Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 16.3-b over \(\Q(\sqrt{89}) \)
Isogeny class 16.3-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.3-b1 | \( \bigl[a\) , \( 0\) , \( 0\) , \( -35147 a + 183377\) , \( 6225753 a - 32479683\bigr] \) |
Rank
Rank not yet determined.Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)