Properties

Base field \(\Q(\sqrt{15}) \)
Label 2.2.60.1-121.1-b
Conductor 121.1
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 121.1-b over \(\Q(\sqrt{15}) \)

Isogeny class 121.1-b contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
121.1-b1 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 250250 a - 969716\) , \( 134564648 a - 521170522\bigr] \)
121.1-b2 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 330 a - 1276\) , \( 12208 a - 47282\bigr] \)
121.1-b3 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 10 a - 36\) , \( -72 a + 278\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph