Elliptic curve isogeny class 87808.2-t over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-87808.2-t
• Conductor: 87808.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 87808.2-t over \(\Q(\sqrt{-3}) \)

Isogeny class 87808.2-t contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
87808.2-t1	\( \bigl[0\) , \( -1\) , \( 0\) , \( 5 a - 6\) , \( -3 a + 2\bigr] \)
87808.2-t2	\( \bigl[0\) , \( -1\) , \( 0\) , \( 45 a - 66\) , \( 161 a - 146\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph