Base field \(\Q(\sqrt{46}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 46 \); class number \(1\).
Elliptic curves in class 10.1-e over \(\Q(\sqrt{46}) \)
Isogeny class 10.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 10.1-e1 | \( \bigl[1\) , \( 1\) , \( a\) , \( -a + 1\) , \( a - 41\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
