Properties

Base field \(\Q(\sqrt{15}) \)
Label 2.2.60.1-192.1-b
Conductor 192.1
Rank not recorded

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

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

Elliptic curves in class 192.1-b over \(\Q(\sqrt{15}) \)

Isogeny class 192.1-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
192.1-b1 \( \bigl[0\) , \( 1\) , \( 0\) , \( 8\) , \( 8\bigr] \)
192.1-b2 \( \bigl[0\) , \( 1\) , \( 0\) , \( -2\) , \( 0\bigr] \)
192.1-b3 \( \bigl[0\) , \( 1\) , \( 0\) , \( -17\) , \( -33\bigr] \)
192.1-b4 \( \bigl[0\) , \( 1\) , \( 0\) , \( -32\) , \( 60\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph