Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 1083.2-c over \(\Q(\sqrt{-3}) \)
Isogeny class 1083.2-c contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1083.2-c1 | \( \bigl[0\) , \( -a\) , \( 1\) , \( -4390 a + 4390\) , \( -113432\bigr] \) |
| 1083.2-c2 | \( \bigl[0\) , \( -a\) , \( 1\) , \( 20 a - 20\) , \( -32\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
