Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-900.2-k
Conductor 900.2
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 900.2-k over \(\Q(\sqrt{6}) \)

Isogeny class 900.2-k contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
900.2-k1 \( \bigl[a\) , \( a\) , \( a\) , \( 603 a - 1476\) , \( -12781 a + 31307\bigr] \)
900.2-k2 \( \bigl[0\) , \( a\) , \( 0\) , \( -108 a - 270\) , \( 884 a + 2179\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph