# Stored data for newform 507.2.f.g, downloaded from the LMFDB on 20 April 2024.
{"label": "507.2.f.g", "space_label": "507.2.f", "level": 507, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021941395161595, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [169, 0, 0, 0, 11531, 0, 0, 0, 37725, 0, 0, 0, 16327, 0, 0, 0, 1885, 0, 0, 0, 79, 0, 0, 0, 1]], [5, [4826809, 0, 0, 0, 10383698, 0, 0, 0, 4403113, 0, 0, 0, 611594, 0, 0, 0, 22390, 0, 0, 0, 272, 0, 0, 0, 1]], [7, [1698181681, 0, 0, 0, 1229789799, 0, 0, 0, 175807737, 0, 0, 0, 6865831, 0, 0, 0, 104321, 0, 0, 0, 623, 0, 0, 0, 1]]], "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 39, "char_orbit_label": "f", "char_is_real": false, "Nk2": 2028, "analytic_conductor": 4.0484153824789155, "level_radical": 39, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [507, 4, [170, 340], [2, 3]], "inner_twist_count": 8, "level_primes": [3, 13], "conrey_indexes": [239, 437], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, -56, 0, 0, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, -4, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 140, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 28, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -60, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, -568, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 308, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, -252, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -56, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, -536, 0, 0, 0, 0, -308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -368, 0, 80, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 504, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, -632, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -296, 0, -168, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -560, 0, -308, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 112, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 464, 0, 252, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 800, 0, -196, 0, 0, 0, 0, 0, -532, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 592, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, -396, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 1000, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 672, 0, -112, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, -268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 456, 0, -140, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 1064, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 216, 0, 0, 0, 0, 0, -420, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, -672, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 616, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 8, 0, 0, 0, 0, 0, -308, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1120, 0, 4, 0, 0, 0, 0, 0, -728, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -344, 0, 588, 0, 0, 0, 0, 0, 740, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 96, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 13, 2, 1, 2, 0], [1, 2, 13, 4, -1, 4, 0], [1, 1, 39, 4, -1, 2, 0], [1, 2, 39, 6, 1, 4, 0]], "char_orbit_index": 6, "prim_orbit_index": 6, "minimal_twist": "507.2.f.g", "char_is_minimal": true, "conrey_index": 239, "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}