Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 43776.2-h over \(\Q(\sqrt{-3}) \)
Isogeny class 43776.2-h contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
43776.2-h1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 6\) , \( 6 a - 5\bigr] \) |
43776.2-h2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -24 a + 9\) , \( 48 a - 26\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)