Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 102400.1-j over \(\Q(\sqrt{-3}) \)
Isogeny class 102400.1-j contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
102400.1-j1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 4\) , \( 32 a - 16\bigr] \) |
102400.1-j2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 164\) , \( 928 a - 464\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)