# Stored data for newform 588.2.o.e, downloaded from the LMFDB on 02 September 2025.
{"Nk2": 2352, "analytic_conductor": 4.695203638851287, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 28, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 15, "char_orbit_label": "o", "char_order": 6, "char_parity": 1, "char_values": [588, 6, [295, 197, 493], [3, 6, 5]], "cm_discs": [], "conrey_index": 19, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[5, [64, 0, -4224, 0, 259360, 0, -1248448, 0, 4784928, 0, -4618400, 0, 3291336, 0, -760528, 0, 121032, 0, -11864, 0, 850, 0, -36, 0, 1]], [11, [3873527824384, 0, -3862443327488, 0, 2662798688256, 0, -899134988288, 0, 214149619968, 0, -28235791872, 0, 2641219456, 0, -169942016, 0, 8159792, 0, -274816, 0, 6776, 0, -104, 0, 1]], [19, [65536, 327680, 1968128, -1632256, 1681472, -143104, 93248, -3584, 3896, -64, 72, 0, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18015360615711308, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 28, 4, 1, 2, 0], [1, 1, 28, 6, 1, 6, 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": "588.2.o.e", "level": 588, "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, 3, 7], "level_radical": 42, "minimal_twist": "588.2.b.c", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "588.2.o", "trace_display": [-4, -12, 0, 0], "traces": [24, -4, -12, 4, 0, 8, 0, 8, -12, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, -48, 0, 0, 0, -4, 12, -24, 24, 0, 64, 0, -16, -4, 0, 64, 0, -8, -32, 24, 0, 32, 0, 0, 0, 24, 0, -24, 0, -8, 0, -56, 0, -32, 32, -4, 32, 0, 0, -16, 16, 24, 0, 16, 0, -8, 0, 0, 0, 8, 0, 0, 0, -4, 0, 32, 12, -64, 0, 48, 0, 16, -12, -32, 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-16, -160, 64, 0, 120, 32, -32, -48, 0, 0, 0, -208, 32, -112, 0, -24, 0, 0, 0, -144, 0, -16, 32, -128, 0, -288, 0, -4, -72, -144, -56, 0, -256, -24, -160, 40, 0, 448, 0, 64, -80, 96, 0, 0, 0, 0, 0, -96, 0, 32, -32, 0, 0, 192, 0, -16, 128, -56, -160, 0, 128, 16, 128, -20, 0, -112, 0, -192, -72, 88, 0, 72, 0, 0, 0, 32, 0, -16, -32, -160, 0, 64, 0, -168, 32, 96, -64, 0, -48, 48, 16, -72, 0, 176, 0, 64, -192, -128, 0, 64, 0, 0, 0, 200, 0, -16, 112, 144, 0, 64, 0, -8, 160, 104, -80, 0, -176, 24, -144, 80, 0, -96, 0, 80, 20, -104, 0, 0, 0, 0, 0, -68, 0, 128, -112, -8, 0, 240, 0, -80, -128, 48, 32, 0, 32, -56, 160, -16, 0, -144, 0, 496, 160, -40, 0, -8, 0, 0, 0, -16, 0, -200, -32, 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}