Formats: - HTML - YAML - JSON - 2026-09-06T00:21:01.133074
  • mf_newformsShow schema
    {'Nk2': 4356, 'analytic_conductor': 8.695708780117434, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [11, -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': [1089, 1, [848, 244], [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': [[2, [1, 1]], [5, [-4, 1]], [7, [-2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915667009, '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': '1089.2.a.d', 'level': 1089, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '99.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{4}+4q^{5}+2q^{7}+3q^{8}-4q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/1089/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1089.2.a', 'trace_display': [-1, 0, 4, 2], 'trace_hash': 709705717655840813, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.045', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.994', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.070', 'prec': 7}, {'__RealLiteral__': 0, 'data': '4.964', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.022', 'prec': 7}, 'traces': [1, -1, 0, -1, 4, 0, 2, 3, 0, -4, 0, 0, 2, -2, 0, -1, 2, 0, 6, -4, 0, 0, -4, 0, 11, -2, 0, -2, -6, 0, 4, -5, 0, -2, 8, 0, -6, -6, 0, 12, -10, 0, -6, 0, 0, 4, 8, 0, -3, -11, 0, -2, 0, 0, 0, 6, 0, 6, -4, 0, 6, -4, 0, 7, 8, 0, 8, -2, 0, -8, 0, 0, 2, 6, 0, -6, 0, 0, 10, -4, 0, 10, 12, 0, 8, 6, 0, 0, 0, 0, 4, 4, 0, -8, 24, 0, 2, 3, 0, -11, -14, 0, 8, 6, 0, 0, 12, 0, 2, 0, 0, -2, -12, 0, -16, 6, 0, 4, 4, 0, 0, -6, 0, -4, 24, 0, 10, 3, 0, -8, -12, 0, 12, -8, 0, 6, -4, 0, -10, -8, 0, 0, 0, 0, -24, -2, 0, 6, -2, 0, -14, 18, 0, 0, 16, 0, -10, -10, 0, -20, -8, 0, -20, 10, 0, -12, 0, 0, -9, -8, 0, 6, -6, 0, 22, 0, 0, 0, 24, 0, 10, -4, 0, -12, -24, 0, 0, -8, 0, -24, -16, 0, 14, -2, 0, 3, 2, 0, 12, 33, 0, 14, -12, 0, -40, -8, 0, -2, 0, 0, 6, 0, 0, -12, -24, 0, 8, -2, 0, 0, 4, 0, -8, 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  • mf_hecke_nfShow schema
    {'an': [[1], [-1], [0], [-1], [4], [0], [2], [3], [0], [-4], [0], [0], [2], [-2], [0], [-1], [2], [0], [6], [-4], [0], [0], [-4], [0], [11], [-2], [0], [-2], [-6], [0], [4], [-5], [0], [-2], [8], [0], [-6], [-6], [0], [12], [-10], [0], [-6], [0], [0], [4], [8], [0], [-3], [-11], [0], [-2], [0], [0], [0], [6], [0], [6], [-4], [0], [6], [-4], [0], [7], [8], [0], [8], [-2], [0], [-8], [0], [0], [2], [6], [0], [-6], [0], [0], [10], [-4], [0], [10], [12], [0], [8], [6], [0], [0], [0], [0], [4], [4], [0], [-8], [24], [0], [2], [3], [0], [-11]], 'ap': [[-1], [0], [4], [2], [0], [2], [2], [6], [-4], [-6], [4], [-6], [-10], [-6], [8], [0], [-4], [6], [8], [0], [2], [10], [12], [0], [2], [-14], [8], [12], [2], [-12], [10], [-12], [-4], [-10], [-2], [-14], [-10], [-20], [0], [-6], [24], [10], [-16], [14], [2], [12], [6], [-8], [-12], [6], [6], [0], [26], [-8], [-8], [-32], [16], [-2], [2], [6], [2], [-18], [22], [-12], [-34], [4], [4], [-14], [20], [-18], [-24], [8], [16], [-34], [4], [20], [-36], [-14], [-28], [-6], [32], [34], [24], [-2], [-10], [4], [32], [18], [6], [16], [-36], [-32], [-4], [-28], [-16], [-40], [24], [12], [-38], [-22], [-38], [38], [-28], [18], [34], [18], [4], [-26], [28], [22], [10], [46], [12], [44], [4], [24], [-4], [-28], [16], [44], [-50], [-26], [-6], [32], [20], [22], [-10], [-24], [12], [-6], [34], [-16], [-20], [2], [42], [-2], [24], [-22], [-28], [-30], [-34], [-22], [-48], [28], [-2], [-20], [-50], [-14], [-36], [-36], [-42], [20], [-32], [16], [-12], [-48], [14], [12], [-2], [-30], [48], [26], [50], [-4], [36], [36], [-44], [-50], [-14], [-48], [4], [34], [-8], [-14], [56], [44], [10], [32], [34], [-34], [44], [4], [-30], [-30], [-24], [24], [-6], [36], [10], [40], [-34], [-4], [-48], [36], [12], [-48], [46], [-14], [-6], [16], [-42], [42], [42], [2], [-40], [-20], [0], [-12], [66], [-8], [6], [0], [36], [28], [0], [-34], [-2], [-66], [72], [-24], [50], [42], [-12], [-40], [36], [-26], [-36], [12], [62], [-4], [46], [14], [-22], [-62], [-56], [8], [-66], [30], [16], [-68], [52], [58], [12], [54], [14], [48], [-28], [-40], [-6], [-64], [50], [22], [24], [2], [30], [-4], [22], [-18], [-12], [-58], [-10], [-60], [34], [-42], [0], [-32], [24], [36], [-26], [18], [50], [-36], [70], [-2], [-38], [20], [-48], [62], [-10], [36], [56], [68], [-32], [22], [-70], [60], [66], [-54], [28], [14], [-52], [-28], [78], [-12], [54], [-2], [-20], [-8], [-60], [-26], [-18], [-18], [74], [52], [32], [-38], [-72], [-54], [-12], [-90], [-24], [-44], [-66], [-16], [48], [10], [44], [56], [-2], [82], [38], [-38], [-2], [-52], [-34], [-34], [-24], [32], [24], [-70], [50], [36], [10], [20], [-54], [-60], [34], [-10], [70], [58], [-22], [72], [-42], [32], [56], [44], [-38], [-28], [96], [24], [22], [6], [48], [90], [-34], [18], [-24], [52], [-38], [32], [46], [30], [-36], [44], [0], [-86], [78], [-38], [6], [-84], [36], [-16], [-70], [14], [10], [8], [16], [22], [42], [66], [76], [-96], [-86], [82], [-22], [0], [-12], [86], [-62], [32], [50], [64], [56], [-80], [-36], [26], [-38], [24], [28], [-14], [-50], [28], [18], [72], [62], [90], [-18], [-34], [80], [-88], [102], [-34], [88], [10], [58], [-36], [40], [48], [-40], [48], [8], [-58], [96], [-76], [10], [24], [-24], [14], [76], [-40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915667009, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1089.2.a.d', 'level': 1089, 'maxp': 2999, 'weight': 2}
  • mf_newspacesShow schema
    {'ALdims': [6, 12, 13, 10], 'ALdims_eis_new': [0, 0, 4, 5], 'ALdims_eis_old': [11, 12, 8, 7], 'ALdims_old': [19, 18, 17, 14], 'Nk2': 4356, 'analytic_conductor': 8.695708780117434, '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': [1089, 1, [848, 244], [1, 1]], 'conrey_index': 1, 'cusp_dim': 109, 'dim': 41, 'eis_dim': 47, 'eis_new_dim': 9, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33555521, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], 'label': '1089.2.a', 'level': 1089, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'mf_dim': 156, 'mf_new_dim': 50, 'num_forms': 23, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 41, 'sturm_bound': 264, 'trace_bound': 7, 'trace_display': [-1, 0, -2, 2], 'traces': [41, -1, 0, 41, -2, 0, 2, -3, 0, -4, 0, 0, 2, 12, 0, 41, -4, 0, 12, 4, 0, 0, 18, 0, 11, 16, 0, 4, -6, 0, -2, 13, 0, -8, -10, 0, 2, -8, 0, 18, -10, 0, -6, 0, 0, -2, 16, 0, 13, 7, 0, -14, -8, 0, 0, 0, 0, -20, 10, 0, -6, -22, 0, -7, 8, 0, -18, -2, 0, -16, 2, 0, 14, 0, 0, -12, 0, 0, 34, 56, 0, -36, 6, 0, 14, 20, 0, 0, 22, 0, 44, 12, 0, -8, 0, 0, 42, 15, 0, 29, 4, 0, 44, 48, 0, -18, 6, 0, -4, 0, 0, -8, 6, 0, 62, 6, 0, 22, 0, 0, 0, -66, 0, 12, -60, 0, 16, -3, 0, -50, -30, 0, -8, 10, 0, -28, -60, 0, -22, 4, 0, -6, 0, 0, -60, -86, 0, -56, -32, 0, -50, 84, 0, 0, 42, 0, -52, 28, 0, -38, 34, 0, 84, -14, 0, -12, -12, 0, 9, -54, 0, 24, -12, 0, 40, 0, 0, 36, -14, 0, -26, 8, 0, 0, -76, 0, 0, 0, 0, -28, 18, 0, 38, 16, 0, -31, -16, 0, -12, 3, 0, -118, 60, 0, -76, 40, 0, 10, 0, 0, 0, -148, 0, -52, -6, 0, 62, -144, 0, 0, -46, 0, 42, -108, 0, 48, 30, 0, -22, -14, 0, -156, 54, 0, -64, 64, 0, 8, -6, 0, 50, 0, 0, -30, 30, 0, -4, 24, 0, -78, 114, 0, 0, -144, 0, -7, -28, 0, -42, 4, 0, -80, -2, 0, -58, 0, 0, -136, 16, 0, 4, 10, 0, -8, 0, 0, 32, 88, 0, -220, -36, 0, -16, -108, 0, 0, 16, 0, -15, -26, 0, -26, 18, 0, 26, -18, 0, 0, -20, 0, 60, -116, 0, -12, 0, 0, 4, 0, 0, -34, -12, 0, 90, 28, 0, -4, -36, 0, 0, 100, 0, -140, 136, 0, 58, -4, 0, -20, 16, 0, 6, -24, 0, 0, 138, 0, 16, -15, 0, -8, 0, 0, -68, -104, 0, -86, 32, 0, -72, 128, 0, 0, 126, 0, -26, 56, 0, -90, -28, 0, -43, 8, 0, 188, 32, 0, 166, -80, 0, 66, 36, 0, -40, 0, 0, 72, -50, 0, 126, 0, 0, 58, -18, 0, 0, 128, 0, 152, 86, 0, -2, -27, 0, -96, -2, 0, 88, 0, 0, -83, 16, 0, -28, 2, 0, 48, 0, 0, 0, 10, 0, 240, -26, 0, 126, 116, 0, 0, 32, 0, -48, -128, 0, 18, 10, 0, 96, 48, 0, -212, -42, 0, 2, 64, 0, -26, 0, 0, -40, 0, 0, -28, 130, 0, -60, -22, 0, -16, 14, 0, 0, -72, 0, 256, 160, 0, 30, -24, 0, 212, -18, 0, 126, 6, 0, 236, 78, 0, 34, -32, 0, -36, 0, 0, 132, 216, 0, -88, 28, 0, -24, -30, 0, 0, -188, 0, -18, -150, 0, 36, -4, 0, -166, 0, 0, 276, 6, 0, 24, -170, 0, -34, -58, 0, -110, 0, 0, -40, -112, 0, 40, -43, 0, 26, 108, 0, 0, -92, 0, -282, -96, 0, -44, -24, 0, 240, 2, 0, -109, 0, 0, 184, -218, 0, 54, 12, 0, -10, 0, 0, -82, 80, 0, 228, 14, 0, -92, -214, 0, 0, 12, 0, -44, -108, 0, -8, -16, 0, 200, 16, 0, -34, -40, 0, -92, 132, 0, 0, -42, 0, 112, 0, 0, 80, -60, 0, -182, 13, 0, 60, -72, 0, 0, -118, 0, 236, -56, 0, 48, -2, 0, -176, 82, 0, -160, 2, 0, -204, 24, 0, 16, -24, 0, 44, 0, 0, 46, 156, 0, 336, 16, 0, 94, 244, 0, 0, -108, 0, 78, 268, 0, 72, -54, 0, -163, -20, 0, -194, -18, 0, -158, -88, 0, -4, 16, 0, 18, 0, 0, 18, 242, 0, 14, -28, 0, -24, -94, 0, 0, 86, 0, 136, -224, 0, -102, 34, 0, -168, 14, 0, 66, -34, 0, 176, -64, 0, 96, -24, 0, -86, 0, 0, -20, -96, 0, -147, -24, 0, -14, -130, 0, 0, 116, 0, -126, 228, 0, -12, -36, 0, 6, -6, 0, 316, 26, 0, -34, 340, 0, -64, 52, 0, -72, 0, 0, -12, -128, 0, -156, 6, 0, -18, 50, 0, 0, 356, 0, -124, 38, 0, -32, 19, 0, 176, 6, 0, 186, 24, 0, 240, -132, 0, -6, 2, 0, 8, 0, 0, 10, -106, 0, 172, 44, 0, -50, 14, 0, 0, 176, 0, 322, 336, 0, 12, -38, 0, -60, 38, 0, -28, 18, 0, 144, -32, 0, -26, 28, 0, -26, 0, 0, -50, -178, 0, 160, -6, 0, 60, 200, 0, 0, 260, 0, -287, -174, 0, -4, 10, 0, 280, -42, 0, -16, 2, 0, 248, -16, 0, 64, -37, 0, 34, 0, 0, -2, 336, 0, -186, 54, 0, 26, 60, 0, 0, -148, 0, -32, 240, 0, 100, 8, 0, -82, -24, 0, 180, -32, 0, -114, 256, 0, 74, -12, 0, 12, 0, 0, -20, 42, 0, -103, -70, 0, -36, -160, 0, 0, -228, 0, -238, -198, 0, -80, 72, 0, -488, -2, 0, -2, -12, 0, -76, -168, 0, -54, 56, 0, -20, 0, 0, 52, -228, 0, 184, 66, 0, -78, 256, 0, 0, -110, 0, -144, -70, 0, -58, -14, 0, -112, -18, 0, 96, 0, 0, 114, -120, 0, 4, 48, 0, 0, 0, 0, -90, -24, 0, -48, 24, 0, -64, -188, 0, 0, -72, 0, 288, -172, 0, 38, 48, 0, 372, -12, 0, -38, 38, 0, -316, 204, 0, -36, 18, 0, 30, 0, 0, -38, -420, 0, -404, -12, 0, 88, -260, 0, 0, -258, 0, -160, -344, 0, 0, 56, 0, 6, -84, 0, -368, 22, 0, -69, 186, 0, -26, 32, 0, 128, 0, 0, -26, 94, 0, -100, -62, 0, 42, 354, 0, 0, -232, 0, 168, 190, 0, -10, 12, 0, -20, 6, 0, -132, 16, 0, -372, -120, 0, -152, -44, 0, 180], 'weight': 2, 'weight_parity': 1}
  • mf_twists_nfShow schema
    • id: 643156
      {'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '99.2.a.a', 'target_level': 99, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
    • id: 643157
      {'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '99.2.a.c', 'target_level': 99, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
    • id: 643158
      {'conductor': 99, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '891.2.e.c', 'target_level': 891, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '99.h', 'twisting_char_orbit': 8, 'weight': 2}
    • id: 643159
      {'conductor': 99, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '891.2.e.j', 'target_level': 891, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '99.g', 'twisting_char_orbit': 7, 'weight': 2}
    • id: 643160
      {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1089.2.a.d', 'target_level': 1089, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
    • id: 643161
      {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1089.2.a.h', 'target_level': 1089, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
    • id: 643162
      {'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1584.2.a.b', 'target_level': 1584, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 2}
    • id: 643163
      {'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1584.2.a.r', 'target_level': 1584, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
    • id: 643164
      {'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2475.2.a.c', 'target_level': 2475, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
    • id: 643165
      {'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2475.2.a.j', 'target_level': 2475, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 2}
    • id: 643166
      {'conductor': 165, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2475.2.c.b', 'target_level': 2475, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '165.l', 'twisting_char_orbit': 12, 'weight': 2}
    • id: 643167
      {'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2475.2.c.g', 'target_level': 2475, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
    • id: 643168
      {'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4851.2.a.g', 'target_level': 4851, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '231.h', 'twisting_char_orbit': 8, 'weight': 2}
    • id: 643169
      {'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4851.2.a.o', 'target_level': 4851, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
    • id: 643170
      {'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '6336.2.a.b', 'target_level': 6336, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
    • id: 643171
      {'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6336.2.a.f', 'target_level': 6336, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 2}
    • id: 643172
      {'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '6336.2.a.cl', 'target_level': 6336, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '264.m', 'twisting_char_orbit': 13, 'weight': 2}
    • id: 643173
      {'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1089.2.a.d', 'source_level': 1089, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 65, 'target_is_minimal': False, 'target_label': '6336.2.a.cm', 'target_level': 6336, 'twist_class_label': '99.2.a.a', 'twist_class_level': 99, 'twisting_char_label': '264.p', 'twisting_char_orbit': 16, 'weight': 2}
  • mf_hecke_charpolysShow schema
    • id: 1672275
      {'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 2}
    • id: 1672276
      {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 3}
    • id: 1672277
      {'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 5}
    • id: 1672278
      {'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 7}
    • id: 1672279
      {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 11}
    • id: 1672280
      {'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 13}
    • id: 1672281
      {'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 17}
    • id: 1672282
      {'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 19}
    • id: 1672283
      {'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 23}
    • id: 1672284
      {'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 29}
    • id: 1672285
      {'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 31}
    • id: 1672286
      {'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 37}
    • id: 1672287
      {'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 41}
    • id: 1672288
      {'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 43}
    • id: 1672289
      {'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 47}
    • id: 1672290
      {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 53}
    • id: 1672291
      {'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 59}
    • id: 1672292
      {'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 61}
    • id: 1672293
      {'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 67}
    • id: 1672294
      {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 71}
    • id: 1672295
      {'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 73}
    • id: 1672296
      {'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 79}
    • id: 1672297
      {'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 83}
    • id: 1672298
      {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 89}
    • id: 1672299
      {'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915667009, 'p': 97}
  • mf_newform_portraitsShow schema
    {'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '1089.2.a.d', 'level': 1089, 'portrait': 'data:image/png;base64,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', 'weight': 2}
  • mf_hecke_tracesShow schema
    Showing the first 100 of 258 matching records in this table.
    • id: 32612209
      {'hecke_orbit_code': 13510798915667009, 'n': 1, 'trace_an': 1}
    • id: 32612210
      {'hecke_orbit_code': 13510798915667009, 'n': 2, 'trace_an': -1}
    • id: 32612211
      {'hecke_orbit_code': 13510798915667009, 'n': 3, 'trace_an': 0}
    • id: 32612212
      {'hecke_orbit_code': 13510798915667009, 'n': 4, 'trace_an': -1}
    • id: 32612213
      {'hecke_orbit_code': 13510798915667009, 'n': 5, 'trace_an': 4}
    • id: 32612214
      {'hecke_orbit_code': 13510798915667009, 'n': 6, 'trace_an': 0}
    • id: 32612215
      {'hecke_orbit_code': 13510798915667009, 'n': 7, 'trace_an': 2}
    • id: 32612216
      {'hecke_orbit_code': 13510798915667009, 'n': 8, 'trace_an': 3}
    • id: 32612217
      {'hecke_orbit_code': 13510798915667009, 'n': 9, 'trace_an': 0}
    • id: 32612218
      {'hecke_orbit_code': 13510798915667009, 'n': 10, 'trace_an': -4}
    • id: 32612219
      {'hecke_orbit_code': 13510798915667009, 'n': 11, 'trace_an': 0}
    • id: 32612220
      {'hecke_orbit_code': 13510798915667009, 'n': 12, 'trace_an': 0}
    • id: 32612221
      {'hecke_orbit_code': 13510798915667009, 'n': 13, 'trace_an': 2}
    • id: 32612222
      {'hecke_orbit_code': 13510798915667009, 'n': 14, 'trace_an': -2}
    • id: 32612223
      {'hecke_orbit_code': 13510798915667009, 'n': 15, 'trace_an': 0}
    • id: 32612224
      {'hecke_orbit_code': 13510798915667009, 'n': 16, 'trace_an': -1}
    • id: 32612225
      {'hecke_orbit_code': 13510798915667009, 'n': 17, 'trace_an': 2}
    • id: 32612226
      {'hecke_orbit_code': 13510798915667009, 'n': 18, 'trace_an': 0}
    • id: 32612227
      {'hecke_orbit_code': 13510798915667009, 'n': 19, 'trace_an': 6}
    • id: 32612228
      {'hecke_orbit_code': 13510798915667009, 'n': 20, 'trace_an': -4}
    • id: 32612229
      {'hecke_orbit_code': 13510798915667009, 'n': 21, 'trace_an': 0}
    • id: 32612230
      {'hecke_orbit_code': 13510798915667009, 'n': 22, 'trace_an': 0}
    • id: 32612231
      {'hecke_orbit_code': 13510798915667009, 'n': 23, 'trace_an': -4}
    • id: 32612232
      {'hecke_orbit_code': 13510798915667009, 'n': 24, 'trace_an': 0}
    • id: 32612233
      {'hecke_orbit_code': 13510798915667009, 'n': 25, 'trace_an': 11}
    • id: 32612234
      {'hecke_orbit_code': 13510798915667009, 'n': 26, 'trace_an': -2}
    • id: 32612235
      {'hecke_orbit_code': 13510798915667009, 'n': 27, 'trace_an': 0}
    • id: 32612236
      {'hecke_orbit_code': 13510798915667009, 'n': 28, 'trace_an': -2}
    • id: 32612237
      {'hecke_orbit_code': 13510798915667009, 'n': 29, 'trace_an': -6}
    • id: 32612238
      {'hecke_orbit_code': 13510798915667009, 'n': 30, 'trace_an': 0}
    • id: 32612239
      {'hecke_orbit_code': 13510798915667009, 'n': 31, 'trace_an': 4}
    • id: 32612240
      {'hecke_orbit_code': 13510798915667009, 'n': 32, 'trace_an': -5}
    • id: 32612241
      {'hecke_orbit_code': 13510798915667009, 'n': 33, 'trace_an': 0}
    • id: 32612242
      {'hecke_orbit_code': 13510798915667009, 'n': 34, 'trace_an': -2}
    • id: 32612243
      {'hecke_orbit_code': 13510798915667009, 'n': 35, 'trace_an': 8}
    • id: 32612244
      {'hecke_orbit_code': 13510798915667009, 'n': 36, 'trace_an': 0}
    • id: 32612245
      {'hecke_orbit_code': 13510798915667009, 'n': 37, 'trace_an': -6}
    • id: 32612246
      {'hecke_orbit_code': 13510798915667009, 'n': 38, 'trace_an': -6}
    • id: 32612247
      {'hecke_orbit_code': 13510798915667009, 'n': 39, 'trace_an': 0}
    • id: 32612248
      {'hecke_orbit_code': 13510798915667009, 'n': 40, 'trace_an': 12}
    • id: 32612249
      {'hecke_orbit_code': 13510798915667009, 'n': 41, 'trace_an': -10}
    • id: 32612250
      {'hecke_orbit_code': 13510798915667009, 'n': 42, 'trace_an': 0}
    • id: 32612251
      {'hecke_orbit_code': 13510798915667009, 'n': 43, 'trace_an': -6}
    • id: 32612252
      {'hecke_orbit_code': 13510798915667009, 'n': 44, 'trace_an': 0}
    • id: 32612253
      {'hecke_orbit_code': 13510798915667009, 'n': 45, 'trace_an': 0}
    • id: 32612254
      {'hecke_orbit_code': 13510798915667009, 'n': 46, 'trace_an': 4}
    • id: 32612255
      {'hecke_orbit_code': 13510798915667009, 'n': 47, 'trace_an': 8}
    • id: 32612256
      {'hecke_orbit_code': 13510798915667009, 'n': 48, 'trace_an': 0}
    • id: 32612257
      {'hecke_orbit_code': 13510798915667009, 'n': 49, 'trace_an': -3}
    • id: 32612258
      {'hecke_orbit_code': 13510798915667009, 'n': 50, 'trace_an': -11}
    • id: 32612259
      {'hecke_orbit_code': 13510798915667009, 'n': 51, 'trace_an': 0}
    • id: 32612260
      {'hecke_orbit_code': 13510798915667009, 'n': 52, 'trace_an': -2}
    • id: 32612261
      {'hecke_orbit_code': 13510798915667009, 'n': 53, 'trace_an': 0}
    • id: 32612262
      {'hecke_orbit_code': 13510798915667009, 'n': 54, 'trace_an': 0}
    • id: 32612263
      {'hecke_orbit_code': 13510798915667009, 'n': 55, 'trace_an': 0}
    • id: 32612264
      {'hecke_orbit_code': 13510798915667009, 'n': 56, 'trace_an': 6}
    • id: 32612265
      {'hecke_orbit_code': 13510798915667009, 'n': 57, 'trace_an': 0}
    • id: 32612266
      {'hecke_orbit_code': 13510798915667009, 'n': 58, 'trace_an': 6}
    • id: 32612267
      {'hecke_orbit_code': 13510798915667009, 'n': 59, 'trace_an': -4}
    • id: 32612268
      {'hecke_orbit_code': 13510798915667009, 'n': 60, 'trace_an': 0}
    • id: 32612269
      {'hecke_orbit_code': 13510798915667009, 'n': 61, 'trace_an': 6}
    • id: 32612270
      {'hecke_orbit_code': 13510798915667009, 'n': 62, 'trace_an': -4}
    • id: 32612271
      {'hecke_orbit_code': 13510798915667009, 'n': 63, 'trace_an': 0}
    • id: 32612272
      {'hecke_orbit_code': 13510798915667009, 'n': 64, 'trace_an': 7}
    • id: 32612273
      {'hecke_orbit_code': 13510798915667009, 'n': 65, 'trace_an': 8}
    • id: 32612274
      {'hecke_orbit_code': 13510798915667009, 'n': 66, 'trace_an': 0}
    • id: 32612275
      {'hecke_orbit_code': 13510798915667009, 'n': 67, 'trace_an': 8}
    • id: 32612276
      {'hecke_orbit_code': 13510798915667009, 'n': 68, 'trace_an': -2}
    • id: 32612277
      {'hecke_orbit_code': 13510798915667009, 'n': 69, 'trace_an': 0}
    • id: 32612278
      {'hecke_orbit_code': 13510798915667009, 'n': 70, 'trace_an': -8}
    • id: 32612279
      {'hecke_orbit_code': 13510798915667009, 'n': 71, 'trace_an': 0}
    • id: 32612280
      {'hecke_orbit_code': 13510798915667009, 'n': 72, 'trace_an': 0}
    • id: 32612281
      {'hecke_orbit_code': 13510798915667009, 'n': 73, 'trace_an': 2}
    • id: 32612282
      {'hecke_orbit_code': 13510798915667009, 'n': 74, 'trace_an': 6}
    • id: 32612283
      {'hecke_orbit_code': 13510798915667009, 'n': 75, 'trace_an': 0}
    • id: 32612284
      {'hecke_orbit_code': 13510798915667009, 'n': 76, 'trace_an': -6}
    • id: 32612285
      {'hecke_orbit_code': 13510798915667009, 'n': 77, 'trace_an': 0}
    • id: 32612286
      {'hecke_orbit_code': 13510798915667009, 'n': 78, 'trace_an': 0}
    • id: 32612287
      {'hecke_orbit_code': 13510798915667009, 'n': 79, 'trace_an': 10}
    • id: 32612288
      {'hecke_orbit_code': 13510798915667009, 'n': 80, 'trace_an': -4}
    • id: 32612289
      {'hecke_orbit_code': 13510798915667009, 'n': 81, 'trace_an': 0}
    • id: 32612290
      {'hecke_orbit_code': 13510798915667009, 'n': 82, 'trace_an': 10}
    • id: 32612291
      {'hecke_orbit_code': 13510798915667009, 'n': 83, 'trace_an': 12}
    • id: 32612292
      {'hecke_orbit_code': 13510798915667009, 'n': 84, 'trace_an': 0}
    • id: 32612293
      {'hecke_orbit_code': 13510798915667009, 'n': 85, 'trace_an': 8}
    • id: 32612294
      {'hecke_orbit_code': 13510798915667009, 'n': 86, 'trace_an': 6}
    • id: 32612295
      {'hecke_orbit_code': 13510798915667009, 'n': 87, 'trace_an': 0}
    • id: 32612296
      {'hecke_orbit_code': 13510798915667009, 'n': 88, 'trace_an': 0}
    • id: 32612297
      {'hecke_orbit_code': 13510798915667009, 'n': 89, 'trace_an': 0}
    • id: 32612298
      {'hecke_orbit_code': 13510798915667009, 'n': 90, 'trace_an': 0}
    • id: 32612299
      {'hecke_orbit_code': 13510798915667009, 'n': 91, 'trace_an': 4}
    • id: 32612300
      {'hecke_orbit_code': 13510798915667009, 'n': 92, 'trace_an': 4}
    • id: 32612301
      {'hecke_orbit_code': 13510798915667009, 'n': 93, 'trace_an': 0}
    • id: 32612302
      {'hecke_orbit_code': 13510798915667009, 'n': 94, 'trace_an': -8}
    • id: 32612303
      {'hecke_orbit_code': 13510798915667009, 'n': 95, 'trace_an': 24}
    • id: 32612304
      {'hecke_orbit_code': 13510798915667009, 'n': 96, 'trace_an': 0}
    • id: 32612305
      {'hecke_orbit_code': 13510798915667009, 'n': 97, 'trace_an': 2}
    • id: 32612306
      {'hecke_orbit_code': 13510798915667009, 'n': 98, 'trace_an': 3}
    • id: 32612307
      {'hecke_orbit_code': 13510798915667009, 'n': 99, 'trace_an': 0}
    • id: 32612308
      {'hecke_orbit_code': 13510798915667009, 'n': 100, 'trace_an': -11}