Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-145152.1-f
Conductor 145152.1
Rank not recorded

Related objects

Learn more about

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

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

Elliptic curves in class 145152.1-f over \(\Q(\sqrt{-3}) \)

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

Curve label Weierstrass Coefficients
145152.1-f1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 801 a - 657\) , \( 8652 a - 2382\bigr] \)
145152.1-f2 \( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a - 153\) , \( -420 a - 870\bigr] \)
145152.1-f3 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a + 143\) , \( -705 a - 463\bigr] \)
145152.1-f4 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -558 a + 543\) , \( -17 a + 4705\bigr] \)
145152.1-f5 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1617 a - 159\) , \( 2575 a + 21904\bigr] \)

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