Elliptic curve isogeny class 87808.3-r over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-87808.3-r
• Conductor: 87808.3
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 87808.3-r over \(\Q(\sqrt{-3}) \)

Isogeny class 87808.3-r contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
87808.3-r1	\( \bigl[0\) , \( -1\) , \( 0\) , \( -17 a - 77\) , \( -133 a - 209\bigr] \)
87808.3-r2	\( \bigl[0\) , \( -1\) , \( 0\) , \( -12 a + 13\) , \( 10 a - 36\bigr] \)