Properties

Base field \(\Q(\sqrt{77}) \)
Label 2.2.77.1-23.2-b
Conductor 23.2
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 23.2-b over \(\Q(\sqrt{77}) \)

Isogeny class 23.2-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
23.2-b1 \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 2 a + 9\) , \( 0\bigr] \)
23.2-b2 \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -8 a - 36\) , \( -73 a - 294\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph