# Stored data for newform 435.2.q.d, downloaded from the LMFDB on 18 September 2024.
{"Nk2": 1740, "analytic_conductor": 3.4734924879256965, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 87, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 17, "char_orbit_label": "q", "char_order": 4, "char_parity": 1, "char_values": [435, 4, [146, 262, 31], [2, 4, 1]], "cm_discs": [], "conrey_index": 41, "dim": 36, "has_non_self_twist": 1, "hecke_cutters": [[2, [16, 512, 8192, -114240, 664185, -2007280, 3541120, -3164032, 2569441, -5557036, 12041536, -8457516, 3356554, -4028452, 12321160, -6475020, 1926099, -1478868, 4437040, -2119484, 558414, -265528, 665352, -319664, 80983, -18892, 41864, -20516, 5142, -484, 1008, -500, 125, -4, 8, -4, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13511898427294131, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 87, 6, 1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "435.2.q.d", "level": 435, "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, 29], "level_radical": 435, "minimal_twist": "435.2.q.c", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 18, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "435.2.q", "trace_display": [4, 2, 36, 8], "traces": [36, 4, 2, 0, 36, -8, 8, -4, 0, 4, 12, 10, 0, -28, 2, -60, 20, 32, 16, 0, -12, 0, 0, 24, 36, -4, -22, 0, 28, -8, -8, 16, 8, 0, 8, -28, -4, -24, -24, -4, -48, 8, 4, -16, 0, 20, 20, -66, 28, 4, 0, -44, 0, -24, 12, 84, -28, -64, 0, 10, 20, -8, -32, 0, 0, -8, 0, -60, -36, -28, 16, 64, 8, 0, 2, 16, -32, 48, 12, -60, -60, 56, 0, 100, 20, -8, -10, -24, -20, 32, 0, 16, -24, 52, 16, 8, 4, 8, 32, 0, -60, -20, 8, 60, -12, -40, 0, -114, 0, 0, -12, 52, 16, -80, 0, -96, 12, -84, 20, 24, 0, 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-4], "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}