# Stored data for newform 165.2.s.a, downloaded from the LMFDB on 19 April 2024. {"label": "165.2.s.a", "space_label": "165.2.s", "level": 165, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1236984135845, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 55, "char_orbit_label": "s", "char_is_real": false, "Nk2": 660, "analytic_conductor": 1.3175316333511264, "level_radical": 165, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [165, 10, [56, 67, 46], [10, 5, 2]], "inner_twist_count": 4, "level_primes": [3, 5, 11], "conrey_indexes": [4, 49, 64, 124], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c10", "trace_display": [0, 0, -4, 0], "traces": [48, 0, 0, 12, -4, 4, 0, 0, 12, -12, 0, 0, 0, -4, 10, -44, 0, 0, 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-348, -680, -28, 0, 0, -384, -110, -56, 0, 0, 40, 60, 208, 0, 0, -552, -116, -168, 0, 0, 20, -756], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 55, 10, 1, 10, 0]], "char_orbit_index": 19, "prim_orbit_index": 10, "minimal_twist": "165.2.s.a", "char_is_minimal": true, "conrey_index": 4, "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}