Elliptic curve isogeny class 86436.3-e over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-86436.3-e
• Conductor: 86436.3
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-3}) \)

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 86436.3-e over \(\Q(\sqrt{-3}) \)

Isogeny class 86436.3-e contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
86436.3-e1	\( \bigl[1\) , \( a\) , \( 1\) , \( -17076 a + 10672\) , \( -444105 a + 821594\bigr] \)
86436.3-e2	\( \bigl[1\) , \( a\) , \( 1\) , \( 564 a - 353\) , \( -3105 a + 5744\bigr] \)