Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-43.1-a
Conductor 43.1
Rank bounds 0...2

Related objects

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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 43.1-a over \(\Q(\sqrt{301}) \)

Isogeny class 43.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
43.1-a1 \( \bigl[0\) , \( -1\) , \( 1\) , \( 9939565 a - 91192286\) , \( 219792219925 a - 2016522358196\bigr] \)

Rank

Rank \(r\) satisfies \(0 \le r \le 2\)

Isogeny matrix

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

Isogeny graph