Base field \(\Q(\sqrt{-47}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 12 \); class number \(5\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 676.2-b over \(\Q(\sqrt{-47}) \)
Isogeny class 676.2-b contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 676.2-b1 | \( \bigl[1\) , \( -1\) , \( 1\) , \( -213\) , \( -1257\bigr] \) |
| 676.2-b2 | \( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 3\bigr] \) |