Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 29241.8-e over \(\Q(\sqrt{-2}) \)
Isogeny class 29241.8-e contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 29241.8-e1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -39513\) , \( 3023145\bigr] \) |
| 29241.8-e2 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 177\) , \( 1035\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
