Properties

Base field \(\Q(\sqrt{15}) \)
Label 2.2.60.1-75.1-c
Conductor 75.1
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 75.1-c over \(\Q(\sqrt{15}) \)

Isogeny class 75.1-c contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
75.1-c1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -266 a - 1028\) , \( -5216 a - 20202\bigr] \)
75.1-c2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph