Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 17500.2-h over \(\Q(\sqrt{-7}) \)
Isogeny class 17500.2-h contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 17500.2-h1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -1138\) , \( -20858\bigr] \) |
| 17500.2-h2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( 112\) , \( 392\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
