Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 4900.1-h over \(\Q(\sqrt{2}) \)
Isogeny class 4900.1-h contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
4900.1-h1 | \( \bigl[0\) , \( -1\) , \( a\) , \( -201\) , \( -1033\bigr] \) |
4900.1-h2 | \( \bigl[0\) , \( -1\) , \( a\) , \( -1\) , \( -3\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)