# Stored data for newform 7.18.a.b, downloaded from the LMFDB on 01 May 2026.
{"Nk2": 2268, "analytic_conductor": 12.825546114119177, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[7, -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": [7, 1, [3], [1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 17301941410029461614468529505, "field_disc_factorization": [[3, 2], [5, 1], [89, 1], [1090049954269, 1], [3963199327729, 1]], "field_poly": [584478460232, 30882981215, 70948970, -559376, -2, 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, [-1167515043840, -8750693376, 253624680, -416814, -597, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599929360391, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 42336, "hecke_ring_index_factorization": [[2, 5], [3, 3], [7, 2]], "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": "7.18.a.b", "level": 7, "level_is_powerful": false, "level_is_prime": true, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [7], "level_radical": 7, "minimal_twist": "7.18.a.b", "prim_orbit_index": 1, "qexp_display": "q+(119+\\beta _{1})q^{2}+(-349-13\\beta _{1}-\\beta _{3}+\\cdots)q^{3}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "17.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7.18.a", "trace_display": [597, -1770, 1612824, 28824005], "trace_hash": 968986844060745810, "trace_moments": [{"__RealLiteral__": 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