# Stored data for newform 45.12.a.h, downloaded from the LMFDB on 10 February 2025.
{"Nk2": 6480, "analytic_conductor": 34.5754431251815, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, 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": [45, 1, [11, 37], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 26902474345, "field_disc_factorization": [[5, 1], [11617, 1], [463157, 1]], "field_poly": [16128, -6374, -795, 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": [[2, [-1488000, 340000, -4890, -75, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197592920109, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 81000, "hecke_ring_index_factorization": [[2, 3], [3, 4], [5, 3]], "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": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "45.12.a.h", "level": 45, "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": [3, 5], "level_radical": 15, "minimal_twist": "45.12.a.g", "prim_orbit_index": 1, "qexp_display": "q+(19-\\beta _{1})q^{2}+(1807-15\\beta _{1}-\\beta _{3})q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "11.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "45.12.a", "trace_display": [75, 0, -12500, -62080], "trace_hash": 54272703925541767, "trace_moments": [{"__RealLiteral__": 0, "data": "0.056", "prec": 17}, {"__RealLiteral__": 0, "data": "3.765", "prec": 17}, 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