Properties

Base field \(\Q(\sqrt{7}) \)
Label 2.2.28.1-484.1-b
Conductor 484.1
Rank not recorded

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Base field \(\Q(\sqrt{7}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).

Elliptic curves in class 484.1-b over \(\Q(\sqrt{7}) \)

Isogeny class 484.1-b contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
484.1-b1 \( \bigl[0\) , \( 1\) , \( a + 1\) , \( -928 a - 2455\) , \( -25484 a - 67425\bigr] \)
484.1-b2 \( \bigl[0\) , \( 1\) , \( a + 1\) , \( -32 a + 85\) , \( 173 a - 461\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph