Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-15.3-b
Conductor 15.3
Rank \( 0 \)

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 15.3-b over \(\Q(\sqrt{301}) \)

Isogeny class 15.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
15.3-b1 \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 22 a + 123\) , \( 61 a + 567\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph