Elliptic curve isogeny class 98.1-f over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-98.1-f
• Conductor: 98.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{6}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).

Elliptic curves in class 98.1-f over \(\Q(\sqrt{6}) \)

Isogeny class 98.1-f contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
98.1-f1	\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -9533 a - 23398\) , \( 702502 a + 1720850\bigr] \)
98.1-f2	\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 141 a - 337\) , \( -2393 a + 5867\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph