# Stored data for newform 736.2.x.a, downloaded from the LMFDB on 08 August 2026.
{"Nk2": 2944, "analytic_conductor": 5.876989588766237, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 184, "char_degree": 10, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 24, "char_orbit_label": "x", "char_order": 22, "char_parity": 1, "char_values": [736, 22, [415, 645, 97], [22, 11, 16]], "cm_discs": [], "conrey_index": 49, "dim": 220, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1580581520096, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], [1, 1, 23, 3, 1, 11, 0], [1, 1, 184, 16, 1, 22, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "736.2.x.a", "level": 736, "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, 23], "level_radical": 46, "minimal_twist": "184.2.p.a", "prim_orbit_index": 16, "related_objects": [], "relative_dim": 22, "rm_discs": [], "sato_tate_group": "1.2.3.c22", "self_twist_discs": [], "self_twist_type": 0, "space_label": "736.2.x", "trace_display": [0, 0, 0, 22], "traces": [220, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 22, 0, -18, 0, 0, 0, 0, 0, 16, 0, -4, 0, 0, 0, 0, 0, 34, 0, -30, 0, 0, 0, 0, 0, 18, 0, -18, 0, 0, 0, 0, 0, 40, 0, -28, 0, 0, 0, 0, 0, 38, 0, -30, 0, 0, 0, 0, 0, -18, 0, -38, 0, 0, 0, 0, 0, 26, 0, -18, 0, 0, 0, 0, 0, 22, 0, -52, 0, 0, 0, 0, 0, 42, 0, -2, 0, 0, 0, 0, 0, 78, 0, -18, 0, 0, 0, 0, 0, 38, 0, -6, 0, 0, 0, 0, 0, -2, 0, -50, 0, 0, 0, 0, 0, -50, 0, 16, 0, 0, 0, 0, 0, 42, 0, -46, 0, 0, 0, 0, 0, -20, 0, -8, 0, 0, 0, 0, 0, -18, 0, -38, 0, 0, 0, 0, 0, -54, 0, 6, 0, 0, 0, 0, 0, -2, 0, -22, 0, 0, 0, 0, 0, -174, 0, -36, 0, 0, 0, 0, 0, -442, 0, -78, 0, 0, 0, 0, 0, -268, 0, -28, 0, 0, 0, 0, 0, -286, 0, -50, 0, 0, 0, 0, 0, -298, 0, 34, 0, 0, 0, 0, 0, -180, 0, -46, 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"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}