# Stored data for newform 847.2.f.z, downloaded from the LMFDB on 24 April 2024.
{"label": "847.2.f.z", "space_label": "847.2.f", "level": 847, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112590334315201359, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -8, 68, -564, 4688, 640, 6895, 3392, 10312, -4376, 10368, -4924, 7889, -3032, 3916, -1656, 1856, -1112, 687, -304, 164, -52, 16, -4, 1]], [3, [256, -2304, 19136, -156544, 1278480, -1150240, 1632652, -1551956, 1601637, -315012, 584211, -77534, 243744, -67166, 57101, -15620, 10879, -1976, 1365, -254, 164, -32, 15, -2, 1]], [13, [65536, -131072, 409600, -819200, 2048000, -1310720, 4058112, -2916352, 11676416, -13670400, 15177664, -12965632, 12905408, -5654432, 2711988, -1049368, 373741, -35252, 16771, -1744, 989, -144, 35, -4, 1]]], "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "f", "char_is_real": false, "Nk2": 3388, "analytic_conductor": 6.763329051202448, "level_radical": 77, "self_twist_type": 0, "is_self_dual": false, 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"prim_orbit_index": 3, "minimal_twist": "847.2.a.m", "char_is_minimal": false, "conrey_index": 148, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}