Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 26244.6-e over \(\Q(\sqrt{-2}) \)
Isogeny class 26244.6-e contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 26244.6-e1 | \( \bigl[a\) , \( -1\) , \( 0\) , \( 9 a - 51\) , \( -42 a + 166\bigr] \) |
| 26244.6-e2 | \( \bigl[a\) , \( -1\) , \( a\) , \( 22\) , \( -27 a - 3\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
