# Stored data for newform 627.2.be.a, downloaded from the LMFDB on 20 January 2025.
{"Nk2": 2508, "analytic_conductor": 5.00662020673428, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 209, "char_degree": 6, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 31, "char_orbit_label": "be", "char_order": 18, "char_parity": 1, "char_values": [627, 18, [419, 343, 496], [18, 9, 17]], "cm_discs": [], "conrey_index": 10, "dim": 240, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 2061617857139, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], [1, 1, 19, 6, -1, 18, 0], [1, 1, 209, 16, 1, 18, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "627.2.be.a", "level": 627, "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": true, "level_primes": [3, 11, 19], "level_radical": 627, "minimal_twist": "627.2.be.a", "prim_orbit_index": 16, "related_objects": [], "relative_dim": 40, "rm_discs": [], "sato_tate_group": "1.2.3.c18", "self_twist_discs": [], "self_twist_type": 0, "space_label": "627.2.be", "trace_display": [0, 0, 0, 0], "traces": [240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -48, 24, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, -36, 0, -6, -132, 0, 0, 0, 180, 0, 0, 0, 12, 0, -24, -12, 0, 72, 48, 132, 0, 0, 0, 108, 0, -30, 0, 0, -24, 0, 48, 0, 0, 0, -120, 0, -48, 48, 0, 0, -228, -84, 0, 0, 0, 0, 0, -72, 84, 0, -24, 0, -156, 0, 0, 0, 48, 0, 108, 144, 0, -24, -60, -24, 0, 0, 0, 0, 0, -12, 48, 0, 0, 0, -264, 0, 0, 0, 0, 0, -60, 24, 0, 0, -24, -24, 0, 0, 0, 108, 0, -42, 0, 0, 0, 144, -72, 0, 0, 0, 60, 0, 0, -216, 0, -12, -144, -84, 0, 0, 0, 72, 0, 210, 120, 0, 264, -48, -36, 0, 0, 0, -168, 0, 258, -420, 0, -48, -48, 12, 0, 0, 0, -180, 0, 48, -324, 0, 96, -36, 0, 0, 0, 0, -48, 0, 264, 84, 0, -144, 0, -24, 0, 0, 0, 216, 0, -42, 216, 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0, 0, 360, 0, 36, 12, 0, -96, -1104, 444, 0, 0, 0, -300, 0, 306, -276, 0, 672, 288, -1608, 0, 0, 0, 264, 0, -516, -408, 0, 0, -300, -24, 0, 0, 0, 456, 0, 60, -1368, 0, -192, 108, -324, 0, 0, 0, -864, 0, 0, -216, 0, 0, 0, 360, 0, 0, 0, -504, 0, -186, -468, 0, -432, 1080, 0, 0, 0, 0, 828, 0, 174, -408, 0, -24, 60, -168, 0, 0, 0, 24, 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}