# Stored data for newform 175.10.a.d, downloaded from the LMFDB on 21 May 2025.
{"Nk2": 17500, "analytic_conductor": 90.1312713286778, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 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": [175, 1, [127, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 5976345, "field_disc_factorization": [[3, 1], [5, 1], [398423, 1]], "field_poly": [2016, -426, -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, [-19080, -1326, 21, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510799049883823, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 6, "hecke_ring_index_factorization": [[2, 1], [3, 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": false, "label": "175.10.a.d", "level": 175, "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": [5, 7], "level_radical": 35, "minimal_twist": "7.10.a.b", "prim_orbit_index": 1, "qexp_display": "q+(-7+\\beta _{2})q^{2}+(-28+\\beta _{1}+\\beta _{2})q^{3}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "175.10.a", "trace_display": [-21, -84, 0, -7203], "trace_hash": 2271978734856442200, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.824", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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