Properties

Base field \(\Q(\sqrt{105}) \)
Label 2.2.105.1-35.1-b
Conductor 35.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{105}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 26 \); class number \(2\).

Elliptic curves in class 35.1-b over \(\Q(\sqrt{105}) \)

Isogeny class 35.1-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label Weierstrass Coefficients
35.1-b1 \( \bigl[0\) , \( 1\) , \( a\) , \( -12214 a - 56473\) , \( 1735781 a + 8025336\bigr] \)
35.1-b2 \( \bigl[0\) , \( 1\) , \( a\) , \( -124 a - 573\) , \( -1929 a - 8924\bigr] \)
35.1-b3 \( \bigl[0\) , \( 1\) , \( a\) , \( 806 a + 3727\) , \( 5080 a + 23482\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph