Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 7371.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 7371.3-a contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 7371.3-a1 | \( \bigl[1\) , \( -1\) , \( a\) , \( -2 a\) , \( -a + 1\bigr] \) |
| 7371.3-a2 | \( \bigl[1\) , \( -1\) , \( a\) , \( 13 a\) , \( 11 a - 20\bigr] \) |