# Stored data for newform 465.2.t.d, downloaded from the LMFDB on 07 January 2026.
{"Nk2": 1860, "analytic_conductor": 3.7130436939895377, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 465, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 20, "char_orbit_label": "t", "char_order": 6, "char_parity": 1, "char_values": [465, 6, [311, 187, 406], [3, 3, 1]], "cm_discs": [], "conrey_index": 119, "dim": 104, "has_non_self_twist": 1, "hecke_cutters": [[2, [-12, 0, 1110, 0, -12942, 0, 63358, 0, -164613, 0, 253836, 0, -248099, 0, 159741, 0, -69071, 0, 20107, 0, -3876, 0, 473, 0, -33, 0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13512104585724369, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 31, 5, -1, 6, 0], [1, 1, 93, 7, 1, 6, 0], [1, 1, 155, 9, -1, 6, 0], [1, 1, 465, 20, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "465.2.t.d", "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.t.d", "prim_orbit_index": 20, "related_objects": [], "relative_dim": 52, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "465.2.t", "trace_display": [0, 0, 0, 0], "traces": [104, 0, 0, 56, 0, -12, 0, 0, -2, -20, 0, 0, 0, 0, 0, -24, 0, 0, 12, 0, -6, 0, 0, -48, 8, 0, 0, 0, 0, 0, -40, 0, 0, 108, 0, 36, 0, 0, 52, -76, 0, 0, 0, 0, -4, 0, 0, 0, 80, 0, -20, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, -156, 0, 0, 32, -56, 0, 0, 0, 0, 54, -120, 0, 0, -120, 0, 38, 0, 0, -42, 0, 0, 0, 0, 0, 66, 0, 0, 0, -120, 0, -54, 0, 0, 66, -88, 0, 0, 0, 0, -24, 0, 0, 0, 48, 0, 36, 0, 0, -12, -84, 0, 0, 0, 0, 0, -92, 0, 0, -80, 0, -180, 0, 0, -100, -132, 0, 0, 0, 0, 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60, 512, 0, 0, 0, 0, 0, 312, 0, 0, 96, 0, -708, 0, 0, -444, 188, 0, 0, 0, 0, 0, 104, 0, 0, -1956, 0, -50, 0, 0, -596, 208, 0, 0, 0, 0, -80, 0, 0, 0, -200, 0, 104, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, -800, 0, 496, 0, 0, 250, 56], "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}