# Stored data for newform 637.6.a.e, downloaded from the LMFDB on 14 February 2025.
{"Nk2": 22932, "analytic_conductor": 102.16449322086866, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[7, -1], [13, -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": [637, 1, [248, 197], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 592055115320665744810926912, "field_disc_factorization": [[2, 6], [3, 2], [10399, 1], [39839, 1], [2481073599095717, 1]], "field_poly": [2393792, 65648, -544784, -12252, 20076, 210, -250, -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, [2393792, -65648, -544784, 12252, 20076, -210, -250, 1, 1]], [3, [30844800, -117258192, -17730612, 6632208, 259264, -29036, -1045, 28, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014398610145917, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": "637.6.a.e", "level": 637, "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": [7, 13], "level_radical": 91, "minimal_twist": "91.6.a.c", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(-4+\\beta _{1}+\\beta _{4})q^{3}+(31+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "637.6.a", "trace_display": [-1, -28, 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