-
mf_newforms • Show schema
{'Nk2': 7436, 'analytic_conductor': 14.844189735756023, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, 1], [13, -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': [1859, 1, [508, 1354], [1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 21, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-448, -224, 15568, -30512, -48608, 130810, 55275, -212824, -29118, 179407, 7129, -88400, -510, 26832, -99, -5075, 20, 582, -1, -37, 0, 1]], [7, [-2981888, -35553280, -126300160, -64669696, 361342464, 384480768, -226843968, -290903456, 66488000, 96183712, -11281124, -17460834, 1215357, 1893974, -85240, -125749, 3763, 4999, -94, -109, 1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225219, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1859.2.a.s', 'level': 1859, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [11, 13], 'level_radical': 143, 'minimal_twist': '1859.2.a.s', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 21, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1859.2.a', 'trace_display': [0, 6, -7, -1], 'traces': [21, 0, 6, 32, -7, 19, -1, 3, 33, 18, -21, 23, 0, 20, -16, 50, 16, -3, 11, -24, 5, 0, -9, 54, 36, 0, 0, 11, 28, 21, -15, 61, -6, 6, -3, 45, 12, 1, 0, 55, 4, -34, 17, -32, -9, -11, -36, 24, 72, 9, 2, 0, 19, -1, 7, 44, 4, 33, -54, -64, 98, -29, 81, 63, 0, -19, -25, 4, 89, -65, -37, -55, -8, -11, 24, -13, 1, 0, 24, -26, 81, 26, 34, 103, 11, -30, 32, -3, -6, 47, 0, -80, -41, 40, 20, 98, 0, 5, -33, 84, 59, 56, 39, 0, -29, 124, -15, 18, 18, -18, 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mf_hecke_cc • Show schema
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81064793326225219, 'label': '1859.2.a.s.1.20', 'level': 1859, 'weight': 2} -
mf_newspaces • Show schema
{'AL_dims': [[[[11, -1], [13, -1]], 25, 4], [[[11, -1], [13, 1]], 40, 6], [[[11, 1], [13, -1]], 37, 4], [[[11, 1], [13, 1]], 26, 6]], 'Nk2': 7436, 'analytic_conductor': 14.844189735756023, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1859, 1, [508, 1354], [1, 1]], 'conrey_indexes': [1], 'cusp_dim': 169, 'dim': 128, 'eis_dim': 27, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556291, 'hecke_orbit_dims': [1, 1, 2, 2, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 9, 9, 21, 21], 'label': '1859.2.a', 'level': 1859, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [11, 13], 'level_radical': 143, 'mf_dim': 196, 'mf_new_dim': 128, 'num_forms': 20, 'plus_dim': 51, 'prim_orbit_index': 1, 'relative_dim': 128, 'sturm_bound': 364, 'trace_bound': 6, 'trace_display': [-1, -1, -1, -6], 'traces': 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mf_twists_cc • Show schema
-
id: 48172540
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 21, 'source_embedding_index': 20, 'source_hecke_orbit_code': 81064793326225219, 'source_is_minimal': True, 'source_label': '1859.2.a.s.1.20', 'source_level': 1859, 'target_conrey_index': 1, 'target_dim': 21, 'target_embedding_index': 20, 'target_hecke_orbit_code': 81064793326225219, 'target_is_minimal': True, 'target_label': '1859.2.a.s.1.20', 'target_level': 1859, 'twist_class_label': '1859.2.a.s.1.20', 'twist_class_level': 1859, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 48172541
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 21, 'source_embedding_index': 20, 'source_hecke_orbit_code': 81064793326225219, 'source_is_minimal': True, 'source_label': '1859.2.a.s.1.20', 'source_level': 1859, 'target_conrey_index': 1, 'target_dim': 21, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953595715, 'target_is_minimal': True, 'target_label': '1859.2.a.t.1.2', 'target_level': 1859, 'twist_class_label': '1859.2.a.s.1.20', 'twist_class_level': 1859, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
-
id: 48172540
- hecke_orbit_code 81064793326225219 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1859.2.a.s', 'level': 1859, 'portrait': 'data:image/png;base64,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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 243775000
{'hecke_orbit_code': 81064793326225219, 'n': 1, 'trace_an': 21} -
id: 243775001
{'hecke_orbit_code': 81064793326225219, 'n': 2, 'trace_an': 0} -
id: 243775002
{'hecke_orbit_code': 81064793326225219, 'n': 3, 'trace_an': 6} -
id: 243775003
{'hecke_orbit_code': 81064793326225219, 'n': 4, 'trace_an': 32} -
id: 243775004
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-
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Embedded newform data - 1859.2.a.s.1.20