# Stored data for newform 495.3.e.a, downloaded from the LMFDB on 12 September 2025.
{"Nk2": 4455, "analytic_conductor": 13.487773085834696, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 3, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 2, "char_parity": -1, "char_values": [495, 2, [56, 397, 46], [1, 2, 2]], "cm_discs": [], "conrey_index": 386, "dim": 24, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 274928239087, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 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": "495.3.e.a", "level": 495, "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, 5, 11], "level_radical": 165, "minimal_twist": "495.3.e.a", "prim_orbit_index": 2, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "2.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "495.3.e", "trace_display": [0, 0, 0, -32], "traces": [24, 0, 0, -40, 0, 0, -32, 0, 0, 40, 0, 0, 48, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 128, 0, 0, 96, 0, 0, 112, 0, 0, -320, 0, 0, -120, 0, 0, 208, 0, 0, -288, 0, 0, 296, 0, 0, -192, 0, 0, 0, 0, 0, 96, 0, 0, 400, 0, 0, 440, 0, 0, -288, 0, 0, 0, 0, 0, -480, 0, 0, 32, 0, 0, -544, 0, 0, 96, 0, 0, -320, 0, 0, 0, 0, 0, 384, 0, 0, 160, 0, 0, 576, 0, 0, 200, 0, 0, -96, 0, 0, -560, 0, 0, 816, 0, 0, -512, 0, 0, 320, 0, 0, -64, 0, 0, -264, 0, 0, -464, 0, 0, -48, 0, 0, 80, 0, 0, -192, 0, 0, -640, 0, 0, -160, 0, 0, 1056, 0, 0, 80, 0, 0, 800, 0, 0, 160, 0, 0, -176, 0, 0, -544, 0, 0, 280, 0, 0, -160, 0, 0, 560, 0, 0, -776, 0, 0, -736, 0, 0, 160, 0, 0, -960, 0, 0, 560, 0, 0, 512, 0, 0, 176, 0, 0, 0, 0, 0, -432, 0, 0, 632, 0, 0, -464, 0, 0, 1616, 0, 0, 80, 0, 0, 1296, 0, 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4416, 0, 0, -6200, 0, 0, -8976, 0, 0, -4208, 0, 0, 3440, 0, 0, -11168, 0, 0, 6160, 0, 0, 352, 0, 0, -4176, 0, 0, 960, 0, 0, -19984, 0, 0, 1920, 0, 0, 272, 0, 0, -976, 0, 0, 600], "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}