Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 14641.1-d over \(\Q(\sqrt{-3}) \)
Isogeny class 14641.1-d contains 2 curves linked by isogenies of degree 11.
| Curve label | Weierstrass Coefficients |
|---|---|
| 14641.1-d1 | \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 29 a\) , \( -76\bigr] \) |
| 14641.1-d2 | \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 304 a\) , \( 7888\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)
Isogeny graph
