Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 4.2-a over \(\Q(\sqrt{89}) \)
Isogeny class 4.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4.2-a1 | \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -14 a - 53\) , \( 34 a + 148\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
