Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 26244.5-c over \(\Q(\sqrt{-2}) \)
Isogeny class 26244.5-c contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 26244.5-c1 | \( \bigl[a\) , \( -1\) , \( 0\) , \( -27 a - 33\) , \( 108 a + 64\bigr] \) |
| 26244.5-c2 | \( \bigl[a\) , \( -1\) , \( 0\) , \( 3 a - 3\) , \( 2 a\bigr] \) |