Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 5184.3-f over \(\Q(\sqrt{-11}) \)
Isogeny class 5184.3-f contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5184.3-f1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 12 a - 3\) , \( 12 a - 2\bigr] \) |
| 5184.3-f2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -48 a - 3\) , \( 96 a - 2\bigr] \) |