# Stored data for newform 315.10.a.m, downloaded from the LMFDB on 26 December 2024.
{"Nk2": 31500, "analytic_conductor": 162.23628839162004, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -1], [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": [315, 1, [281, 127, 136], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 1399624774843630867930941087625, "field_disc_factorization": [[5, 3], [165779, 1], [324257893, 1], [208296290798083, 1]], "field_poly": [-230581716, 7006450, 1850461, -2896, -2794, -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, [-193212480, -17729920, 1674196, 36064, -2689, -16, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195696218427, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 28800, "hecke_ring_index_factorization": [[2, 7], [3, 2], [5, 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": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "315.10.a.m", "level": 315, "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": [3, 5, 7], "level_radical": 105, "minimal_twist": "105.10.a.g", "prim_orbit_index": 1, "qexp_display": "q+(3-\\beta _{1})q^{2}+(428-2\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "315.10.a", "trace_display": [16, 0, 3750, 14406], "trace_hash": 2162065542188436519, 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