Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 482.1-b over \(\Q(\sqrt{2}) \)
Isogeny class 482.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 482.1-b1 | \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 207 a + 210\) , \( -2532 a - 3866\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
