Formats: - HTML - YAML - JSON - 2026-01-19T09:21:36.592613
Query: /api/mf_newforms/?_offset=0
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'cm_discs': [], 'conrey_index': 49, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, -4, 6, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505248928368542, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 136719, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 12, 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': False, 'label': '1950.2.y.b', 'level': 1950, '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, 13], 'level_radical': 390, 'minimal_twist': '78.2.i.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 12, 'qexp_display': 'q+(-1+\\zeta_{12}^{2})q^{2}+\\zeta_{12}q^{3}-\\zeta_{12}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.y', 'trace_display': [-2, 0, 0, -2], 'trace_hash': 770167644236746496, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.861', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.135', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.722', 'prec': 20}, {'__RealLiteral__': 0, 'data': '9.448', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1136.864', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.183', 'prec': 17}, 'traces': [4, -2, 0, -2, 0, 0, -2, 4, 2, 0, -6, 0, -10, 4, 0, -2, -6, -4, -6, 0, 0, 6, 18, 0, 0, 14, 0, -2, -2, 0, 0, -2, -6, 0, 0, 2, 14, 0, 0, 0, 36, -6, 30, 0, 0, -18, 12, 0, 6, 0, 16, -4, 0, 0, 0, -2, 12, -2, 0, 0, 8, -12, 2, 4, 0, 12, -2, 6, 2, 0, 6, 2, -32, 14, 0, 6, 0, 0, 24, 0, -2, -36, -20, 6, 0, 0, 12, -6, 12, 0, -4, 0, -4, -6, 0, 0, 12, 6, 0, 0, -10, -8, 0, -10, 0, 12, 18, 0, 0, 0, 12, 4, 30, -6, 0, 4, 4, 0, 30, 0, 2, -16, 2, 12, 0, 2, 48, -2, -4, 0, 40, -6, 24, -2, 0, -6, 10, -4, 8, 0, 18, 0, 6, -4, 0, 16, 12, -28, -18, 0, 0, -6, -6, 12, 0, 0, 0, -12, -6, 0, 0, -2, 20, 0, 0, 10, -12, 0, -2, 0, -6, -30, -36, 0, 0, 6, -32, -12, -6, 0, -56, -10, 0, 18, 0, -4, -36, -6, -6, 0, 0, 0, 20, -24, 0, -12, 8, 6, 18, 0, 42, -10, 28, -8, 0, 6, 0, 14, -24, 0, -12, -12, -12, -18, 0, 0, 0, 12, -6, 0, 24, 0, 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