# Stored data for newform 252.4.e.a, downloaded from the LMFDB on 19 April 2024.
{"label": "252.4.e.a", "space_label": "252.4.e", "level": 252, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 274945016060, "dim": 36, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 12, "char_orbit_label": "e", "char_is_real": true, "Nk2": 4032, "analytic_conductor": 14.868481321446636, "level_radical": 42, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [252, 2, [127, 29, 73], [1, 1, 2]], "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [71], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 36, "sato_tate_group": "3.2.3.c2", "trace_display": [0, 0, 0, 0], "traces": [36, 0, 0, -24, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 444, 0, 0, -900, 0, 0, -84, 0, 0, 0, 0, 0, -432, 0, 0, -264, 0, 0, 1416, 0, 0, 0, 0, 0, 180, 0, 0, -1764, 0, 0, 2736, 0, 0, 0, 0, 0, 636, 0, 0, -3960, 0, 0, 1392, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, -2520, 0, 0, 0, 0, 0, 1032, 0, 0, -3144, 0, 0, 2748, 0, 0, 0, 0, 0, 5496, 0, 0, 0, 0, 0, -1272, 0, 0, 0, 0, 0, -3444, 0, 0, -5424, 0, 0, 2016, 0, 0, 0, 0, 0, 10872, 0, 0, 8100, 0, 0, 4296, 0, 0, 0, 0, 0, 7584, 0, 0, -1008, 0, 0, -960, 0, 0, 0, 0, 0, -18804, 0, 0, 4200, 0, 0, -5712, 0, 0, 0, 0, 0, -420, 0, 0, -16968, 0, 0, -576, 0, 0, 0, 0, 0, 5616, 0, 0, 6828, 0, 0, -10560, 0, 0, 0, 0, 0, -8136, 0, 0, 29760, 0, 0, 2820, 0, 0, 0, 0, 0, -6768, 0, 0, -1368, 0, 0, 1176, 0, 0, 0, 0, 0, 7872, 0, 0, -9912, 0, 0, 5928, 0, 0, 0, 0, 0, -10884, 0, 0, -336, 0, 0, -36456, 0, 0, 0, 0, 0, -15636, 0, 0, 33792, 0, 0, 41220, 0, 0, 0, 0, 0, -6048, 0, 0, 22560, 0, 0, -30216, 0, 0, 0, 0, 0, -29568, 0, 0, 9168, 0, 0, -14076, 0, 0, 0, 0, 0, -4752, 0, 0, -29880, 0, 0, 21456, 0, 0, 0, 0, 0, -18612, 0, 0, 34752, 0, 0, 0, 0, 0, 0, 0, 0, 50712, 0, 0, -37812, 0, 0, 12120, 0, 0, 0, 0, 0, 49812, 0, 0, 3360, 0, 0, 744, 0, 0, 0, 0, 0, -2160, 0, 0, -4632, 0, 0, 4128, 0, 0, 0, 0, 0, -21084, 0, 0, 50976, 0, 0, -89064, 0, 0, 0, 0, 0, -26088, 0, 0, 13632, 0, 0, -63408, 0, 0, 0, 0, 0, 24816, 0, 0, -45336, 0, 0, 69204, 0, 0, 0, 0, 0, -324, 0, 0, -54900, 0, 0, 35784, 0, 0, 0, 0, 0, 112560, 0, 0, 9720, 0, 0, 36264, 0, 0, 0, 0, 0, -14604, 0, 0, -15120, 0, 0, -20088, 0, 0, 0, 0, 0, -63372, 0, 0, 10056, 0, 0, 119964, 0, 0, 0, 0, 0, -36204, 0, 0, 2688, 0, 0, -86520, 0, 0, 0, 0, 0, -24240, 0, 0, -63456, 0, 0, -1212, 0, 0, 0, 0, 0, 28800, 0, 0, 16632, 0, 0, 92400, 0, 0, 0, 0, 0, -81840, 0, 0, -95640, 0, 0, 22260, 0, 0, 0, 0, 0, 97992, 0, 0, 29664, 0, 0, 101352, 0, 0, 0, 0, 0, 71604, 0, 0, 8736, 0, 0, -9336, 0, 0, 0, 0, 0, -76692, 0, 0, 76512, 0, 0, 27048, 0, 0, 0, 0, 0, -12936, 0, 0, -109416, 0, 0, -143688, 0, 0, 0, 0, 0, 12936, 0, 0, -60696, 0, 0, -91248, 0, 0, 0, 0, 0, 15240, 0, 0, -99072, 0, 0, 54480, 0, 0, 0, 0, 0, -134124, 0, 0, 62100, 0, 0, 33768, 0, 0, 0, 0, 0, 282264, 0, 0, -18432, 0, 0, 44808, 0, 0, 0, 0, 0, 231804, 0, 0, 0, 0, 0, -119040, 0, 0, 0, 0, 0, -164604, 0, 0, -78120, 0, 0, 97980, 0, 0, 0, 0, 0, -21000, 0, 0, 62376, 0, 0, -219528, 0, 0, 0, 0, 0, -135360, 0, 0, 129600, 0, 0, -154848, 0, 0, 0, 0, 0, 99336, 0, 0, 92280, 0, 0, 137040, 0, 0, 0, 0, 0, -103296, 0, 0, 7416, 0, 0, 91476, 0, 0, 0, 0, 0, 141384, 0, 0, 176076, 0, 0, 39240, 0, 0, 0, 0, 0, 60252, 0, 0, 0, 0, 0, -114072, 0, 0, 0, 0, 0, -250704, 0, 0, -191808, 0, 0, 231600, 0, 0, 0, 0, 0, -69048, 0, 0, -53064, 0, 0, -343008, 0, 0, 0, 0, 0, -214080, 0, 0, -101640, 0, 0, -14088, 0, 0, 0, 0, 0, 88704, 0, 0, 317832, 0, 0, 219888, 0, 0, 0, 0, 0, -255684, 0, 0, 26136, 0, 0, 121212, 0, 0, 0, 0, 0, 290736, 0, 0, 22512, 0, 0, 137544, 0, 0, 0, 0, 0, 172596, 0, 0, -42000, 0, 0, -12192, 0, 0, 0, 0, 0, -321840, 0, 0, -60000, 0, 0, 169020, 0, 0, 0, 0, 0, -85260, 0, 0, 115272, 0, 0, -449256, 0, 0, 0, 0, 0, -135000, 0, 0, 217584, 0, 0, -254064, 0, 0, 0, 0, 0, 59568, 0, 0, -222360, 0, 0, 175824, 0, 0, 0, 0, 0, -89100, 0, 0, 347184, 0, 0, 22932, 0, 0, 0, 0, 0, 523296, 0, 0, -4704, 0, 0, 111024, 0, 0, 0, 0, 0, 291468, 0, 0, 9744, 0, 0, -37680, 0, 0, 0, 0, 0, -151104, 0, 0, 251328, 0, 0, 204384, 0, 0, 0, 0, 0, -122136, 0, 0, 118656, 0, 0, -491856, 0, 0, 0, 0, 0, -148104, 0, 0, -168660, 0, 0, -167760, 0, 0, 0, 0, 0, 61248, 0, 0, -107784, 0, 0, 116412, 0, 0, 0, 0, 0, -286236, 0, 0, -459672, 0, 0, 79800, 0, 0, 0, 0, 0, 513360, 0, 0, -148296, 0, 0, 6216, 0, 0, 0, 0, 0, 141660, 0, 0, -22176, 0, 0, -138576, 0, 0, 0, 0, 0, -219492, 0, 0, -93192, 0, 0, 83268, 0, 0, 0, 0, 0, -148176, 0, 0, 244128, 0, 0, -244752, 0, 0, 0, 0, 0, -100416, 0, 0, -80088, 0, 0, -185028, 0, 0, 0, 0, 0, 162696, 0, 0, -38472, 0, 0, 512016, 0, 0, 0, 0, 0, -450960, 0, 0, 229632, 0, 0, 163464, 0, 0, 0, 0, 0, 504408, 0, 0, 81756, 0, 0, 283368, 0, 0, 0, 0, 0, 11376, 0, 0, 149184, 0, 0, -212784, 0, 0, 0, 0, 0, 31284, 0, 0, 96888, 0, 0, 381072, 0, 0, 0, 0, 0, -133476, 0, 0, -476568, 0, 0, -476688], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], "char_orbit_index": 5, "prim_orbit_index": 2, "minimal_twist": "252.4.e.a", "char_is_minimal": true, "conrey_index": 71, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}