Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 50625.1-CMb over \(\Q(\sqrt{-3}) \)
Isogeny class 50625.1-CMb contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50625.1-CMb1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 31\bigr] \) |
| 50625.1-CMb2 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -750\) , \( 7906\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
