# Stored data for newform 275.3.f.c, downloaded from the LMFDB on 10 September 2025.
{"Nk2": 2475, "analytic_conductor": 7.493207269908165, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 4, "char_parity": -1, "char_values": [275, 4, [177, 101], [1, 4]], "cm_discs": [], "conrey_index": 232, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [[2, [531441, 0, 0, 0, 16119648, 0, 0, 0, 9581632, 0, 0, 0, 1532498, 0, 0, 0, 41712, 0, 0, 0, 368, 0, 0, 0, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007542902456595, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 2, 5, 3, -1, 4, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "275.3.f.c", "level": 275, "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": [5, 11], "level_radical": 55, "minimal_twist": "275.3.f.c", "prim_orbit_index": 3, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "2.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "275.3.f", "trace_display": [0, 0, 0, 0], "traces": [24, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, -88, 0, 0, 0, 0, 96, 0, 0, 0, 0, 360, 0, 0, 0, 0, 176, 0, 0, 0, 0, -152, 0, 0, 0, 0, 56, 0, 0, 0, 0, -512, 0, 0, 0, 0, -1048, 0, 0, 0, 0, 784, 0, 0, 0, 0, -440, 0, 0, 0, 0, 728, 0, 0, 0, 0, 1704, 0, 0, 0, 0, -568, 0, 0, 0, 0, -328, 0, 0, 0, 0, -968, 0, 0, 0, 0, 1568, 0, 0, 0, 0, 160, 0, 0, 0, 0, -2280, 0, 0, 0, 0, -2792, 0, 0, 0, 0, 1712, 0, 0, 0, 0, 264, 0, 0, 0, 0, 2968, 0, 0, 0, 0, 704, 0, 0, 0, 0, -1928, 0, 0, 0, 0, 952, 0, 0, 0, 0, -1768, 0, 0, 0, 0, 2024, 0, 0, 0, 0, -480, 0, 0, 0, 0, -456, 0, 0, 0, 0, -1944, 0, 0, 0, 0, 3064, 0, 0, 0, 0, -1056, 0, 0, 0, 0, -808, 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-2184, 0, 0, 0, 0, -23448, 0, 0, 0, 0], "weight": 3, "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}