# Stored data for newform 49.10.c.d, downloaded from the LMFDB on 22 June 2025.
{"Nk2": 4900, "analytic_conductor": 25.236755972029783, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 3, "char_orbit_label": "c", "char_order": 3, "char_parity": 1, "char_values": [49, 3, [3], [2]], "cm_discs": [], "conrey_index": 18, "dim": 6, "field_disc": -107150098677075, "field_disc_factorization": [[-1, 1], [3, 3], [5, 2], [398423, 2]], "field_poly": [4064256, -858816, 183492, -3606, 427, -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": [[2, [364046400, 25300080, 2158956, 10314, 1767, 21, 1]], [3, [9144576, 39299904, 169150032, -1085616, 20052, 84, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510936488837169, "hecke_ring_generator_nbound": 9, "hecke_ring_index": 108, "hecke_ring_index_factorization": [[2, 2], [3, 3]], "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": "49.10.c.d", "level": 49, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": true, "level_is_square": true, "level_is_squarefree": false, "level_primes": [7], "level_radical": 7, "minimal_twist": "7.10.a.b", "prim_orbit_index": 3, "qexp_display": "q+(7\\beta _{3}-\\beta _{5})q^{2}+(-28+\\beta _{1}+\\beta _{2}+\\cdots)q^{3}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "9.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "49.10.c", "trace_display": [-21, -84, -1554, 0], "trace_hash": 1118010668877805090, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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