Base field \(\Q(\sqrt{11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).
Elliptic curves in class 98.2-d over \(\Q(\sqrt{11}) \)
Isogeny class 98.2-d contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
98.2-d1 | \( \bigl[1\) , \( a - 1\) , \( 0\) , \( 20 a - 72\) , \( -128 a + 432\bigr] \) |
98.2-d2 | \( \bigl[1\) , \( a - 1\) , \( 0\) , \( 3\) , \( 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)