Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 10082.1-c over \(\Q(\sqrt{-2}) \)
Isogeny class 10082.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 10082.1-c1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -2626\) , \( 52244\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 2\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
