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
Q a
root of the polynomial listed as f . We let a be a root of
this
polynomial, so that K=Q(a). Quantities in the tables will
be
given as linear combinations of the power basis (1, a, ...,
a^{n1}) for K.
Each lines is listed as:
N [A, B] [n_{1},
n_{2}]
n_{1}*n_{2} J
C
where:

N is the norm of the conductor;

A and B are the coefficients in y^{2} = x^{3} +
Ax + B;

The torsion subgroup is given by Z/n_{1}+Z/n_{2} has order
n_{1}*n_{2};

J is the jinvariant of the curve;

C is the actual conductor, given as a principal ideal.