Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 24964.1-c over \(\Q(\sqrt{-11}) \)
Isogeny class 24964.1-c contains 2 curves linked by isogenies of degree 5.
Curve label | Weierstrass Coefficients |
---|---|
24964.1-c1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -420\) , \( 3109\bigr] \) |
24964.1-c2 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -23380\) , \( -1385691\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)