# Stored data for newform 7056.2.b.u, downloaded from the LMFDB on 11 February 2025.
{"Nk2": 28224, "analytic_conductor": 56.34244366621544, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 28, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": 1, "char_values": [7056, 2, [6175, 1765, 785, 4609], [1, 2, 2, 1]], "cm_discs": [], "conrey_index": 1567, "dim": 4, "field_disc": 2048, "field_disc_factorization": [[2, 11]], "field_poly": [2, 0, 4, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[5, [2, 0, 4, 0, 1]], [11, [128, 0, 32, 0, 1]], [13, [2, 0, 20, 0, 1]], [17, [98, 0, 20, 0, 1]], [19, [-32, 0, 1]], [31, [-16, -8, 1]], [53, [-16, -8, 1]]], "hecke_orbit": 21, "hecke_orbit_code": 90072061300448144, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 28, 4, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "7056.2.b.u", "level": 7056, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3, 7], "level_radical": 42, "minimal_twist": "2352.2.b.i", "nf_label": "4.0.2048.2", "prim_orbit_index": 4, "qexp_display": "q+\\beta _{1}q^{5}+(2\\beta _{1}-2\\beta _{3})q^{11}+(2\\beta _{1}-\\beta _{3})q^{13}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7056.2.b", "trace_display": [0, 0, 0, 0], "trace_hash": 973434116871727146, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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