Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-108300.2-i
Conductor 108300.2
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 108300.2-i over \(\Q(\sqrt{-3}) \)

Isogeny class 108300.2-i contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
108300.2-i1 \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -25871 a + 25871\) , \( 1614201\bigr] \)
108300.2-i2 \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 85489 a - 85489\) , \( 8420985\bigr] \)
108300.2-i3 \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -463231 a + 463231\) , \( 77449961\bigr] \)
108300.2-i4 \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -414991 a + 414991\) , \( 102863225\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph