Elliptic curve isogeny class 145152.1-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-145152.1-b
• Conductor: 145152.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 145152.1-b over \(\Q(\sqrt{-3}) \)

Isogeny class 145152.1-b contains 5 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
145152.1-b1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 801 a - 657\) , \( -8652 a + 2382\bigr] \)
145152.1-b2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a - 153\) , \( 420 a + 870\bigr] \)
145152.1-b3	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a + 143\) , \( 705 a + 463\bigr] \)
145152.1-b4	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -558 a + 543\) , \( 17 a - 4705\bigr] \)
145152.1-b5	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1617 a - 159\) , \( -2575 a - 21904\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrrr} 1 & 3 & 9 & 9 & 9 \\ 3 & 1 & 3 & 3 & 3 \\ 9 & 3 & 1 & 9 & 9 \\ 9 & 3 & 9 & 1 & 9 \\ 9 & 3 & 9 & 9 & 1 \end{array}\right)\)

Isogeny graph