Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 417.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 417.1-a contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 417.1-a1 | \( \bigl[0\) , \( 1\) , \( a\) , \( 2 a - 2\) , \( a - 1\bigr] \) |
| 417.1-a2 | \( \bigl[0\) , \( 1\) , \( a\) , \( 72 a + 68\) , \( 400 a - 400\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
