Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-24964.5-b
Conductor 24964.5
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 24964.5-b over \(\Q(\sqrt{-7}) \)

Isogeny class 24964.5-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
24964.5-b1 \( \bigl[1\) , \( 0\) , \( 1\) , \( -82\) , \( -92\bigr] \)
24964.5-b2 \( \bigl[1\) , \( 0\) , \( 1\) , \( -47\) , \( 118\bigr] \)
24964.5-b3 \( \bigl[1\) , \( 0\) , \( 1\) , \( -5217\) , \( -145452\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 3 & 3 \\ 3 & 1 & 9 \\ 3 & 9 & 1 \end{array}\right)\)

Isogeny graph