Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 99372.5-j over \(\Q(\sqrt{-3}) \)
Isogeny class 99372.5-j contains 2 curves linked by isogenies of degree 7.
Curve label | Weierstrass Coefficients |
---|---|
99372.5-j1 | \( \bigl[a\) , \( 0\) , \( 0\) , \( 3674496 a\) , \( -2711401518\bigr] \) |
99372.5-j2 | \( \bigl[a\) , \( 0\) , \( 0\) , \( -714 a\) , \( -82908\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)