# Stored data for newform 7650.2.a.bd, downloaded from the LMFDB on 11 December 2025.
{"Nk2": 30600, "analytic_conductor": 61.085557546279496, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [17, 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": [7650, 1, [5951, 6427, 5851], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [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": [[7, [-3, 1]], [11, [-3, 1]], [13, [-4, 1]], [19, [5, 1]], [23, [4, 1]], [29, [0, 1]]], "hecke_orbit": 30, "hecke_orbit_code": 130604389227306466, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "7650.2.a.bd", "level": 7650, "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, 17], "level_radical": 510, "minimal_twist": "2550.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}+3q^{7}-q^{8}+3q^{11}+4q^{13}+\\cdots", "related_objects": ["EllipticCurve/Q/7650/bd"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7650.2.a", "trace_display": [-1, 0, 0, 3], "trace_hash": 1598501402239587448, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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