Base field \(\Q(\sqrt{7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).
Elliptic curves in class 441.1-c over \(\Q(\sqrt{7}) \)
Isogeny class 441.1-c contains 2 curves linked by isogenies of degree 13.
| Curve label | Weierstrass Coefficients |
|---|---|
| 441.1-c1 | \( \bigl[0\) , \( 1\) , \( a\) , \( -912\) , \( -10921\bigr] \) |
| 441.1-c2 | \( \bigl[0\) , \( 1\) , \( a\) , \( -2\) , \( -1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)
Isogeny graph
