Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 69312.1-g over \(\Q(\sqrt{-3}) \)
Isogeny class 69312.1-g contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 69312.1-g1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( -1341 a - 1910\) , \( 41401 a + 23857\bigr] \) |