# Stored data for newform 315.10.a.p, downloaded from the LMFDB on 27 December 2024.
{"Nk2": 31500, "analytic_conductor": 162.23628839162004, "analytic_rank": 1, "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": 10, "field_disc": 1908579738106216317655314146080259899061825870433313771715892800, "field_disc_factorization": [[2, 6], [5, 2], [2161, 1], [3037, 1], [181756841667008514383771117394211547769342564490491269, 1]], "field_poly": [-2925217654100, -984581099130, 273645512708, 3604897833, -1903644413, -6510663, 4338847, 7323, -3667, -3, 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, [-3634454155264, -434096456192, 273038366848, -3987958688, -1871115576, 19470724, 4287390, -22001, -3649, 7, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994578329915, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 680244480000, "hecke_ring_index_factorization": [[2, 11], [3, 12], [5, 4]], "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": "315.10.a.p", "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": "315.10.a.p", "prim_orbit_index": 1, "qexp_display": "q+(-1+\\beta _{1})q^{2}+(223-\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "related_objects": [], "relative_dim": 10, "rm_discs": [], 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