# Stored data for newform 210.12.a.p, downloaded from the LMFDB on 20 April 2024.
{"label": "210.12.a.p", "space_label": "210.12.a", "level": 210, "weight": 12, "hecke_orbit": 16, "hecke_orbit_code": 67553994611884242, "dim": 4, "is_polredabs": true, "trace_hash": 1997800890560822022, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [-18380647870004233267200, 318363769618029696, -585819000032, -458260, 1]]], "qexp_display": "q+2^{5}q^{2}+3^{5}q^{3}+2^{10}q^{4}+5^{5}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30240, "fricke_eigenval": 1, "atkin_lehner_string": "----", "analytic_conductor": 161.35206791751366, "hecke_ring_index": 40320, "level_radical": 210, "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": 0, "analytic_rank_proved": true, "char_values": [210, 1, [71, 127, 31], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 2414382404883173232886198638184, "field_disc_factorization": [[2, 3], [179, 1], [1686021232460316503412149887, 1]], "field_poly": [-478525314115194389, -66934369575900, -2535805712, 0, 1], "hecke_ring_index_factorization": [[2, 7], [3, 2], [5, 1], [7, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "3.855", "prec": 17}, {"__RealLiteral__": 0, "data": "0.478", "prec": 17}, {"__RealLiteral__": 0, "data": "40.723", "prec": 20}, {"__RealLiteral__": 0, "data": "10.696", "prec": 20}, {"__RealLiteral__": 0, "data": "649.899", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [7, -1]], "trace_display": [128, 972, 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