Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 17689.7-CMb over \(\Q(\sqrt{-3}) \)
Isogeny class 17689.7-CMb contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 17689.7-CMb1 | \( \bigl[0\) , \( -a - 1\) , \( a\) , \( a\) , \( -21 a + 53\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
