Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 38025.2-b over \(\Q(\sqrt{-3}) \)
Isogeny class 38025.2-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
38025.2-b1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -24\) , \( -45\bigr] \) |
38025.2-b2 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -399\) , \( -2970\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)