# Stored data for newform 756.2.bt.a, downloaded from the LMFDB on 16 April 2024. {"label": "756.2.bt.a", "space_label": "756.2.bt", "level": 756, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 3092410008308, "dim": 840, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 18, "char_parity": 1, "char_degree": 6, "char_conductor": 756, "char_orbit_label": "bt", "char_is_real": false, "Nk2": 3024, "analytic_conductor": 6.036690392808797, "level_radical": 42, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [756, 18, [379, 29, 325], [9, 14, 15]], "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [103, 115, 355, 367, 607, 619], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 140, "sato_tate_group": "1.2.3.c18", "trace_display": [-3, 0, -18, 0], "traces": [840, -3, 0, -3, -18, 0, 0, -6, -6, 0, 0, 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-174, 906, 0, -6, -378, 63, 0, 27, -150, -9, 0, 63, 0, -459, 0, 159, -18, -642, 0, 0, 90, -24, 0, -621, -162, -855, 0, 246, 228, -54, 0, 222, 306, 0, 0, 555, -114, 0, 0, 0, 288, 1176, 0, 924, 342, 219, 0, 9, -132, 297, 0, 126, -246, 621, 0, -123, 216, -132, 0, -198, 72, -81, 0, 57, 186, -630, 0, -288, -108, -57, 0, 75, -18, 135, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 189, 24, -1, 18, 0], [1, 1, 756, 46, 1, 18, 0]], "char_orbit_index": 46, "prim_orbit_index": 46, "minimal_twist": "756.2.bt.a", "char_is_minimal": true, "conrey_index": 103, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}