Elliptic curve isogeny class 58482.1-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-58482.1-b
• Conductor: 58482.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 58482.1-b over \(\Q(\sqrt{-1}) \)

Isogeny class 58482.1-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
58482.1-b1	\( \bigl[i\) , \( 1\) , \( 0\) , \( -47808\) , \( -4476064\bigr] \)
58482.1-b2	\( \bigl[i\) , \( 1\) , \( 0\) , \( -3168\) , \( -62464\bigr] \)
58482.1-b3	\( \bigl[i\) , \( 1\) , \( 0\) , \( -49248\) , \( -4218880\bigr] \)
58482.1-b4	\( \bigl[i\) , \( 1\) , \( 0\) , \( -787968\) , \( -269419360\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph