# Stored data for newform 147.10.a.h, downloaded from the LMFDB on 15 June 2024.
{"Nk2": 14700, "analytic_conductor": 75.71026791608935, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [147, 1, [50, 52], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 82926705065, "field_disc_factorization": [[5, 1], [16585341013, 1]], "field_poly": [92160, -2280, -1058, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [47296, 12408, -650, -33, 1]], [5, [2148816729600, -5680406880, -2897424, 2478, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197559365779, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 756, "hecke_ring_index_factorization": [[2, 2], [3, 3], [7, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "147.10.a.h", "level": 147, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 7], "level_radical": 21, "minimal_twist": "147.10.a.g", "prim_orbit_index": 1, "qexp_display": "q+(8+\\beta _{1})q^{2}+3^{4}q^{3}+(80+20\\beta _{1}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "147.10.a", "trace_display": [33, 324, -2478, 0], "trace_hash": 715253589667118315, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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