Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 22275.12-g over \(\Q(\sqrt{-11}) \)
Isogeny class 22275.12-g contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 22275.12-g1 | \( \bigl[1\) , \( -a\) , \( 0\) , \( -3 a - 6\) , \( -9 a - 18\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
