeny class 16.2-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.2-c1 | \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( a + 5\) , \( -5 a - 21\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
