Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 26244.4-b over \(\Q(\sqrt{-2}) \)
Isogeny class 26244.4-b contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
26244.4-b1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 6 a + 3\bigr] \) |
26244.4-b2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -4 a - 7\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)