Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-14641.1-b
Conductor 14641.1
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 14641.1-b over \(\Q(\sqrt{-3}) \)

Isogeny class 14641.1-b contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
14641.1-b1 \( \bigl[0\) , \( a\) , \( 1\) , \( -946260 a + 946260\) , \( 354609639\bigr] \)
14641.1-b2 \( \bigl[0\) , \( a\) , \( 1\) , \( -1250 a + 1250\) , \( 31239\bigr] \)
14641.1-b3 \( \bigl[0\) , \( a\) , \( 1\) , \( -40 a + 40\) , \( -221\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph