Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-43776.1-q
Conductor 43776.1
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 43776.1-q over \(\Q(\sqrt{-3}) \)

Isogeny class 43776.1-q contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
43776.1-q1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 25 a + 25\) , \( -63 a + 136\bigr] \)
43776.1-q2 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 105 a - 135\) , \( -847 a + 504\bigr] \)
43776.1-q3 \( \bigl[0\) , \( 0\) , \( 0\) , \( -24 a - 15\) , \( 12 a + 30\bigr] \)
43776.1-q4 \( \bigl[0\) , \( 0\) , \( 0\) , \( -264 a - 255\) , \( 3036 a + 1038\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph