Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-12544.2-j
Conductor 12544.2
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 12544.2-j over \(\Q(\sqrt{-3}) \)

Isogeny class 12544.2-j contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
12544.2-j1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 1\) , \( -2\bigr] \)
12544.2-j2 \( \bigl[0\) , \( 0\) , \( 0\) , \( -59\) , \( 138\bigr] \)
12544.2-j3 \( \bigl[0\) , \( 0\) , \( 0\) , \( -19\) , \( -30\bigr] \)
12544.2-j4 \( \bigl[0\) , \( 0\) , \( 0\) , \( -299\) , \( -1990\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph