Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 115248.3-c over \(\Q(\sqrt{-3}) \)
Isogeny class 115248.3-c contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 115248.3-c1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -9\) , \( -6\bigr] \) |
| 115248.3-c2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -44\) , \( 120\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
