Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 14400.3-i over \(\Q(\sqrt{-11}) \)
Isogeny class 14400.3-i contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
14400.3-i1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 25 a - 15\) , \( -48 a - 34\bigr] \) |
14400.3-i2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 5 a\) , \( a + 8\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)