Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 15138.2-g over \(\Q(\sqrt{-2}) \)
Isogeny class 15138.2-g contains 2 curves linked by isogenies of degree 7.
Curve label | Weierstrass Coefficients |
---|---|
15138.2-g1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -6511\) , \( -203353\bigr] \) |
15138.2-g2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( 137\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)