# Stored data for newform 9702.2.a.ec, downloaded from the LMFDB on 08 December 2024.
{"Nk2": 38808, "analytic_conductor": 77.47086004104622, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 1], [11, -1]], "atkin_lehner_string": "--+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [9702, 1, [4313, 199, 5293], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 14336, "field_disc_factorization": [[2, 11], [7, 1]], "field_poly": [14, 0, -8, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [56, 0, -16, 0, 1]], [13, [164, -32, -36, 0, 1]], [17, [-8, -32, -32, 0, 1]], [19, [-4, 80, -36, 0, 1]], [23, [-1168, 608, -56, -8, 1]], [29, [-8, 0, 1]]], "hecke_orbit": 107, "hecke_orbit_code": 477381560534836710, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "9702.2.a.ec", "level": 9702, "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, 11], "level_radical": 462, "minimal_twist": "3234.2.a.bj", "nf_label": "4.4.14336.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}+\\beta _{2}q^{5}+q^{8}+\\beta _{2}q^{10}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9702.2.a", "trace_display": [4, 0, 0, 0], "trace_hash": 1560440389598281816, 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