Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-288.1-q
Conductor 288.1
Rank not recorded

Related objects

Learn more about

Base field \(\Q(\sqrt{10}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).

Elliptic curves in class 288.1-q over \(\Q(\sqrt{10}) \)

Isogeny class 288.1-q contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
288.1-q1 \( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \)
288.1-q2 \( \bigl[0\) , \( -1\) , \( 0\) , \( -2\) , \( 0\bigr] \)
288.1-q3 \( \bigl[0\) , \( -1\) , \( 0\) , \( -17\) , \( 33\bigr] \)
288.1-q4 \( \bigl[0\) , \( -1\) , \( 0\) , \( -32\) , \( -60\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph