Elliptic curve isogeny class 15988.3-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-15988.3-a
• Conductor: 15988.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 15988.3-a over \(\Q(\sqrt{-3}) \)

Isogeny class 15988.3-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
15988.3-a1	\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( 13 a - 50\) , \( -80 a + 145\bigr] \)
15988.3-a2	\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -7 a\) , \( -8 a + 7\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph