Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 114244.3-f over \(\Q(\sqrt{-3}) \)
Isogeny class 114244.3-f contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 114244.3-f1 | \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -389 a + 389\) , \( -2859\bigr] \) |
| 114244.3-f2 | \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( a - 1\) , \( 1\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
