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': 6, 'char_orbit_label': 'f', 'char_order': 9, 'char_parity': 1, 'char_values': [74, 9, [39], [8]], 'cm_discs': [], 'conrey_index': 7, 'dim': 12, 'field_disc': 12929666408933481, 'field_disc_factorization': [[3, 18], [53, 2], [109, 2]], 'field_poly': [15625, 0, -15000, 0, 6600, 0, -1687, 0, 264, 0, -24, 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': [[3, [4096, -3072, 1536, -512, 384, 504, -151, -126, 24, 8, 6, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258308682, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 13736, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 6, 1, 9, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '74.2.f.b', '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.f.b', 'prim_orbit_index': 6, 'qexp_display': 'q+(\\beta _{4}-\\beta _{7})q^{2}+(-1+\\beta _{1}-\\beta _{8})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '74.2.f', 'trace_display': [0, -3, -6, 6], 'trace_hash': 934234719306220093, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '11.666', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '384.351', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '19575.099', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 4}, 'traces': [12, 0, -3, 0, -6, 0, 6, -6, -3, 0, 3, -3, -6, 3, 6, 0, -3, 6, -3, -6, -33, -3, -21, -3, -6, 0, 3, -3, 6, 6, 42, 0, 57, -3, -9, 24, -3, 42, -24, 12, -21, -33, 36, -3, -6, 3, 9, 0, -12, 12, 0, 3, -6, -27, 0, -3, -36, -3, -6, 3, -18, -33, 36, -6, 3, 3, -27, 6, -12, 0, -18, 6, 54, 3, -6, -3, 51, -33, -12, 0, -36, -18, -6, -6, 3, 0, 39, 3, -15, -15, -51, -6, 45, -12, -15, 6, -42, 51, -33, 18, -24, 21, -12, 3, 114, -6, 87, -27, 27, -6, -30, -6, -42, 45, -27, -3, 114, -6, 51, -3, 9, 24, -60, 39, 6, 75, -9, 0, 9, -6, 60, -33, -15, -9, -24, -3, -33, -27, 42, 3, -72, 0, -60, -3, 3, -9, -102, -12, -18, 6, -33, -3, -45, -48, -27, -27, -18, -21, 30, 12, -57, 6, 6, -12, -21, 3, 63, -24, 84, 3, -12, 9, -3, 0, -6, 6, 6, -15, 24, -15, -18, 21, 108, 42, -18, 108, -51, 42, 51, -15, -36, 6, -30, 0, 24, -15, 0, 66, -27, -6, 84, -30, 39, -51, 15, -27, 27, 0, 3, -12, 45, -18, -6, -15, -27, -6, -81, -27, -6, 0, 54, 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39, -21, 45, -39, 12, 42, -18, 51, -6, -75, 15, -81, -21, -6, -66, 30, -42, 12, 3, -27, 12, -132, 30, 27, -21, -90, -6, 99, 42, 171, -21, -69, -21, -60, 45, 54, -27, -150, -18, -36, -75, 33, -6, 30, -69, -144, -84, -69, 51, 54, 36, -72, -57, -72, 24, -75, 51, 147, 12, 141, -24, 60, 9, 162, 129, -264, -6, 135, 54, 150, 48, 69, 30, 27, 3, -15, 39, 21, -45, -36, 12, -45, -18, 81, 102, 66, 57, -30, 60, 225, -3, -27, -15, 27, 18, -120, 18, 90, -30, -3, -90, 99, -48, 135, -114, 102, 9, 18, 21, 30, 81, 42, -30, -162, -18, 81, -15, -144, 111, 60, 120, 36, -3, -123, 45, -111, 3, -12, 66, -39, -27, -24, -126, 126, 15, -42, 57, 30, -15, -102, 51, -153, 30, 63, -12, -135, 3, -84, -9, -93, -33, -12, 15, -96, 6, -24, -66, -81, 18, 69, -81, 60, -21, 84, 39, 21, -54, 18, 0, -264, 57, -138, 27, -102, 36, -6, -84, -93, 42, 27, 12, 90, 21, -30, -69, 6, 0, 117, -72, -42, -39, 21, -63, 60, 63, 45, -15, 72, -27, 36, 105, 12, -18, -96, 9, 66, -48, 3, 6, 0, 3, -48, 33, 30, 63, 156, -27, -72, 12, 210, 15, 129, -6, -129, -63, 78, 3, -198, -72, 51, -18, 84, -39, -117, -9, 27, -57, -57, -18, 21, 15, 48, -69, 96, 42, -3, 9, -48, -24, 168, -6, -3, -57, 36, 57, -102, 36, -33, 12, -120, -18, 45, 6, 93, 33, -69, -6, -198, -36, -75, 18, 30, -84, 21, 21, -45, 9, -75, 0, 87, 30, 147, 3, -105, -9, 84, 39, 300, -66, 51, -18, -15, 78, 21, -21, -15, -21, 123, 42, -84, 63, 48, -75, -180, 33, -135, -24, -12, -3, -105, -27, 84, -15, -24, -3, -57, -6, -138, -42, 51, 21, 45, 84, -147, -66, 252, 21, -78, 75, 36, -39, -36, 24, 12, -9, 177, 21, 63, -33, 27, 18, -66, 9, 15, 6, 54, 18, 201, 78, 105, -9, 126, -6, 144, 48, 0, 69, 183, 39, -216, 9, 66, -51, -87, 99, 144, 66, 60, 135, 84, -12, -66, 0, -39, -9, 33, -24, 123, 3, 33, 186, -72, -42, -21, -105, -12, -57, 90, -81, -48, 12, 6, -123, -48, 3, -72, -24, -69, -72, -216, -72, -30, -57, 18, -141, -72, -18, -90, -66, -186, -27, 3, -75, -84, -9, 15, 39, -30, 0, -93, -54, 3, -6, -72, 39, 9, 3, -156, 222, -57, 45, 0, 57, -276, -21, 174, -30, -27, 15, -150, 126, -87, 3, -60, 24, -66, -24, -30, -84, -177, 84, 12, 36, 114, -9, 69, 54, 39, -36, 9, -39, -108, -15, 48, 42, -42, -18, -90, 24, 60, -84, 39, 54, 153, -12, 0, -81, -102, -21, -108, 90, 51, -57, -39, -105, -144, -21, 105, 87, -6, 3, -57, 84, -75, -24, -147, -15, 138, 51, 105, -39, 108, -6, 192, 36, -198, -3, 414, 90, 318, 42, 81, -135, 105, -18, 51, 27, -66, 39, 138, -87, 210, 24, 69, 75, -126, 81, -99, -9, 24, -24, 0, -9, -141, 24, -42, 3, 6, -6, 114, 30, -18, 12, -3, -30, 93, -12], 'weight': 2, 'weight_parity': 1}