Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 50700.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 50700.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50700.3-a1 | \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 386 a - 127\) , \( -4431 a + 3411\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
