# Stored data for newform 465.2.ba.a, downloaded from the LMFDB on 10 May 2026.
{"Nk2": 1860, "analytic_conductor": 3.7130436939895377, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 155, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 27, "char_orbit_label": "ba", "char_order": 10, "char_parity": 1, "char_values": [465, 10, [311, 187, 406], [10, 5, 6]], "cm_discs": [], "conrey_index": 4, "dim": 128, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1786739950033, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 31, 4, 1, 5, 0], [1, 1, 155, 14, 1, 10, 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": "465.2.ba.a", "level": 465, "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": [3, 5, 31], "level_radical": 465, "minimal_twist": "465.2.ba.a", "prim_orbit_index": 14, "related_objects": [], "relative_dim": 32, "rm_discs": [], "sato_tate_group": "1.2.3.c10", "self_twist_discs": [], "self_twist_type": 0, "space_label": "465.2.ba", "trace_display": [0, 0, 0, 0], "traces": [128, 0, 0, 36, 0, -20, 0, 0, 32, 2, 0, 0, 0, 4, -4, -40, 0, 0, -4, 36, 20, 0, 0, -20, 12, 24, 0, 0, -28, -8, -12, 0, 0, -44, 0, 124, 0, 0, -4, -22, 36, 0, 0, -80, 0, 46, 0, 0, 64, 68, -8, 0, 0, -10, 12, -432, 0, 0, 88, 12, -120, 0, 0, 40, -4, 12, 0, 0, -24, -74, 44, 0, 0, 132, -12, -14, 0, 0, -132, 70, -32, 0, 0, 8, 48, -104, 0, 0, 52, -2, -32, 0, 0, -204, 34, -20, 0, 0, 0, -54, -24, 0, 0, -132, -58, 154, 0, 0, -68, -72, 40, 0, 0, -102, 38, 92, 0, 0, -136, -56, -24, 0, 0, 64, -48, 36, 0, 0, -104, -144, 168, 0, 0, -92, -6, 64, 0, 0, -60, 2, 48, 0, 0, 10, -22, -72, 0, 0, 416, -40, 36, 0, 0, 224, 50, -32, 0, 0, 48, 176, 208, 0, 0, 60, -32, 16, 0, 0, 52, -116, 4, 0, 0, 144, 50, 60, 0, 0, 24, 44, -152, 0, 0, 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0, 0, 0, 224, 10, 460, 0, 0, 216, 44, 4, 0, 0, 232, -560, 26, 0, 0, -36, -318, 260, 0, 0, -268, -290, 530, 0, 0, 488, -712, 104, 0, 0, -1064, -88, -376, 0, 0, 728, 80, -904, 0, 0, 358, -312, -8, 0, 0, 44, 394, -228, 0, 0, -344, 58, -328, 0, 0, 140, 130, 144, 0, 0, -54, 736, -656, 0, 0, -516, 196, -792, 0, 0, -308, 554, 80, 0, 0, -128, 86, -416, 0, 0, -600, -200, 186, 0, 0, 56, 1280, -112, 0, 0, -228, 612, -1992, 0, 0, 152, -28, -224, 0, 0, -136, 112, 6, 0, 0, 20, -224], "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}