Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-145152.1-c
Conductor 145152.1
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 145152.1-c over \(\Q(\sqrt{-3}) \)

Isogeny class 145152.1-c contains 5 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
145152.1-c1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 219 a + 48\) , \( -432 a + 1658\bigr] \)
145152.1-c2 \( \bigl[0\) , \( 0\) , \( 0\) , \( 51 a - 48\) , \( 240 a - 190\bigr] \)
145152.1-c3 \( \bigl[0\) , \( 0\) , \( 0\) , \( -429 a + 432\) , \( -4464 a + 5186\bigr] \)
145152.1-c4 \( \bigl[0\) , \( 0\) , \( 0\) , \( -1629 a - 48\) , \( 29808 a - 13966\bigr] \)
145152.1-c5 \( \bigl[0\) , \( 0\) , \( 0\) , \( 4371 a - 4848\) , \( 138672 a - 85534\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph