Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-9.3-a
Conductor 9.3
Rank \( 1 \)

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Base field \(\Q(\sqrt{301}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).

Elliptic curves in class 9.3-a over \(\Q(\sqrt{301}) \)

Isogeny class 9.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.3-a1 \( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -1277489 a - 10443044\) , \( -4153497845 a - 33953498256\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph