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{'INFO': {'code': '', 'status': '', 'contact': 'https://github.com/JRSijsling[Jeroen Sijsling]', 'description': 'Endomorphism data for genus 2 curves over QQ.'}, 'NOTES': {'description': '* Data known for all curves in the genus 2 curves database.\n\n * The representation of the endomorphism lattice by subfields of the full field of definition of the endomorphism ring has a rather terse format.\n\n * It is a list of lists, and its entries are as follows. \n\n- First entry: A triple that describes the base field by its LMFDB label, a list representing a minimal polynomial, and a list representing a generator in the smallest field over which all endomorphisms are defined, as described by fod_coeffs.\n\n- Second entry: At most two lists that indicate the factors of the endomorphism algebra. Two first entries of these lists base fields of the corresponding factors, as in the description of the first entry above. The third entry indicates whether the corresponding factor is a field or not. If -1 then it is; otherwise this entry is the norm of the discriminant of the corresponding quaternion algebra over the base field described by the first two entries.\n\n- Third entry: A sequence of strings describing End ox RR.\n\n - Fourth entry: A list that describes the endomorphism ring as a subring of the endomorphism algebra. If the second entry is -1, then the first entry gives an index or a conductor norm in the case of a field if that applies. If 0 or 1, then the first entry describes the index of the order and the second entry describes whether it is Eichler (1) or not (0).\n\n - Fifth entry: The Sato-Tate group. \n\n * The conventions above are also used in other fields. \n\n * sFor splittings of the Jacobian, we return a subfield of smallest degree over which the splitting occurs, represented as above. We also return lists that represent defining equations for the corresponding elliptic curves over that field, or rather, a and b such that the corresponding factor is isomorphic to the curve with equation y^2 = x^3 + (-a/48) x + (-b/864). LMFDB labels for these curves is also return if they exist, and conductor norms are always given.'}, '_id': 15, 'db_id': 7, 'id': 16, 'name': 'g2c_endomorphisms', 'nice_name': 'Endomorphism data for genus 2 curves over Q', 'scan_date': {'__date__': 0, 'data': '2018-02-15 12:35:06.330000'}, 'status': 0}