# Stored data for newform 614.2.c.a, downloaded from the LMFDB on 25 August 2026.
{"Nk2": 2456, "analytic_conductor": 4.902814684106615, "analytic_rank": 1, "analytic_rank_proved": true, "char_conductor": 307, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 3, "char_orbit_label": "c", "char_order": 3, "char_parity": 1, "char_values": [614, 3, [5], [2]], "cm_discs": [], "conrey_index": 17, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[3, [3, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 137472508518, "hecke_ring_generator_nbound": 11, "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, 307, 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": true, "label": "614.2.c.a", "level": 614, "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": true, "level_primes": [2, 307], "level_radical": 614, "minimal_twist": "614.2.c.a", "nf_label": "2.0.3.1", "prim_orbit_index": 3, "qexp_display": "q+q^{2}-3q^{3}+q^{4}+(-4+4\\zeta_{6})q^{5}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "614.2.c", "trace_display": [2, -6, -4, 0], "trace_hash": 1454658459753923052, "trace_moments": [0, {"__RealLiteral__": 0, "data": "1.974", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "11.680", "prec": 17}, {"__RealLiteral__": 0, "data": "1.673", "prec": 14}, {"__RealLiteral__": 0, "data": "106.260", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.014", "prec": 7}, "traces": 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