Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 122500.2-b over \(\Q(\sqrt{-3}) \)
Isogeny class 122500.2-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 122500.2-b1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -45\) , \( -185\bigr] \) |
| 122500.2-b2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( 5\) , \( 5\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
