Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 12100.5-c over \(\Q(\sqrt{-7}) \)
Isogeny class 12100.5-c contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12100.5-c1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -5940\) , \( -178685\bigr] \) |
| 12100.5-c2 | \( \bigl[1\) , \( 1\) , \( 1\) , \( 10\) , \( -45\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
