Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 13689.3-CMc over \(\Q(\sqrt{-3}) \)
Isogeny class 13689.3-CMc contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 13689.3-CMc1 | \( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( -4 a - 40\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 2\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
