Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-256.1-b
Conductor 256.1
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 256.1-b over \(\Q(\sqrt{6}) \)

Isogeny class 256.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
256.1-b1 \( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 1\bigr] \)
256.1-b2 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 46 a - 112\) , \( -196 a + 480\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph