Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-300.2-d
Conductor 300.2
Rank \( 0 \)

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

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

Elliptic curves in class 300.2-d over \(\Q(\sqrt{6}) \)

Isogeny class 300.2-d contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
300.2-d1 \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 85 a - 210\) , \( -84 a + 204\bigr] \)
300.2-d2 \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -330 a + 805\) , \( -1643 a + 4023\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph