# Stored data for newform 7350.2.a.dt, downloaded from the LMFDB on 22 September 2025.
{"Nk2": 29400, "analytic_conductor": 58.69004548564108, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1], [7, 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": [7350, 1, [4901, 1177, 2551], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 10304, "field_disc_factorization": [[2, 6], [7, 1], [23, 1]], "field_poly": [8, 8, -7, -2, 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": [[11, [32, -16, -18, 0, 1]], [13, [-16, -48, -26, 0, 1]], [17, [124, -8, -32, 4, 1]], [19, [-448, -224, 12, 12, 1]], [23, [128, 0, -36, -4, 1]], [31, [64, 128, 78, 16, 1]]], "hecke_orbit": 98, "hecke_orbit_code": 436849163888499894, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "7350.2.a.dt", "level": 7350, "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, 5, 7], "level_radical": 210, "minimal_twist": "1470.2.g.j", "nf_label": "4.4.10304.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7350.2.a", "trace_display": [4, -4, 0, 0], "trace_hash": 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