# Stored data for newform 75.10.a.k, downloaded from the LMFDB on 24 August 2026.
{"Nk2": 7500, "analytic_conductor": 38.62768771229049, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -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": [75, 1, [26, 52], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 35122612624, "field_disc_factorization": [[2, 4], [11, 1], [31, 2], [281, 1], [739, 1]], "field_poly": [559560, 152, -1546, -2, 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, [314784, -5056, -1918, -2, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996441477195, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 13800, "hecke_ring_index_factorization": [[2, 3], [3, 1], [5, 2], [23, 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": "75.10.a.k", "level": 75, "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, 5], "level_radical": 15, "minimal_twist": "75.10.a.j", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-3^{4}q^{3}+(445-6\\beta _{1}+\\beta _{2}+\\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": "75.10.a", "trace_display": [2, -324, 0, -13036], "trace_hash": 817344787326936411, "trace_moments": [{"__RealLiteral__": 0, "data": "0.092", "prec": 7}, {"__RealLiteral__": 0, 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