Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 38416.3-b over \(\Q(\sqrt{-3}) \)
Isogeny class 38416.3-b contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
38416.3-b1 | \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 114 a\) , \( -127\bigr] \) |
38416.3-b2 | \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 6974 a\) , \( -226507\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)