# Stored data for newform 756.3.p.a, downloaded from the LMFDB on 26 September 2025.
{"Nk2": 6804, "analytic_conductor": 20.599507985638446, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 63, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 6, "char_parity": -1, "char_values": [756, 6, [379, 29, 325], [6, 4, 5]], "cm_discs": [], "conrey_index": 397, "dim": 32, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1030842483444, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 11, -1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "756.3.p.a", "level": 756, "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": [2, 3, 7], "level_radical": 42, "minimal_twist": "252.3.p.a", "prim_orbit_index": 11, "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "2.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "756.3.p", "trace_display": [0, 0, 0, 1], "traces": [32, 0, 0, 0, 0, 0, 1, 0, 0, 0, 12, 0, 15, 0, 0, 0, 27, 0, 0, 0, 0, 0, -30, 0, -160, 0, 0, 0, -24, 0, -24, 0, 0, 0, -141, 0, 11, 0, 0, 0, 90, 0, -16, 0, 0, 0, -108, 0, -61, 0, 0, 0, -54, 0, 0, 0, 0, 0, -45, 0, -165, 0, 0, 0, 33, 0, -35, 0, 0, 0, -138, 0, 0, 0, 0, 0, 123, 0, 37, 0, 0, 0, -378, 0, 30, 0, 0, 0, 261, 0, 45, 0, 0, 0, 48, 0, -57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 345, 0, 26, 0, 0, 0, 63, 0, 0, 0, 0, 0, 516, 0, 196, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -108, 0, 0, 0, -276, 0, -204, 0, 0, 0, -783, 0, -360, 0, 0, 0, -630, 0, 302, 0, 0, 0, -72, 0, 144, 0, 0, 0, -222, 0, -74, 0, 0, 0, 18, 0, 425, 0, 0, 0, -459, 0, -50, 0, 0, 0, 474, 0, 0, 0, 0, 0, 1116, 0, 27, 0, 0, 0, 816, 0, 158, 0, 0, 0, -762, 0, -231, 0, 0, 0, -777, 0, -3, 0, 0, 0, -144, 0, -229, 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0, 0, 0, -336, 0, 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}