Base field \(\Q(\sqrt{15}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 15 \); class number \(2\).
Elliptic curves in class 75.1-b over \(\Q(\sqrt{15}) \)
Isogeny class 75.1-b contains 2 curves linked by isogenies of degree 5.
Curve label | Weierstrass Coefficients |
---|---|
75.1-b1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -266 a - 1028\) , \( 5216 a + 20202\bigr] \) |
75.1-b2 | \( \bigl[0\) , \( -1\) , \( a\) , \( 2\) , \( -8\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)