Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-145152.2-c
Conductor 145152.2
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 145152.2-c over \(\Q(\sqrt{-3}) \)

Isogeny class 145152.2-c contains 5 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
145152.2-c1 \( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a - 144\) , \( -420 a + 1290\bigr] \)
145152.2-c2 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 144\) , \( -704 a + 1024\bigr] \)
145152.2-c3 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 560 a - 16\) , \( -576 a - 4672\bigr] \)
145152.2-c4 \( \bigl[0\) , \( 0\) , \( 0\) , \( -801 a + 144\) , \( 8652 a - 6270\bigr] \)
145152.2-c5 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1458 a + 159\) , \( 2575 a - 24479\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrrr} 1 & 3 & 3 & 3 & 3 \\ 3 & 1 & 9 & 9 & 9 \\ 3 & 9 & 1 & 9 & 9 \\ 3 & 9 & 9 & 1 & 9 \\ 3 & 9 & 9 & 9 & 1 \end{array}\right)\)

Isogeny graph