Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 4.3-a over \(\Q(\sqrt{89}) \)
Isogeny class 4.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4.3-a1 | \( \bigl[a\) , \( -1\) , \( a\) , \( 12 a - 65\) , \( -35 a + 183\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
