Properties

Base field 3.3.148.1
Label 3.3.148.1-361.2-c
Conductor 361.2
Rank \( 0 \)

Related objects

Learn more

Base field 3.3.148.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 3 x + 1 \); class number \(1\).

Elliptic curves in class 361.2-c over 3.3.148.1

Isogeny class 361.2-c contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
361.2-c1 \( \bigl[a^{2} - a - 2\) , \( a - 1\) , \( a^{2} - a - 1\) , \( -18379 a^{2} - 21505 a + 8468\) , \( -2505848 a^{2} - 2932058 a + 1154722\bigr] \)
361.2-c2 \( \bigl[a^{2} - a - 2\) , \( a - 1\) , \( a^{2} - a - 1\) , \( -44144 a^{2} - 51650 a + 20338\) , \( 5820525 a^{2} + 6810519 a - 2682165\bigr] \)
361.2-c3 \( \bigl[0\) , \( -a^{2} + 2 a + 1\) , \( a\) , \( 54 a^{2} + 87 a - 439\) , \( 548 a^{2} + 456 a - 3568\bigr] \)
361.2-c4 \( \bigl[0\) , \( -a^{2} + 2 a + 1\) , \( a\) , \( -6 a^{2} + 17 a - 9\) , \( 35 a^{2} - 84 a + 16\bigr] \)

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