# Stored data for newform 7.10.c.a, downloaded from the LMFDB on 15 April 2026.
{"Nk2": 700, "analytic_conductor": 3.605250853147112, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "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": [7, 3, [3], [1]], "cm_discs": [], "conrey_index": 2, "dim": 10, "field_disc": -2099632307093479986065419519152, "field_disc_factorization": [[-1, 1], [2, 4], [3, 5], [23238521587427, 2]], "field_poly": [761760000, 1034227200, 1399072384, 30575648, 16136944, 23608, 146753, 61, 430, -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": [], "hecke_orbit": 1, "hecke_orbit_code": 137606725639, "hecke_ring_generator_nbound": 4, "hecke_ring_index": 265531392, "hecke_ring_index_factorization": [[2, 12], [3, 3], [7, 4]], "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": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "7.10.c.a", "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": "7.10.c.a", "prim_orbit_index": 3, "qexp_display": "q+(-\\beta _{1}+\\beta _{2}-4\\beta _{3})q^{2}+(33-\\beta _{1}+\\cdots)q^{3}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "9.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7.10.c", "trace_display": [-18, 161, 1533, -1036], "trace_hash": 1403596799573294825, "trace_moments": [{"__RealLiteral__": 0, "data": "0.054", "prec": 17}, {"__RealLiteral__": 0, "data": "9.319", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", 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