Base field \(\Q(\sqrt{10}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).
Elliptic curves in class 405.5-d over \(\Q(\sqrt{10}) \)
Isogeny class 405.5-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 405.5-d1 | \( \bigl[a\) , \( a\) , \( 0\) , \( -a + 2\) , \( 10 a - 63\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
