Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-15.2-a
Conductor 15.2
Rank \( 1 \)

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

Isogeny class 15.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
15.2-a1 \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 249169 a - 2286010\) , \( -197430230 a + 1811358398\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph