Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 18, 'char_parity': 1, 'char_values': [74, 18, [39], [13]], 'cm_discs': [], 'conrey_index': 3, 'dim': 12, 'field_disc': 1586874322944, 'field_disc_factorization': [[2, 12], [3, 18]], 'field_poly': [1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 36, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 481069891658, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 13737, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 8, 1, 18, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '74.2.h.a', 'level': 74, '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': True, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.h.a', 'nf_label': '12.0.1586874322944.1', 'prim_orbit_index': 8, 'qexp_display': 'q+\\zeta_{36}q^{2}+(1-\\zeta_{36}^{4}-\\zeta_{36}^{6})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '74.2.h', 'trace_display': [0, 6, 0, -12], 'trace_hash': 68777849448230782, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 7}, {'__RealLiteral__': 0, 'data': '11.516', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '425.649', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '26135.046', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.082', 'prec': 7}, 'traces': [12, 0, 6, 0, 0, 0, -12, 0, -6, 6, -6, -6, 6, -18, 0, 0, 0, 0, -18, 0, -6, 0, 0, 0, -18, 12, -6, -6, 18, 24, 0, 0, -6, 12, 18, 12, 30, -24, 30, 12, 24, 0, 0, 6, -18, 30, 6, 0, 12, -36, 0, -12, -12, 0, -18, 0, -36, 6, 0, 0, -36, 0, -6, 6, 36, 0, -30, 0, -18, -12, 12, 0, 0, -48, -36, -18, 12, -6, 6, 0, 24, 0, -48, 12, 18, -36, 36, -36, -18, 6, -6, 18, -12, 0, 0, 0, 36, 36, 30, -6, -24, -24, 36, 6, 0, 36, 90, 18, 6, 72, 6, 0, 0, 12, -18, 18, 0, 48, 36, 12, -24, -12, 24, -6, 36, 18, 30, 0, -6, 0, 0, 6, 18, -36, -54, -12, -18, -24, -48, -18, -30, 0, -36, -6, -54, -36, 12, -18, -24, -72, -6, -12, -18, 0, -90, 0, -30, 12, -12, -12, -18, 0, 0, 12, 54, 36, -54, 18, -24, -18, 0, 6, 24, 6, 54, 12, -36, 36, 0, 18, -84, -24, 36, -12, 54, 72, 90, -42, 24, 18, 0, 12, -72, 60, 0, -12, 66, -36, 54, 36, -24, -18, -54, 18, 36, 24, 36, -18, 90, -48, 18, -24, 84, -72, 54, 0, -30, 0, 48, -18, -108, 6, 36, 0, 6, -24, -54, 0, -6, 36, -24, -6, 54, -42, 54, 18, -6, 12, -90, -18, 156, 0, -6, 0, 0, 0, 0, 18, 42, 6, 54, 0, 0, 72, -54, 0, -18, -72, -30, 36, 18, -36, -6, 0, 0, 48, -18, 30, -18, -12, 6, 0, -36, 36, -48, 0, 18, 0, 12, -24, -108, -18, 30, -12, 0, -18, -84, 0, -72, 0, -24, -6, -90, 0, -36, 12, -24, -54, -54, 6, -24, 0, -96, 18, 36, -24, -36, -12, 54, -36, -72, -12, 6, 18, -18, -12, 36, 36, 36, 0, 72, -24, 90, -42, -36, -24, 0, 36, 42, 18, -78, 12, -6, 24, -36, 12, 30, 36, 0, 36, 90, 12, -6, 0, 36, 36, 54, 0, -36, 108, 96, 0, 54, 12, 0, 18, 18, 12, -12, -6, 54, 18, -30, 0, -72, -12, 102, 18, -48, 24, 132, -12, 78, -36, 54, 0, 18, 18, -72, -18, 30, -54, 0, 0, 36, 24, 6, 24, 54, 72, -18, 0, 0, -90, 0, -12, -54, -6, -18, 18, 0, 36, 102, -48, 18, -48, -96, -48, -30, -72, 0, -18, 0, -6, 90, -6, 24, -36, 12, -54, 54, 0, 6, 0, -126, 36, 0, 54, 18, 0, -72, -18, -6, -36, -36, 18, -36, 0, -78, 0, -42, 72, 84, -6, -180, -54, -42, -6, -18, 0, -72, -54, -48, 12, 72, -12, -36, -54, 0, 36, -72, 0, -42, -18, -90, 0, -36, -6, 48, 0, 6, 60, -18, 30, 0, 0, -48, 24, -18, -12, 42, -48, 54, 18, -72, 0, 0, 12, -108, -54, -36, 12, 0, 36, 72, 12, -24, -36, 108, -54, -108, -12, 18, -18, 126, -54, -24, 0, 114, 54, -42, 0, 54, 0, 72, -6, 108, -12, 60, 0, -6, 24, -24, 0, 204, -108, 126, -6, -12, 72, 18, 72, 108, 72, 54, -36, 18, 0, 144, 0, -54, 36, -6, 12, 36, -24, -54, 54, 0, 0, -54, -30, -6, 144, 18, 0, 90, 72, 60, -18, 0, 72, 36, -6, 18, 0, -42, 0, -18, 0, 24, 54, -36, -72, -162, 6, 90, 72, -66, 54, 42, -12, -162, -36, 18, 0, 72, 6, -126, -72, 120, 18, -132, 108, 18, -12, -6, 0, -78, 36, 60, 36, -78, 6, -162, -36, -108, -24, -72, -108, -90, 18, -126, 0, 36, 36, -96, 24, -90, -36, -54, 36, 0, 6, 18, -12, -36, 36, 90, 24, 6, 6, -30, 0, 0, -78, -54, -54, 12, -6, 42, -72, -108, -54, 108, -72, 0, 0, 90, -48, -60, -18, 54, -54, 0, -12, 36, 0, 132, 0, 96, 24, -18, 36, -144, 24, 108, -54, 24, 24, 144, 0, 0, -36, 18, 12, 6, 12, -24, -54, -72, -18, 90, 0, -108, -54, -12, 6, 0, 36, 42, 30, -42, 48, 144, -6, 0, -162, 54, 96, 90, -60, -72, -12, -54, 24, 12, -18, 0, -108, -36, -36, 108, 12, -54, 72, -180, -36, -60, -18, -72, 0, 114, -24, -54, 72, -222, 24, -60, 78, 18, 72, 66, 0, -72, 30, 66, 36, 24, -90, -36, 72, 132, 18, 0, 0, 6, 54, -72, -48, 0, 42, 180, 0, 0, -6, -42, 108, 18, -18, 66, 18, -54, -54, 0, -12, 54, 6, 162, -72, 0, -78, 6, 36, 204, -24, 30, 0, -108, 18, 180, -36, 0, -6, 162, 36, 36, -30, -78, 0, 72, 36, -108, 72, 72, 6, -36, -6, -18, 36, 36, 108, 66, 30, 90, 36, -90, 0, 108, 6, 162, -54, 60, 0, 180, 18, 18, -12, -84, 0, 60, 36, -6, 48, -48, -42, 54, -18, 66, -90, 18, -6, -72, -72, 72, 0, 0, 0, -144, -24, -102, 42, 72, -84, 0, 0, -138, -30, 24, 24, -90, 96, 18, 60, -18, 0, 0, -108, -216, 18, 24, 96, -72, 0, -270, -108, -24, -30, -54, 72, -42, -18, 60, -126, -234, -48, -18, 36, -126, -18, 18, 0, 18, -18, -90, 72, -48, 66, -132, 18, -114, 6, 0, 0, -54, -18, 0, -12, -36, -6, -126, 144, 42, -12, -36, -18, 60, -18, -24, -72, 36, 36, -198, 36, -108, -30, -108, -60, 0, -36, 60, -6, -252, -12, 126, -204, -18, 6, -18, -72, 0, -36, 72, 60, -126, 24, -60, 126, 108, -18, 144, -126, 72, 18, 126, 72, -198, -18, 168, 132, 36, 6, -6, -90, 144, 0, 18, -12, 144, -18, -48, 12, -108, 156, 0, 84, 132, 0, 198, 144, 36, -42, 24, 150, -114, -36, 90, -132, 252, 72, 66, -72, -120, 36, 234, 36, 42, -54, -54, -54, 0, -36, 0, -36, 72, 48, 54, 0, 48, -60], 'weight': 2, 'weight_parity': 1}