Tables of Elliptic Curves over Number Fields: Notation
The tables list curves over a number field K. This field is
an extension of the rational numbers Q found by adjoining to
root of the polynomial listed as f . We let a be a root of
polynomial, so that K=Q(a). Quantities in the tables will
given as linear combinations of the power basis (1, a, ...,
an-1) for K.
Each lines is listed as:
N [A, B] [n1,
N is the norm of the conductor;
A and B are the coefficients in y2 = x3 +
Ax + B;
The torsion subgroup is given by Z/n1+Z/n2 has order
J is the j-invariant of the curve;
C is the actual conductor, given as a principal ideal.