Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 26244.4-c over \(\Q(\sqrt{-2}) \)
Isogeny class 26244.4-c contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
26244.4-c1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -54 a + 27\bigr] \) |
26244.4-c2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 2 a - 1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)