Properties

Base field \(\Q(\sqrt{86}) \)
Label 2.2.344.1-9.1-d
Conductor 9.1
Rank \( 1 \)

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Base field \(\Q(\sqrt{86}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 86 \); class number \(1\).

Elliptic curves in class 9.1-d over \(\Q(\sqrt{86}) \)

Isogeny class 9.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.1-d1 \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 1248584 a - 11578838\) , \( 2342911510 a - 21727267427\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph