Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 100044.4-b over \(\Q(\sqrt{-3}) \)
Isogeny class 100044.4-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 100044.4-b1 | \( \bigl[1\) , \( -a + 1\) , \( a\) , \( 24 a - 19\) , \( a + 26\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
