Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-63075.1-d
Conductor 63075.1
Rank \( 0 \)

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 63075.1-d over \(\Q(\sqrt{-3}) \)

Isogeny class 63075.1-d contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
63075.1-d1 \( \bigl[1\) , \( 0\) , \( 1\) , \( 112\) , \( 263\bigr] \)
63075.1-d2 \( \bigl[1\) , \( 0\) , \( 1\) , \( -33\) , \( 31\bigr] \)
63075.1-d3 \( \bigl[1\) , \( 0\) , \( 1\) , \( -258\) , \( -1589\bigr] \)
63075.1-d4 \( \bigl[1\) , \( 0\) , \( 1\) , \( -28\) , \( 53\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph