# Stored data for newform 7105.2.a.t, downloaded from the LMFDB on 14 December 2025.
{"Nk2": 28420, "analytic_conductor": 56.73371063611971, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [7, -1], [29, -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": [7105, 1, [1422, 6961, 2206], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 1297633133648, "field_disc_factorization": [[2, 4], [43, 1], [107, 1], [17627053, 1]], "field_poly": [4, 9, -16, -25, 25, 11, -10, -1, 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": [[2, [4, 9, -16, -25, 25, 11, -10, -1, 1]], [3, [16, -80, 32, 140, -5, -57, -11, 4, 1]], [17, [-2432, -8576, -10272, -4704, -170, 535, 175, 22, 1]]], "hecke_orbit": 20, "hecke_orbit_code": 85568392953600961, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": "7105.2.a.t", "level": 7105, "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": [5, 7, 29], "level_radical": 1015, "minimal_twist": "1015.2.a.l", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{4}q^{3}+(1+\\beta _{2})q^{4}-q^{5}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7105.2.a", "trace_display": [1, -4, -8, 0], "trace_hash": 1354786150097150777, 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