# Stored data for newform 252.2.ba.a, downloaded from the LMFDB on 25 April 2024. {"label": "252.2.ba.a", "space_label": "252.2.ba", "level": 252, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1786739949820, "dim": 72, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 36, "char_orbit_label": "ba", "char_is_real": false, "Nk2": 1008, "analytic_conductor": 2.0122301309362656, "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": [252, 6, [127, 29, 73], [3, 1, 6]], "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [155, 239], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 36, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [72, 0, 0, 0, 0, 6, 0, 0, 4, 0, 0, -12, 0, 0, 0, 0, 0, -34, 0, -42, 0, 0, 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-806, 0, 0, -152, -12, 0, 88, 0, -48, 0, 66, 0, -210, 0, -822, -416, 0, 0, -480, -144, 0, 0, 264], "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, 9, 4, -1, 6, 0], [1, 1, 36, 8, 1, 6, 0]], "char_orbit_index": 27, "prim_orbit_index": 8, "minimal_twist": "252.2.ba.a", "char_is_minimal": true, "conrey_index": 155, "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}