Elliptic curve isogeny class 6498.1-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-6498.1-b
• Conductor: 6498.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 6498.1-b over \(\Q(\sqrt{-1}) \)

Isogeny class 6498.1-b contains 4 curves linked by isogenies of degrees dividing 6.

Curve label	Weierstrass Coefficients
6498.1-b1	\( \bigl[1\) , \( 0\) , \( 0\) , \( -418\) , \( -3610\bigr] \)
6498.1-b2	\( \bigl[1\) , \( 0\) , \( 0\) , \( 32\) , \( 8\bigr] \)
6498.1-b3	\( \bigl[i\) , \( 0\) , \( 0\) , \( -8\) , \( 0\bigr] \)
6498.1-b4	\( \bigl[i\) , \( 0\) , \( 0\) , \( -428\) , \( 3444\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph