Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-126976.2-j
Conductor 126976.2
Rank \( 1 \)

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 126976.2-j over \(\Q(\sqrt{-3}) \)

Isogeny class 126976.2-j contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
126976.2-j1 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -127 a + 100\) , \( -158 a + 669\bigr] \)
126976.2-j2 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -387 a + 128\) , \( 2694 a - 2563\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph