# Stored data for newform 261.2.e.a, downloaded from the LMFDB on 27 September 2025.
{"Nk2": 1044, "analytic_conductor": 2.084095492755418, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 9, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [261, 3, [146, 118], [2, 3]], "cm_discs": [], "conrey_index": 88, "dim": 22, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, -13, 141, -516, 1833, 432, 6136, 1050, 9410, 2299, 9331, 1515, 5509, 812, 2304, 246, 627, 66, 121, 9, 14, 1, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 274911461637, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 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": "261.2.e.a", "level": 261, "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": [3, 29], "level_radical": 87, "minimal_twist": "261.2.e.a", "prim_orbit_index": 3, "related_objects": [], "relative_dim": 11, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "261.2.e", "trace_display": [-1, -2, 1, 7], "traces": [22, -1, -2, -5, 1, -1, 7, 6, -2, -20, -3, 10, 7, 10, -8, 7, 2, 2, -56, 4, 16, 13, -4, -33, 4, -12, 13, -32, 11, 46, 27, -7, -10, 19, -22, 19, -28, 5, 17, 24, 9, -50, 25, 46, -56, -20, -6, 33, 12, -41, -15, 20, -12, 5, -70, 10, 25, 1, 0, -48, 25, -12, -11, -50, -5, 29, 29, 50, 20, 7, -2, 30, -26, -14, 46, 38, -9, -39, 27, -74, -38, -34, 12, 60, 7, -1, -1, -5, 46, -35, -86, -19, 78, -10, -8, -75, 36, 86, -40, 22, -6, 24, 37, -16, -6, 8, 2, -77, -8, 38, 9, 15, 10, -81, 57, -10, -25, 18, -52, 47, 18, 77, -25, 20, -12, 94, -36, 20, 4, -12, -52, -15, -2, -44, 28, -60, 28, 46, 58, 11, 19, 5, -16, 0, 2, -28, 44, 10, 24, -78, 9, -60, -96, 40, 8, -2, 24, -51, -24, 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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}