Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 26244.4-a over \(\Q(\sqrt{-2}) \)
Isogeny class 26244.4-a contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 26244.4-a1 | \( \bigl[a\) , \( -1\) , \( a\) , \( 30 a + 34\) , \( 5 a - 163\bigr] \) |
| 26244.4-a2 | \( \bigl[a\) , \( -1\) , \( a\) , \( 4\) , \( -a - 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
