Elliptic curve isogeny class 60613.3-a over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-60613.3-a
• Conductor: 60613.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 60613.3-a over \(\Q(\sqrt{-3}) \)

Isogeny class 60613.3-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
60613.3-a1	\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 8 a - 18\) , \( -19 a + 25\bigr] \)
60613.3-a2	\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 138 a - 283\) , \( 1198 a - 1636\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph