# Stored data for newform 280.10.a.b, downloaded from the LMFDB on 17 June 2026.
{"Nk2": 28000, "analytic_conductor": 144.21003412588448, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -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": [280, 1, [71, 141, 57, 241], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 7433819893563534104370795840, "field_disc_factorization": [[2, 6], [3, 1], [5, 1], [23, 1], [241, 1], [65327, 1], [21384702290512739, 1]], "field_poly": [62307905700, -21289610540, 1028441937, -918604, -72814, 0, 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": [[3, [561668029200, 49830144408, 981970281, -3104100, -69874, 84, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599795142936, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 2457600, "hecke_ring_index_factorization": [[2, 15], [3, 1], [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": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "280.10.a.b", "level": 280, "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": [2, 5, 7], "level_radical": 70, "minimal_twist": "280.10.a.b", "prim_orbit_index": 1, "qexp_display": "q+(-14-\\beta _{1})q^{3}+5^{4}q^{5}-7^{4}q^{7}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "280.10.a", "trace_display": [0, -84, 3750, -14406], "trace_hash": 312595041506765389, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.599", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "90.185", "prec": 20}, {"__RealLiteral__": 0, "data": "10.647", "prec": 20}, {"__RealLiteral__": 0, "data": "2282.596", "prec": 27}], "trace_zratio": 0, "traces": [0, 6, 0, -84, 0, 3750, 0, -14406, 0, 28706, 0, -7236, 0, -128320, 0, -52500, 0, 7824, 0, 1086424, 0, 201684, 0, -433840, 0, 2343750, 0, -5581908, 0, -5035320, 0, 8009528, 0, -3142492, 0, -9003750, 0, -3174020, 0, -4430652, 0, -43110164, 0, 17127272, 0, 17941250, 0, 15939092, 0, 34588806, 0, 144588972, 0, -199005812, 0, -4522500, 0, -301546336, 0, -17573560, 0, -45679132, 0, -68923106, 0, -80200000, 0, 368557032, 0, 11072112, 0, -117886480, 0, -497207908, 0, -32812500, 0, 17373636, 0, 366960940, 0, 471697478, 0, -114133272, 0, 4890000, 0, 2020712636, 0, -522324452, 0, 308096320, 0, 428582984, 0, 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