# Stored data for newform 140.2.w.b, downloaded from the LMFDB on 16 November 2024.
{"Nk2": 560, "analytic_conductor": 1.1179056282979254, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 140, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 23, "char_orbit_label": "w", "char_order": 12, "char_parity": 1, "char_values": [140, 12, [71, 57, 101], [6, 9, 4]], "cm_discs": [], "conrey_index": 23, "dim": 72, "has_non_self_twist": 1, "hecke_cutters": [[3, [136048896, 0, 0, 0, -6239120256, 0, 0, 0, 224644412848, 0, 0, 0, -2513981899288, 0, 0, 0, 20656199378249, 0, 0, 0, -57770759256399, 0, 0, 0, 114237438624740, 0, 0, 0, -105455688189725, 0, 0, 0, 69024525652545, 0, 0, 0, -25251533070706, 0, 0, 0, 6449394079565, 0, 0, 0, -631596499705, 0, 0, 0, 42135437541, 0, 0, 0, -1771981650, 0, 0, 0, 54628057, 0, 0, 0, -1150565, 0, 0, 0, 17716, 0, 0, 0, -167, 0, 0, 0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4505111489413260, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 20, 5, 1, 4, 0], [1, 1, 28, 7, -1, 6, 0], [1, 1, 35, 12, -1, 12, 0], [1, 1, 140, 23, 1, 12, 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": "140.2.w.b", "level": 140, "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": false, "level_primes": [2, 5, 7], "level_radical": 70, "minimal_twist": "140.2.w.b", "prim_orbit_index": 23, "related_objects": [], "relative_dim": 18, "rm_discs": [], "sato_tate_group": "1.2.3.c12", "self_twist_discs": [], "self_twist_type": 0, "space_label": "140.2.w", "trace_display": [2, 0, -8, 0], "traces": [72, 2, 0, 0, -8, -16, 0, -4, 0, 2, 0, 10, 0, 0, 0, -28, 4, -20, 0, -56, 4, -16, 0, 0, -16, -4, 0, 42, 0, -32, 0, -38, -64, 0, 0, 16, -4, 12, 0, 2, -40, 78, 0, 0, -12, -28, 0, 12, 0, -28, 0, 48, -24, 0, 0, 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-72, 264, 0, 0, -244, 32, 76, 0, 164], "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}