Base field \(\Q(\sqrt{22}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 22 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 81.5-a over \(\Q(\sqrt{22}) \)
Isogeny class 81.5-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 81.5-a1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 491 a - 2303\) , \( -21864 a + 102551\bigr] \) |