Properties

Base field \(\Q(\sqrt{15}) \)
Label 2.2.60.1-150.1-b
Conductor 150.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{15}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 15 \); class number \(2\).

Elliptic curves in class 150.1-b over \(\Q(\sqrt{15}) \)

Isogeny class 150.1-b contains 4 curves linked by isogenies of degrees dividing 10.

Curve label Weierstrass Coefficients
150.1-b1 \( \bigl[a\) , \( -1\) , \( a\) , \( -8\) , \( -3\bigr] \)
150.1-b2 \( \bigl[a\) , \( -1\) , \( a\) , \( -33\) , \( -303\bigr] \)
150.1-b3 \( \bigl[a\) , \( -1\) , \( a\) , \( -833\) , \( -9903\bigr] \)
150.1-b4 \( \bigl[a\) , \( -1\) , \( a\) , \( -58\) , \( 97\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 5 & 10 & 2 \\ 5 & 1 & 2 & 10 \\ 10 & 2 & 1 & 5 \\ 2 & 10 & 5 & 1 \end{array}\right)\)

Isogeny graph