Properties

Base field \(\Q(\sqrt{55}) \)
Label 2.2.220.1-11.1-b
Conductor 11.1
Rank not recorded

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Base field \(\Q(\sqrt{55}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 55 \); class number \(2\).

Elliptic curves in class 11.1-b over \(\Q(\sqrt{55}) \)

Isogeny class 11.1-b contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
11.1-b1 \( \bigl[0\) , \( 0\) , \( 0\) , \( -13135156992\) , \( -579430051126272\bigr] \)
11.1-b2 \( \bigl[0\) , \( 0\) , \( 0\) , \( -13392\) , \( -1080432\bigr] \)
11.1-b3 \( \bigl[0\) , \( 0\) , \( 0\) , \( -349920000\) , \( 5983632000000\bigr] \)

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