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ec_curvedata • Show schema
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{'Ciso': '3366e', 'Clabel': '3366e1', 'Cnumber': 1, 'abc_quality': 1.0219861987163863, 'absD': 8129560372920188928, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [1, -1, 0, -1849032, 958443840], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 3366, 'degree': 92160, 'elladic_images': ['8.6.0.4', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4409448846590742968098291100', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [959024269496848362625, 11151660319506432], 'lmfdb_iso': '3366.f', 'lmfdb_label': '3366.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -205448, -35497920], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.d.1', '24.48.0-24.bx.1.11', '66.48.0-66.b.1.3', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7643470534791151798529329690', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8916387403250194511122064915', 'prec': 100}, 'szpiro_ratio': 6.760358857511509, '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, 0, 0, 2, -1, 0, 0, -1, 0, -4, -2, 0, 1, 1, 0, 8, 0], 'aplist': [-1, 0, 0, 2, -1, -4, 1, 8, -6, -6, -4, 2, 6, -4, -6, 12, 0, -4, -4, -6, 2, -10, -12, -18, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 3366, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '3366.f', 'trace_hash': 1366193475497050641}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0075826709803525175241452978537', 'prec': 110}, 'conductor': 3366, 'gens': [[3969, 234936, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.7643470534791151798529329690', 'prec': 100}], 'lmfdb_label': '3366.f3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23410651994888889932022418439', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6989424569352548496620082510926780806', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[720, -360, 1]], 'xcoord_integral_points': [720, 3969]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': 'a', '5': [3, 3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [4, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3366.f3'}
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ec_torsion_growth • Show schema
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id: 176118
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '3366.f3', 'torsion': [2, 2]}
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id: 176119
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '3366.f3', 'torsion': [6]}
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id: 176120
{'degree': 3, 'field': [-12, 6, -1, 1], 'lmfdb_label': '3366.f3', 'torsion': [6]}
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id: 176121
{'degree': 4, 'field': [1, -2, 5, -2, 1], 'lmfdb_label': '3366.f3', 'torsion': [4]}
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id: 176122
{'degree': 4, 'field': [9, -3, -2, -1, 1], 'lmfdb_label': '3366.f3', 'torsion': [2, 6]}
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id: 176124
{'degree': 6, 'field': [-96, -24, -80, -48, 1, -3, 1], 'lmfdb_label': '3366.f3', 'torsion': [2, 6]}
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id: 176123
{'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '3366.f3', 'torsion': [3, 6]}
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id: 176127
{'degree': 8, 'field': [4, 0, -2, 8, -1, -2, 3, -2, 1], 'lmfdb_label': '3366.f3', 'torsion': [12]}
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id: 176126
{'degree': 8, 'field': [187, 88, -40, -92, 37, 8, 2, -4, 1], 'lmfdb_label': '3366.f3', 'torsion': [2, 4]}
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id: 176125
{'degree': 8, 'field': [17588352, 406272, -1244496, -14928, 30070, 274, -297, -2, 1], 'lmfdb_label': '3366.f3', 'torsion': [2, 4]}
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id: 176128
{'degree': 12, 'field': [576, -1800, 1563, 975, 676, 279, 275, -264, 9, 21, -4, -3, 1], 'lmfdb_label': '3366.f3', 'torsion': [6, 6]}
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id: 176129
{'degree': 12, 'field': [3888, -1296, -3348, 1620, -315, -54, 519, -126, 94, -30, 17, -6, 1], 'lmfdb_label': '3366.f3', 'torsion': [12]}
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id: 176132
{'degree': 16, 'field': [9, -18, -33, 42, 277, -444, 294, -112, 62, -88, 62, -4, -27, 18, -1, -2, 1], 'lmfdb_label': '3366.f3', 'torsion': [2, 12]}
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id: 176130
{'degree': 16, 'field': [43283241, 0, 33696, 0, 3857904, 0, -917064, 0, -60378, 0, 5088, 0, 1120, 0, 40, 0, 1], 'lmfdb_label': '3366.f3', 'torsion': [8]}
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id: 176131
{'degree': 16, 'field': [75524933124, 0, 4660462296, 0, -949267119, 0, -12769476, 0, 3025348, 0, 3626, 0, -3216, 0, 8, 0, 1], 'lmfdb_label': '3366.f3', 'torsion': [2, 12]}
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id: 176133
{'degree': 18, 'field': [36784547748, 59607115704, 69672990672, 54911859492, 36201057264, 20072935116, 9613544665, 3648748428, 1074594315, 222079044, 31203834, 1821924, -162989, -61020, -5718, -552, 3, 0, 1], 'lmfdb_label': '3366.f3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 61501
{'conductor': 3366, 'conductor_valuation': 1, 'discriminant_valuation': 30, 'j_denominator_valuation': 30, 'kodaira_symbol': 34, 'lmfdb_label': '3366.f3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 61502
{'conductor': 3366, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '3366.f3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 61503
{'conductor': 3366, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3366.f3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 61504
{'conductor': 3366, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3366.f3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1685932
{'adelic_gens': [[11, 2, 214, 255], [130, 3, 45, 256], [214, 253, 99, 20], [1, 12, 0, 1], [1, 6, 6, 37], [1, 0, 12, 1], [253, 12, 252, 13], [15, 58, 230, 5], [133, 12, 6, 73]], 'adelic_image': '264.96.1.?', 'conductor': 3366, 'lmfdb_label': '3366.f3', 'prime': 0}
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id: 16920
{'conductor': 3366, 'elladic_image': '8.6.0.4', 'lmfdb_label': '3366.f3', 'modell_image': '2B', 'prime': 2}
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id: 16921
{'conductor': 3366, 'elladic_image': '3.8.0.2', 'lmfdb_label': '3366.f3', 'modell_image': '3B.1.2', 'prime': 3}
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ec_padic • Show schema
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id: 111939
{'lmfdb_iso': '3366.f', 'p': 7, 'prec': 20, 'unit': 10910584202828224, 'val': 1}
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id: 111943
{'lmfdb_iso': '3366.f', 'p': 13, 'prec': 20, 'unit': 117582740203025009966, 'val': 1}
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id: 111945
{'lmfdb_iso': '3366.f', 'p': 19, 'prec': 20, 'unit': 759921485834963989886976, 'val': 1}
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id: 111948
{'lmfdb_iso': '3366.f', 'p': 23, 'prec': 20, 'unit': 26261468558720468581598141, 'val': 1}
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id: 111942
{'lmfdb_iso': '3366.f', 'p': 29, 'prec': 20, 'unit': 5908025549416941555846336946, 'val': 1}
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id: 111953
{'lmfdb_iso': '3366.f', 'p': 31, 'prec': 20, 'unit': 214931257688009778268894900, 'val': 1}
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id: 111938
{'lmfdb_iso': '3366.f', 'p': 37, 'prec': 20, 'unit': 290064710513690022739072174283, 'val': 1}
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id: 111940
{'lmfdb_iso': '3366.f', 'p': 41, 'prec': 20, 'unit': 400644706876700631443696794336, 'val': 1}
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id: 111941
{'lmfdb_iso': '3366.f', 'p': 43, 'prec': 20, 'unit': 9881194330555643644468343576116, 'val': 1}
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id: 111944
{'lmfdb_iso': '3366.f', 'p': 47, 'prec': 20, 'unit': 19337996660385677627240889619968, 'val': 1}
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id: 111946
{'lmfdb_iso': '3366.f', 'p': 53, 'prec': 20, 'unit': 52594578302008533691886749385210, 'val': 1}
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id: 111952
{'lmfdb_iso': '3366.f', 'p': 61, 'prec': 20, 'unit': 3254114943646916189031861848605241, 'val': 1}
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id: 111937
{'lmfdb_iso': '3366.f', 'p': 67, 'prec': 20, 'unit': 47199993164803955036907768894642571, 'val': 1}
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id: 111950
{'lmfdb_iso': '3366.f', 'p': 71, 'prec': 20, 'unit': 128217871497222561599055299282447719, 'val': 1}
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id: 111947
{'lmfdb_iso': '3366.f', 'p': 73, 'prec': 20, 'unit': 116418390059039262342105929069581027, 'val': 1}
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id: 111951
{'lmfdb_iso': '3366.f', 'p': 79, 'prec': 20, 'unit': 648168007620473689710971503599135641, 'val': 1}
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id: 111936
{'lmfdb_iso': '3366.f', 'p': 83, 'prec': 20, 'unit': 1740258951547699857955159986273498534, 'val': 1}
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id: 111949
{'lmfdb_iso': '3366.f', 'p': 89, 'prec': 20, 'unit': 7723327987524933227443216658734341045, 'val': 1}
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id: 111935
{'lmfdb_iso': '3366.f', 'p': 97, 'prec': 20, 'unit': 45278147551366838995948819079898589121, 'val': 1}