Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-722.1-d
Conductor 722.1
Rank \( 0 \)

Related objects

Learn more

Base field \(\Q(\sqrt{6}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).

Elliptic curves in class 722.1-d over \(\Q(\sqrt{6}) \)

Isogeny class 722.1-d contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
722.1-d1 \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 1399 a - 3431\) , \( -47575 a + 116533\bigr] \)
722.1-d2 \( \bigl[a + 1\) , \( 1\) , \( a\) , \( -1\) , \( -235 a - 577\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph