# Stored data for newform 143.2.o.a, downloaded from the LMFDB on 22 September 2025.
{"Nk2": 572, "analytic_conductor": 1.1418607489043096, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 143, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 15, "char_orbit_label": "o", "char_order": 12, "char_parity": 1, "char_values": [143, 12, [79, 67], [6, 5]], "cm_discs": [], "conrey_index": 32, "dim": 48, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 962106228879, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], [1, 1, 13, 6, -1, 12, 0], [1, 1, 143, 15, 1, 12, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "143.2.o.a", "level": 143, "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": true, "level_primes": [11, 13], "level_radical": 143, "minimal_twist": "143.2.o.a", "prim_orbit_index": 15, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c12", "self_twist_discs": [], "self_twist_type": 0, "space_label": "143.2.o", "trace_display": [0, -4, -8, 0], "traces": [48, 0, -4, -12, -8, 0, 0, 0, -20, 0, 8, 0, 0, -16, 12, -8, 0, 0, 0, -52, 0, 12, 0, 0, 0, -36, -16, 0, 0, 0, 4, 0, 48, -12, 0, 120, -20, 0, 0, 0, 0, -12, 0, 8, 8, 0, 40, -48, -12, 0, 0, 0, 24, 0, 12, -132, 0, 28, -40, 20, 0, 0, 0, 0, 0, -32, -60, 0, -12, 92, 0, 0, 0, 0, -96, 0, 0, 12, 0, 148, 16, 156, 0, 0, 0, -76, 0, -48, 68, 0, -84, 24, 24, 0, 0, 0, 4, 0, 16, 0, 0, -124, 0, -12, 0, 0, 0, 144, 0, 40, 164, 0, 0, -48, -80, 0, 0, 0, 112, 0, -72, 156, 0, -4, 44, 28, 0, 0, 0, 100, 0, -228, 96, 0, -328, -104, -112, 0, 0, 0, -4, 0, 40, 8, 0, -156, 72, -216, 0, 0, 0, -4, 0, 68, 0, 0, -176, 36, -100, 0, 0, 0, -44, 0, 40, -156, 0, 0, 124, 64, 0, 0, 0, 108, 0, 68, -84, 0, 96, 64, 0, 0, 0, 0, -12, 0, 76, -116, 0, 172, 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332, 0, 0, 0, 192, 0, 0, 548, 0, 780, 4, 456, 0, 0, 0, -104, 0, -372, 72, 0, 0, -64, 516, 0, 0, 0, 412, 0, -232, -104, 0, -364, 0, 108, 0, 0, 0, -84, 0, -48, 168, 0, -12, -72, 204, 0, 0, 0, -196, 0, -216, 568, 0, -508, 16, 284, 0, 0, 0, 372, 0, -276, 308, 0, -280, 332, -296, 0, 0, 0, -316, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}