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ec_curvedata • Show schema
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{'Ciso': '33635e', 'Clabel': '33635e2', 'Cnumber': 2, 'abc_quality': 0.9934440466452753, 'absD': 506070892919093359375, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1736, 'ainvs': [1, -1, 1, -7397478, -7666289794], 'analytic_rank': 1, 'bad_primes': [5, 7, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 33635, 'degree': 1269760, 'elladic_images': ['8.12.0.27'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7863300171996634754347981769', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1693243664559, 19140625], 'lmfdb_iso': '33635.c', 'lmfdb_label': '33635.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -7698, 259322], 'min_quad_twist_disc': -31, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.r.1', '56.24.0.df.1', '124.12.0.?', '248.24.0.?', '1736.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.613540719877365127165867535', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21083961383580379098792493349', 'prec': 103}, 'szpiro_ratio': 5.66648035127033, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, -1, 0, 1, 3, -3, 1, -4, 0, -4, -1, 0, -1, 4, 3, 4, 1], 'aplist': [-1, 0, -1, 1, -4, -4, 4, 4, -4, 0, 0, 8, -6, -12, 0, 0, 4, 4, -4, 8, 4, -4, -8, 12, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 33635, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '33635.c', 'trace_hash': 313103914999906367}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0038003578926843033868061549469', 'prec': 110}, 'conductor': 33635, 'gens': [[17499265, 70594612798, 39]], 'heights': [{'__RealLiteral__': 0, 'data': '12.613540719877365127165867535', 'prec': 100}], 'lmfdb_label': '33635.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.091606297066387755016653550265', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3109595164881287292408032202746119831', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-5765, 5761, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [17, 0], '3': [1, 1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': 'a', '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '33635.c1'}
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ec_torsion_growth • Show schema
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id: 1673917
{'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '33635.c1', 'torsion': [2, 2]}
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id: 1673918
{'degree': 4, 'field': [31, 0, 0, 0, 1], 'lmfdb_label': '33635.c1', 'torsion': [4]}
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id: 1673919
{'degree': 8, 'field': [-23008, 21696, 592, -4624, 1788, 192, -80, -4, 1], 'lmfdb_label': '33635.c1', 'torsion': [2, 4]}
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id: 1673920
{'degree': 8, 'field': [64, -16, 2, 26, -7, -10, 8, -4, 1], 'lmfdb_label': '33635.c1', 'torsion': [2, 4]}
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id: 1673922
{'degree': 8, 'field': [784, 0, -581, 0, 137, 0, -13, 0, 1], 'lmfdb_label': '33635.c1', 'torsion': [8]}
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id: 1673921
{'degree': 8, 'field': [784, 0, 581, 0, 137, 0, 13, 0, 1], 'lmfdb_label': '33635.c1', 'torsion': [8]}
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id: 1673923
{'degree': 8, 'field': [8575, 286475, 125425, 41600, 5710, -445, -131, -1, 1], 'lmfdb_label': '33635.c1', 'torsion': [6]}
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id: 1673925
{'degree': 16, 'field': [328, 1320, 572, 148, 4682, -2344, 2904, 306, -119, 246, -146, 78, 8, -10, 2, 0, 1], 'lmfdb_label': '33635.c1', 'torsion': [2, 8]}
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id: 1673924
{'degree': 16, 'field': [8608356, 2534976, 373248, 2943432, -675320, -614880, 351432, -139940, 22525, 4484, 2024, -52, -38, -28, 32, -8, 1], 'lmfdb_label': '33635.c1', 'torsion': [4, 4]}
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id: 1673926
{'degree': 16, 'field': [9751365001, 0, -739240754, 0, -134622929, 0, -14161937, 0, -896537, 0, -20642, 0, 106, 0, 16, 0, 1], 'lmfdb_label': '33635.c1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 789145
{'conductor': 33635, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '33635.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 789146
{'conductor': 33635, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33635.c1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 789147
{'conductor': 33635, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '33635.c1', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1888970
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [253, 2, 766, 9], [1306, 1305, 21, 1318], [3, 8, 1728, 1715], [5, 8, 48, 77], [1016, 3, 181, 1720], [1, 442, 434, 1], [1729, 8, 1728, 9]], 'adelic_image': '1736.48.1.?', 'conductor': 33635, 'lmfdb_label': '33635.c1', 'prime': 0}
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id: 150159
{'conductor': 33635, 'elladic_image': '8.12.0.27', 'lmfdb_label': '33635.c1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1643259
{'lmfdb_iso': '33635.c', 'p': 11, 'prec': 20, 'unit': 15218712627217045541, 'val': 1}
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id: 1643257
{'lmfdb_iso': '33635.c', 'p': 13, 'prec': 20, 'unit': 1456370389046922512597, 'val': 1}
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id: 1643260
{'lmfdb_iso': '33635.c', 'p': 17, 'prec': 20, 'unit': 74988593625888889211290, 'val': 1}
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id: 1643261
{'lmfdb_iso': '33635.c', 'p': 19, 'prec': 20, 'unit': 104613080306222652899920, 'val': 1}
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id: 1643263
{'lmfdb_iso': '33635.c', 'p': 23, 'prec': 20, 'unit': 63435947420898368365733612, 'val': 1}
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id: 1643253
{'lmfdb_iso': '33635.c', 'p': 37, 'prec': 20, 'unit': 36639979533004223770416216182, 'val': 1}
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id: 1643255
{'lmfdb_iso': '33635.c', 'p': 41, 'prec': 20, 'unit': 4032723062237055247596751850950, 'val': 1}
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id: 1643256
{'lmfdb_iso': '33635.c', 'p': 43, 'prec': 20, 'unit': 3401890158937850280165777271025, 'val': 1}
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id: 1643265
{'lmfdb_iso': '33635.c', 'p': 59, 'prec': 20, 'unit': 66929845091821462740667534726589, 'val': 2}
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id: 1643266
{'lmfdb_iso': '33635.c', 'p': 61, 'prec': 20, 'unit': 4375732086651134046898274923172922, 'val': 1}
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id: 1643252
{'lmfdb_iso': '33635.c', 'p': 67, 'prec': 20, 'unit': 17682223987031464645956394893702009, 'val': 1}
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id: 1643254
{'lmfdb_iso': '33635.c', 'p': 71, 'prec': 20, 'unit': 14317284888756378863353773550505594, 'val': 1}
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id: 1643262
{'lmfdb_iso': '33635.c', 'p': 73, 'prec': 20, 'unit': 66148312355835088753139213512299631, 'val': 1}
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id: 1643258
{'lmfdb_iso': '33635.c', 'p': 79, 'prec': 20, 'unit': 98113831322442113982845494221174239, 'val': 1}
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id: 1643251
{'lmfdb_iso': '33635.c', 'p': 83, 'prec': 20, 'unit': 1379739910937499300682415205527509464, 'val': 1}
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id: 1643264
{'lmfdb_iso': '33635.c', 'p': 89, 'prec': 20, 'unit': 1708116933505200955799439568102928654, 'val': 1}
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id: 1643250
{'lmfdb_iso': '33635.c', 'p': 97, 'prec': 20, 'unit': 1733834909523642319799460557485111605, 'val': 1}