Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-12100.1-c
Conductor 12100.1
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 12100.1-c over \(\Q(\sqrt{-3}) \)

Isogeny class 12100.1-c contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
12100.1-c1 \( \bigl[1\) , \( 0\) , \( 1\) , \( -89\) , \( 316\bigr] \)
12100.1-c2 \( \bigl[1\) , \( 0\) , \( 1\) , \( 296\) , \( 1702\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph