Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-14641.3-d
Conductor 14641.3
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 14641.3-d over \(\Q(\sqrt{-7}) \)

Isogeny class 14641.3-d contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
14641.3-d1 \( \bigl[0\) , \( -1\) , \( 1\) , \( -946260\) , \( 354609639\bigr] \)
14641.3-d2 \( \bigl[0\) , \( -1\) , \( 1\) , \( -1250\) , \( 31239\bigr] \)
14641.3-d3 \( \bigl[0\) , \( -1\) , \( 1\) , \( -40\) , \( -221\bigr] \)

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