Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 3872.12-b over \(\Q(\sqrt{-7}) \)
Isogeny class 3872.12-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 3872.12-b1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a - 9\) , \( -14\bigr] \) |
| 3872.12-b2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 4\) , \( -4 a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
