Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 4375.1-c over \(\Q(\sqrt{-7}) \)
Isogeny class 4375.1-c contains 2 curves linked by isogenies of degree 5.
Curve label | Weierstrass Coefficients |
---|---|
4375.1-c1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -3708\) , \( 86119\bigr] \) |
4375.1-c2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( 42\) , \( -131\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)