Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 34969.1-b over \(\Q(\sqrt{-3}) \)
Isogeny class 34969.1-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 34969.1-b1 | \( \bigl[0\) , \( -a\) , \( 1\) , \( -99 a + 99\) , \( -905\bigr] \) |
| 34969.1-b2 | \( \bigl[0\) , \( -a\) , \( 1\) , \( 11 a - 11\) , \( 30\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
