# Stored data for newform 580.2.be.d, downloaded from the LMFDB on 29 April 2026.
{"Nk2": 2320, "analytic_conductor": 4.631323317234262, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 580, "char_degree": 12, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 31, "char_orbit_label": "be", "char_order": 28, "char_parity": 1, "char_values": [580, 28, [291, 117, 321], [14, 14, 9]], "cm_discs": [-20], "conrey_index": 19, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[3, [28561, 496522, 4315922, 50869832, 278117033, -184697666, 64144394, 16030020, 4707122, -23569426, 13706960, -6963154, 3015699, -783392, 183458, -36140, 1820, -996, -22, -10, 164, -50, 8, -4, 1]], [13, [0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13512860499968580, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 4, -1, 2, -20], [1, 1, 29, 6, -1, 28, 0], [1, 1, 580, 31, 1, 28, 0]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": true, "is_twist_minimal": true, "label": "580.2.be.d", "level": 580, "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, 29], "level_radical": 290, "minimal_twist": "580.2.be.c", "prim_orbit_index": 31, "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.1.d28", "self_twist_discs": [-20], "self_twist_type": 1, "space_label": "580.2.be", "trace_display": [4, 4, 0, -30], "traces": [24, 4, 4, 0, 0, 0, -30, -8, 0, 0, 0, -8, 0, -12, 70, 16, 0, 4, 0, 0, -12, 0, -10, -40, 20, 0, 58, 0, 12, 0, 0, -16, 0, 0, 0, 104, 0, 0, 0, 0, 24, -112, 0, 0, 0, -4, 0, -16, -28, -20, 0, 0, 0, -32, 0, 24, 0, -12, 0, 140, -16, 0, 0, 0, 0, 0, 0, 0, -4, -20, 0, 8, 0, 0, -20, 0, 0, 0, 0, 0, -20, -48, 44, 24, 0, 0, -12, 0, 12, -140, 0, -28, 0, 0, 0, 0, 0, 84, 0, 0, 36, 0, -90, 0, -160, 0, 52, -164, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, -264, 0, -192, 196, 0, 0, 0, 0, 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0, 0, 0, -132, -88, 0, 0, 0, -196, 0, -108, 0, 64, 0, 544, 0, -240, -804, 0, 0, -96, 0, 0, -120, 0, -60, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0], "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}