Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 12996.7-a over \(\Q(\sqrt{-2}) \)
Isogeny class 12996.7-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12996.7-a1 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4 a - 4\) , \( 8 a + 3\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
