Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 12100.5-a over \(\Q(\sqrt{-7}) \)
Isogeny class 12100.5-a contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
12100.5-a1 | \( \bigl[1\) , \( 0\) , \( 1\) , \( -89\) , \( 316\bigr] \) |
12100.5-a2 | \( \bigl[1\) , \( 0\) , \( 1\) , \( 296\) , \( 1702\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)