Base field \(\Q(\sqrt{10}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).
Elliptic curves in class 405.4-a over \(\Q(\sqrt{10}) \)
Isogeny class 405.4-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 405.4-a1 | \( \bigl[a\) , \( a + 1\) , \( a\) , \( -41 a - 135\) , \( 200 a + 630\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
