# Stored data for newform 144.4.l.a, downloaded from the LMFDB on 28 September 2025.
{"Nk2": 2304, "analytic_conductor": 8.496275040826648, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 48, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 12, "char_orbit_label": "l", "char_order": 4, "char_parity": 1, "char_values": [144, 4, [127, 37, 65], [2, 3, 2]], "cm_discs": [], "conrey_index": 35, "dim": 48, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 755981353104, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 16, 6, -1, 4, 0], [1, 1, 48, 11, 1, 4, 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": "144.4.l.a", "level": 144, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "144.4.l.a", "prim_orbit_index": 11, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "3.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "144.4.l", "trace_display": [0, 0, 0, 0], "traces": [48, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -144, 0, 0, -48, 0, 0, 72, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -984, 0, 0, 0, 0, 0, -1272, 0, 0, 864, 0, 0, -1416, 0, 0, 2352, 0, 0, -648, 0, 0, -576, 0, 0, 1128, 0, 0, 1824, 0, 0, 3024, 0, 0, 816, 0, 0, 2664, 0, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 0, 1200, 0, 0, -480, 0, 0, -4560, 0, 0, -3600, 0, 0, -11304, 0, 0, 0, 0, 0, -4968, 0, 0, -3744, 0, 0, 4800, 0, 0, -2784, 0, 0, 17328, 0, 0, -1776, 0, 0, 12960, 0, 0, 0, 0, 0, 5928, 0, 0, 0, 0, 0, -11400, 0, 0, 0, 0, 0, -19752, 0, 0, -6384, 0, 0, -17544, 0, 0, 0, 0, 0, -9480, 0, 0, 2784, 0, 0, 19392, 0, 0, -9792, 0, 0, 27360, 0, 0, 7968, 0, 0, 36072, 0, 0, 0, 0, 0, 18288, 0, 0, 0, 0, 0, -5688, 0, 0, 4512, 0, 0, -39648, 0, 0, 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-404064, 0, 0, 47184, 0, 0, -67008, 0, 0, -333600, 0, 0, -301056, 0, 0, -315816, 0, 0, 0, 0, 0, 12264, 0, 0, 0, 0, 0, 41016, 0, 0, 32640, 0, 0, 220008, 0, 0, 333504, 0, 0, 485952, 0, 0, -76992, 0, 0, -196008, 0, 0, 485952, 0, 0, -350400, 0, 0, -139872, 0, 0, -417216, 0, 0, 453744, 0, 0, -291480, 0, 0, 0, 0, 0, -467136, 0, 0, 0, 0, 0, -195312, 0, 0, -163008, 0, 0, 469248, 0, 0, -372000, 0, 0, 99720, 0, 0, 198864, 0, 0, -50448, 0, 0, -673536, 0, 0, -74496, 0, 0, -149472, 0, 0, -275328, 0, 0, -445872, 0, 0, -377376, 0, 0, 0, 0, 0, -76080, 0, 0, 0, 0, 0, 485136, 0, 0, -79968, 0, 0, 466560], "weight": 4, "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}