# Stored data for newform 126.12.g.b, downloaded from the LMFDB on 14 September 2026.
{"Nk2": 18144, "analytic_conductor": 96.8112407505082, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 7, "char_orbit_label": "g", "char_order": 3, "char_parity": 1, "char_values": [126, 3, [29, 73], [3, 1]], "cm_discs": [], "conrey_index": 37, "dim": 6, "field_disc": -4032205063505233200, "field_disc_factorization": [[-1, 1], [2, 4], [3, 3], [5, 2], [521, 2], [37087, 2]], "field_poly": [729, -40905, 2295252, 1461, 1516, -1, 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, [52022961950330250000, -75036545961300000, 100693465807500, -25296942000, 11495425, 1045, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504012145557630, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 37632, "hecke_ring_index_factorization": [[2, 8], [3, 1], [7, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 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": "126.12.g.b", "level": 126, "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": "42.12.e.a", "prim_orbit_index": 3, "qexp_display": "q+(2^{5}+2^{5}\\beta _{2})q^{2}+2^{10}\\beta _{2}q^{4}+(-350+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "11.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "126.12.g", "trace_display": [96, 0, -1045, 45731], "trace_hash": 439633598930743679, "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 4}, {"__RealLiteral__": 0, 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