Elliptic curve isogeny class 98.1-k over number field \(\Q(\sqrt{15}) \)

• Base field: \(\Q(\sqrt{15}) \)
• Label: 2.2.60.1-98.1-k
• Conductor: 98.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{15}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 15 \); class number \(2\).

Elliptic curves in class 98.1-k over \(\Q(\sqrt{15}) \)

Isogeny class 98.1-k contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
98.1-k1	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 674 a - 2614\) , \( -19712 a + 76338\bigr] \)
98.1-k2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 174674 a - 676534\) , \( -78249824 a + 303060226\bigr] \)
98.1-k3	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 10914 a - 42294\) , \( -1224704 a + 4743218\bigr] \)
98.1-k4	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 10994 a - 42934\) , \( -1196192 a + 4630370\bigr] \)

Rank

Rank: \( 1 \)

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