Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 5625.13-h over \(\Q(\sqrt{-11}) \)
Isogeny class 5625.13-h contains 2 curves linked by isogenies of degree 5.
Curve label | Weierstrass Coefficients |
---|---|
5625.13-h1 | \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -3\) , \( 2\bigr] \) |
5625.13-h2 | \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 85 a + 32\) , \( 25 a - 848\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)