# Stored data for newform 1205.2.a.c, downloaded from the LMFDB on 29 April 2024.
{"label": "1205.2.a.c", "space_label": "1205.2.a", "level": 1205, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288296629, "dim": 15, "is_polredabs": true, "trace_hash": 2043575176277940030, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -17, -57, 89, 394, -297, -699, 437, 519, -296, -184, 99, 31, -16, -2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{11}q^{3}+\\beta _{2}q^{4}-q^{5}+(-\\beta _{8}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4820, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 9.621973443564286, "hecke_ring_index": 1, "level_radical": 1205, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1205, 1, [242, 971], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 241], "conrey_indexes": [1], "field_disc": 2480998014519860969224733, "field_disc_factorization": [[109, 1], [24304867, 1], [936497602496411, 1]], "field_poly": [-1, -17, -57, 89, 394, -297, -699, 437, 519, -296, -184, 99, 31, -16, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.574", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "389.978", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21090.327", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 15, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [241, 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