Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-484.1-b
Conductor 484.1
Rank not recorded

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

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

Elliptic curves in class 484.1-b over \(\Q(\sqrt{6}) \)

Isogeny class 484.1-b contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
484.1-b1 \( \bigl[0\) , \( a + 1\) , \( a\) , \( -386 a - 945\) , \( -6960 a - 17050\bigr] \)
484.1-b2 \( \bigl[0\) , \( -a + 1\) , \( a\) , \( -14 a + 35\) , \( 32 a - 80\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph