# Stored data for newform 6300.2.ch.e, downloaded from the LMFDB on 29 September 2025.
{"Nk2": 25200, "analytic_conductor": 50.305753273406644, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 21, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 60, "char_orbit_label": "ch", "char_order": 6, "char_parity": 1, "char_values": [6300, 6, [3151, 2801, 3277, 3601], [6, 3, 6, 5]], "cm_discs": [], "conrey_index": 1601, "dim": 20, "field_disc": 483548432633677979956091739677273358336, "field_disc_factorization": [[2, 38], [3, 10], [41, 4], [10133, 4]], "field_poly": [15876, 0, -23778, 0, 1736173, 0, 466066, 0, 420152, 0, 245850, 0, 61094, 0, 5094, 0, -124, 0, -32, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[11, [5184, 0, -45216, 0, 298768, 0, -757952, 0, 1428832, 0, -645992, 0, 219724, 0, -20576, 0, 1408, 0, -44, 0, 1]], [37, [21025, 25955, 66551, -59422, 46117, -14307, 3781, -418, 59, -1, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18018452992170140, "hecke_ring_generator_nbound": 31, "hecke_ring_index": 36, "hecke_ring_index_factorization": [[2, 2], [3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 21, 7, 1, 6, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "6300.2.ch.e", "level": 6300, "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, 3, 5, 7], "level_radical": 210, "minimal_twist": "6300.2.ch.d", "prim_orbit_index": 7, "qexp_display": "q+(\\beta _{3}+\\beta _{5})q^{7}+(-\\beta _{10}+\\beta _{12})q^{11}+\\cdots", "related_objects": [], "relative_dim": 10, "rm_discs": [], "sato_tate_group": "1.2.3.c6", 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