Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 2916.1-m over \(\Q(\sqrt{2}) \)
Isogeny class 2916.1-m contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
2916.1-m1 | \( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( a + 1\bigr] \) |
2916.1-m2 | \( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( -27 a - 41\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)