Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 12482.1-d over \(\Q(\sqrt{-2}) \)
Isogeny class 12482.1-d contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12482.1-d1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -420\) , \( 3109\bigr] \) |
| 12482.1-d2 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -23380\) , \( -1385691\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
