Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 532.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 532.3-a contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 532.3-a1 | \( \bigl[1\) , \( -a\) , \( 0\) , \( -7 a\) , \( -7 a + 3\bigr] \) |
| 532.3-a2 | \( \bigl[1\) , \( -a\) , \( 0\) , \( -7 a + 35\) , \( 595 a - 508\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
