# Stored data for newform 728.2.cy.a, downloaded from the LMFDB on 30 January 2025.
{"Nk2": 2912, "analytic_conductor": 5.813109267149212, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 728, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 77, "char_orbit_label": "cy", "char_order": 6, "char_parity": 1, "char_values": [728, 6, [183, 365, 521, 561], [3, 3, 5, 3]], "cm_discs": [-104], "conrey_index": 467, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[3, [529, 1242, -891, -4374, 6039, 486, -1400, -54, 243, 0, -18, 0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 5222713787096, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 104, 8, -1, 2, -104], [1, 1, 7, 4, -1, 6, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 1, 56, 13, 1, 6, 0], [1, 1, 91, 19, -1, 6, 0], [1, 1, 728, 77, 1, 6, 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": "728.2.cy.a", "level": 728, "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, 7, 13], "level_radical": 182, "minimal_twist": "728.2.cy.a", "prim_orbit_index": 77, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.1.d6", "self_twist_discs": [-104], "self_twist_type": 1, "space_label": "728.2.cy", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, -24, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, -24, 0, 0, 0, 0, -72, -144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, -12, 0, -108, 72, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 96, -132, 0, 0, 0, 0, -240, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 144, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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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}