Properties

Base field \(\Q(\sqrt{77}) \)
Label 2.2.77.1-25.1-b
Conductor 25.1
Rank not recorded

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Base field \(\Q(\sqrt{77}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).

Elliptic curves in class 25.1-b over \(\Q(\sqrt{77}) \)

Isogeny class 25.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-b1 \( \bigl[0\) , \( 0\) , \( 1\) , \( a - 5\) , \( 2 a - 10\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph