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ec_curvedata • Show schema
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{'Ciso': '1083d', 'Clabel': '1083d2', 'Cnumber': 2, 'abc_quality': 1.0888363088535995, 'absD': 789507, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 798, 'ainvs': [1, 0, 0, -663, 6516], 'analytic_rank': 1, 'bad_primes': [3, 19], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 1083, 'degree': 252, 'elladic_images': ['7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24125409892499004933046920052', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 1, 'isogeny_degrees': [1, 7], 'jinv': [-89289015625, 2187], 'lmfdb_iso': '1083.b', 'lmfdb_label': '1083.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -663, 6516], 'min_quad_twist_disc': 1, 'modell_images': ['7B'], 'modm_images': ['6.2.0.a.1', '7.8.0.a.1', '42.16.0.a.1', '133.48.0.?', '798.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 2, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.10668492870823680095743628546', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 4, 361], [7, 2, 361], [19, 74, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24948573093608336067103537146', 'prec': 107}, 'szpiro_ratio': 4.451392917147779, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, -1, 0, -1, 1, 3, 1, 0, -2, -1, -5, -1, 0, -1, -4, -1, 0, 0], 'aplist': [-1, 1, 0, 1, -2, -5, -4, 0, -4, 8, 3, -3, 12, -1, -6, -4, -10, -13, -11, -6, -11, -1, 0, 6, -2], 'class_deg': 7, 'class_size': 2, 'conductor': 1083, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '1083.b', 'trace_hash': 142329701970852813}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.61723330540753543187422523243', 'prec': 103}, 'conductor': 1083, 'gens': [[15, -9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.10668492870823680095743628546', 'prec': 103}], 'lmfdb_label': '1083.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.6241715382239555507436723705', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9597168743152476084110463211121295556', 'prec': 130}, 'tamagawa_product': 7, 'torsion_generators': [], 'xcoord_integral_points': [3, 12, 15, 75]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [2, 0], '5': [1, 1, 0], '7': [5, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1083.b1'}
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ec_torsion_growth • Show schema
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id: 52959
{'degree': 3, 'field': [-12, -6, -1, 1], 'lmfdb_label': '1083.b1', 'torsion': [2]}
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id: 52960
{'degree': 6, 'field': [12, 6, -5, -3, 4, -3, 1], 'lmfdb_label': '1083.b1', 'torsion': [2, 2]}
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id: 52961
{'degree': 6, 'field': [729, -1107, 246, 160, -55, -1, 1], 'lmfdb_label': '1083.b1', 'torsion': [7]}
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id: 52962
{'degree': 8, 'field': [-135, 108, -72, -73, 40, -7, 7, -4, 1], 'lmfdb_label': '1083.b1', 'torsion': [3]}
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id: 52963
{'degree': 12, 'field': [-1494, 4194, -4677, 1968, -459, 1086, -533, 8, -53, 58, 1, -4, 1], 'lmfdb_label': '1083.b1', 'torsion': [4]}
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id: 52964
{'degree': 18, 'field': [729, 0, 0, 104039, 0, 0, -735605, 0, 0, 581636, 0, 0, -929, 0, 0, -172, 0, 0, 1], 'lmfdb_label': '1083.b1', 'torsion': [14]}
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ec_localdata • Show schema
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id: 15379
{'conductor': 1083, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '1083.b1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 15380
{'conductor': 1083, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1083.b1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1671365
{'adelic_gens': [[785, 14, 784, 15], [1, 14, 0, 1], [3, 122, 784, 533], [533, 14, 539, 99], [257, 14, 238, 759], [1, 0, 14, 1], [8, 5, 91, 57]], 'adelic_image': '798.96.2.?', 'conductor': 1083, 'lmfdb_label': '1083.b1', 'prime': 0}
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id: 5093
{'conductor': 1083, 'elladic_image': '7.8.0.1', 'lmfdb_label': '1083.b1', 'modell_image': '7B', 'prime': 7}
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ec_padic • Show schema
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id: 25107
{'lmfdb_iso': '1083.b', 'p': 7, 'prec': 20, 'unit': 75013122710275234, 'val': 0}
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id: 25105
{'lmfdb_iso': '1083.b', 'p': 11, 'prec': 20, 'unit': 55554409415014497241, 'val': 1}
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id: 25111
{'lmfdb_iso': '1083.b', 'p': 13, 'prec': 20, 'unit': 879578353915165369331, 'val': 1}
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id: 25113
{'lmfdb_iso': '1083.b', 'p': 17, 'prec': 20, 'unit': 112010527381546330920535, 'val': 1}
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id: 25118
{'lmfdb_iso': '1083.b', 'p': 23, 'prec': 20, 'unit': 45731974018311231542650823, 'val': 1}
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id: 25110
{'lmfdb_iso': '1083.b', 'p': 29, 'prec': 20, 'unit': 5310554375963988356132975298, 'val': 1}
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id: 25123
{'lmfdb_iso': '1083.b', 'p': 31, 'prec': 20, 'unit': 16784507558434071145553905529, 'val': 1}
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id: 25106
{'lmfdb_iso': '1083.b', 'p': 37, 'prec': 20, 'unit': 5626726334102829087066091404, 'val': 2}
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id: 25108
{'lmfdb_iso': '1083.b', 'p': 41, 'prec': 20, 'unit': 1029159266283552372425582498828, 'val': 1}
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id: 25109
{'lmfdb_iso': '1083.b', 'p': 43, 'prec': 20, 'unit': 7739862963212282549186343138145, 'val': 1}
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id: 25121
{'lmfdb_iso': '1083.b', 'p': 47, 'prec': 20, 'unit': 21523113998046454986508896587411, 'val': 1}
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id: 25115
{'lmfdb_iso': '1083.b', 'p': 53, 'prec': 20, 'unit': 106601926930607679643115853756618, 'val': 1}
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id: 25116
{'lmfdb_iso': '1083.b', 'p': 59, 'prec': 20, 'unit': 2523889241969207779532350060429694, 'val': 1}
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id: 25122
{'lmfdb_iso': '1083.b', 'p': 61, 'prec': 20, 'unit': 209954268367904437738948285443366, 'val': 1}
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id: 25114
{'lmfdb_iso': '1083.b', 'p': 67, 'prec': 20, 'unit': 33129534699831467608718852820537437, 'val': 1}
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id: 25120
{'lmfdb_iso': '1083.b', 'p': 71, 'prec': 20, 'unit': 39289089374948826492654776473276158, 'val': 1}
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id: 25117
{'lmfdb_iso': '1083.b', 'p': 73, 'prec': 20, 'unit': 6221370250630042132890114242595049, 'val': 1}
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id: 25112
{'lmfdb_iso': '1083.b', 'p': 79, 'prec': 20, 'unit': 653927851685882352934880914558462902, 'val': 1}
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id: 25119
{'lmfdb_iso': '1083.b', 'p': 89, 'prec': 20, 'unit': 2839675447507260878778866597755372347, 'val': 1}
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id: 25104
{'lmfdb_iso': '1083.b', 'p': 97, 'prec': 20, 'unit': 10639169257454712834453922226274780744, 'val': 1}