# Stored data for newform 700.2.p.e, downloaded from the LMFDB on 25 September 2025.
{"Nk2": 2800, "analytic_conductor": 5.589528141489627, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 28, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 6, "char_parity": 1, "char_values": [700, 6, [351, 477, 101], [3, 6, 1]], "cm_discs": [], "conrey_index": 451, "dim": 32, "has_non_self_twist": 1, "hecke_cutters": [[3, [784, 0, 2156, 0, 4445, 0, 3353, 0, 1780, 0, 535, 0, 116, 0, 13, 0, 1]], [17, [243859456, 0, -174212096, 0, 95473040, 0, -18050816, 0, 2480860, 0, -135448, 0, 5369, 0, -85, 0, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18015429335188156, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 20, 4, -1, 2, 0], [1, 1, 28, 6, 1, 6, 0], [1, 1, 35, 9, -1, 6, 0], [1, 1, 140, 19, 1, 6, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "700.2.p.e", "level": 700, "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": "140.2.s.b", "prim_orbit_index": 6, "related_objects": [], "relative_dim": 16, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "700.2.p", "trace_display": [0, 0, 0, 0], "traces": [32, 0, 0, -6, 0, 0, 0, 0, -4, 0, 0, 0, 0, -22, 0, 18, 0, 0, 0, 0, -52, 0, 0, 48, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 26, 0, -22, 0, 0, 0, 0, 0, 0, 0, -48, 0, -16, 0, 0, 0, 0, 36, 0, 0, -36, 0, -24, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 72, 0, 0, -56, 0, 8, 0, 0, 108, 0, 0, 0, 0, -30, 0, 60, 0, 0, 0, 0, -36, 0, 0, 0, 0, 60, 0, 0, -44, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 64, 0, 0, 132, 0, -30, 0, 0, 0, 0, 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432, 0, 0, 156, 0, 0, 0, 0, 232, 0, 0, 0, 0, 52, 0, -8, 0, 0, 0, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}