# Stored data for newform 252.8.e.a, downloaded from the LMFDB on 13 January 2025.
{"Nk2": 16128, "analytic_conductor": 78.72102642199869, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 12, "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": [252, 2, [127, 29, 73], [1, 1, 2]], "cm_discs": [], "conrey_index": 71, "dim": 84, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 275012124924, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 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": "252.8.e.a", "level": 252, "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": "252.8.e.a", "prim_orbit_index": 2, "related_objects": [], "relative_dim": 84, "rm_discs": [], "sato_tate_group": "7.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "252.8.e", "trace_display": [0, 0, 0, 0], "traces": [84, 0, 0, 104, 0, 0, 0, 0, 0, -5816, 0, 0, 0, 0, 0, 16684, 0, 0, 0, 0, 0, -201700, 0, 0, -1312500, 0, 0, 39788, 0, 0, 0, 0, 0, -400048, 0, 0, -165544, 0, 0, -1477624, 0, 0, 0, 0, 0, 1616724, 0, 0, -9882516, 0, 0, -3744592, 0, 0, 0, 0, 0, 12053212, 0, 0, -8764504, 0, 0, -5645200, 0, 0, 0, 0, 0, 8997576, 0, 0, 0, 0, 0, -38069208, 0, 0, 0, 0, 0, 24696392, 0, 0, -29977064, 0, 0, -48692036, 0, 0, 0, 0, 0, 73638456, 0, 0, 0, 0, 0, -101815032, 0, 0, 0, 0, 0, 2350444, 0, 0, 24592912, 0, 0, -33795104, 0, 0, 0, 0, 0, -28246984, 0, 0, 194564500, 0, 0, 110680776, 0, 0, 0, 0, 0, 69214624, 0, 0, -6920368, 0, 0, 214630080, 0, 0, 0, 0, 0, -131413204, 0, 0, 208346440, 0, 0, 428614896, 0, 0, 0, 0, 0, 6356476, 0, 0, -443626088, 0, 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"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}