Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-36.1-b
Conductor 36.1
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 36.1-b over \(\Q(\sqrt{301}) \)

Isogeny class 36.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
36.1-b1 \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 39653299 a - 363805944\) , \( -393736994700 a + 3612409272145\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph