Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-225.3-i
Conductor 225.3
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 225.3-i over \(\Q(\sqrt{6}) \)

Isogeny class 225.3-i contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
225.3-i1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -6 a - 15\bigr] \)
225.3-i2 \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( -11 a + 24\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph