Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-900.2-c
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-c over \(\Q(\sqrt{6}) \)

Isogeny class 900.2-c contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
900.2-c1 \( \bigl[a\) , \( 0\) , \( 0\) , \( -1407 a - 3456\) , \( 45708 a + 111969\bigr] \)
900.2-c2 \( \bigl[a\) , \( 0\) , \( 0\) , \( 83 a + 204\) , \( 260 a + 637\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph