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{'Nk2': 27720, 'analytic_conductor': 55.33632860074731, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [7, -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': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[13, [4, 1]], [17, [2, 1]], [19, [6, 1]], [23, [6, 1]], [29, [-2, 1]], [31, [0, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991528722, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6930.2.a.bj', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'minimal_twist': '6930.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/6930/bj'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6930.2.a', 'trace_display': [1, 0, 1, 1], 'trace_hash': 1651191844160510536, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.156', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, 'traces': [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, -4, 1, 0, 1, -2, 0, -6, 1, 0, 1, -6, 0, 1, -4, 0, 1, 2, 0, 0, 1, 0, -2, 1, 0, -10, -6, 0, 1, -6, 0, -2, 1, 0, -6, -2, 0, 1, 1, 0, -4, -6, 0, 1, 1, 0, 2, 0, 0, -4, 0, 0, 1, -4, 0, -8, -2, 0, 1, 6, 0, 6, -10, 0, -6, 1, 0, 4, 1, 0, -6, -12, 0, -2, -2, 0, 1, 4, 0, -4, -6, 0, -2, -6, 0, -2, 1, 0, 1, -10, 0, -8, -4, 0, -6, 4, 0, 16, 1, 0, 1, 12, 0, -6, 2, 0, 0, -2, 0, 1, -4, 0, 0, 1, 0, 20, 1, 0, -4, -12, 0, -6, -8, 0, -2, -8, 0, 18, 1, 0, 6, -4, 0, 2, 6, 0, -10, -10, 0, -12, -6, 0, 1, 0, 0, -10, 4, 0, 1, -6, 0, 0, -6, 0, -12, 0, 0, 3, -2, 0, -2, -6, 0, 1, 1, 0, 4, 4, 0, 14, -4, 0, -6, -10, 0, -2, -2, 0, -6, 10, 0, 14, -2, 0, 1, 14, 0, 16, 1, 0, -10, 2, 0, -6, -8, 0, -4, -6, 0, -14, -6, 0, 4, -2, 0, 0, 16, 0, 1, 8, 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mf_hecke_cc • Show schema
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36, 'hecke_orbit_code': 157625986991528722, 'label': '6930.2.a.bj.1.1', 'level': 6930, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [5, 1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, -1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, 1]], 5, 2], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 2], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, -1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, -1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, 1]], 3, 1], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [7, 1], [11, -1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 1]], 'ALdims': [3, 3, 1, 3, 1, 3, 3, 3, 5, 2, 3, 5, 4, 4, 4, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 5, 4, 3, 5, 2, 2, 6], 'Nk2': 27720, 'analytic_conductor': 55.33632860074731, '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': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 100, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561362, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '6930.2.a', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'mf_dim': 1760, 'mf_new_dim': 100, 'num_forms': 65, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 3456, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -16, 0, -16, 0, 0, -4, -24, 0, 100, -8, 0, 0, -16, 0, -8, 0, 0, 0, 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-168, 512, 0, 32, 0, 0, 336, -32, 0, 0, -192, 0, -144, -160, 0, -192, 0, 0, -64, -72, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48853248
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991528722, 'source_is_minimal': True, 'source_label': '6930.2.a.bj.1.1', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991528722, 'target_is_minimal': True, 'target_label': '6930.2.a.bj.1.1', 'target_level': 6930, 'twist_class_label': '6930.2.a.c.1.1', 'twist_class_level': 6930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48853249
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 157625986991528722, 'source_is_minimal': True, 'source_label': '6930.2.a.bj.1.1', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288302354, 'target_is_minimal': True, 'target_label': '6930.2.a.c.1.1', 'target_level': 6930, 'twist_class_label': '6930.2.a.c.1.1', 'twist_class_level': 6930, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4328575
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 2}
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id: 4328576
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 3}
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id: 4328577
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 5}
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id: 4328578
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 7}
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id: 4328579
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 11}
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id: 4328580
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 13}
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id: 4328581
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 17}
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id: 4328582
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 19}
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id: 4328583
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 23}
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id: 4328584
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 29}
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id: 4328585
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 31}
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id: 4328586
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 37}
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id: 4328587
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 41}
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id: 4328588
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 43}
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id: 4328589
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 47}
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id: 4328590
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 53}
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id: 4328591
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 59}
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id: 4328592
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 61}
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id: 4328593
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 67}
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id: 4328594
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 71}
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id: 4328595
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 73}
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id: 4328596
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 79}
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id: 4328597
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 83}
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id: 4328598
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 89}
-
id: 4328599
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 157625986991528722, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '6930.2.a.bj', 'level': 6930, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 270463000
{'hecke_orbit_code': 157625986991528722, 'n': 1, 'trace_an': 1}
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id: 270463001
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id: 270463999
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