Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 22500.8-r over \(\Q(\sqrt{-11}) \)
Isogeny class 22500.8-r contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 22500.8-r1 | \( \bigl[1\) , \( a\) , \( 0\) , \( 23 a - 14\) , \( 39 a + 15\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
