Base field \(\Q(\sqrt{-51}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 13 \); class number \(2\).
Elliptic curves in class 45.1-b over \(\Q(\sqrt{-51}) \)
Isogeny class 45.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 45.1-b1 | \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 43 a - 219\) , \( -327 a + 1107\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
