Base field \(\Q(\sqrt{-51}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 13 \); class number \(2\).
Elliptic curves in class 51.1-b over \(\Q(\sqrt{-51}) \)
Isogeny class 51.1-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 51.1-b1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -59\) , \( -196\bigr] \) |
| 51.1-b2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( 1\) , \( -1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
