Base field \(\Q(\sqrt{7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).
Elliptic curves in class 676.1-e over \(\Q(\sqrt{7}) \)
Isogeny class 676.1-e contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 676.1-e1 | \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 15 a + 40\) , \( -926 a - 2450\bigr] \) |
| 676.1-e2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -4\) , \( -3\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
