Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 38416.1-h over \(\Q(\sqrt{-2}) \)
Isogeny class 38416.1-h contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
38416.1-h1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -2\) , \( -1\bigr] \) |
38416.1-h2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -142\) , \( -701\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)