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ec_curvedata • Show schema
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{'Ciso': '214896f', 'Clabel': '214896f1', 'Cnumber': 1, 'abc_quality': 1.3018384230554119, 'absD': 906694759276553808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, 1, 0, -1187413, 495517394], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 214896, 'degree': 2764800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2937198423533208843328295986', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2], 'jinv': [6532108386304000, 31987847133], 'lmfdb_iso': '214896.ca', 'lmfdb_label': '214896.ca2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9813, 375858], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86372314576748717582944710247', 'prec': 103}, 'szpiro_ratio': 4.363565854322269, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, 1, 0, 0, 0, -2, 4, 2, 0, 4, 2, -1, -10, -2, 8, 10, 0, 10, 8, -16, -10, -14, 4, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 214896, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '214896.ca', 'trace_hash': 1516906117288579028}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010178886197434240944455862944', 'prec': 107}, 'conductor': 214896, 'gens': [], 'heights': [], 'lmfdb_label': '214896.ca2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28143828364819199196761497492', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8143828364819199196761497491859421129', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-1258, 0, 1]], 'xcoord_integral_points': [-1258]}
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lmfdb_label 214896.ca2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9375439
{'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '214896.ca2', 'torsion': [2, 2]}
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id: 9375440
{'degree': 4, 'field': [1158, 12, 88, -2, 1], 'lmfdb_label': '214896.ca2', 'torsion': [4]}
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id: 9375443
{'degree': 8, 'field': [-8721075, 0, -1371304, 0, -10230, 0, 0, 0, 1], 'lmfdb_label': '214896.ca2', 'torsion': [6]}
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id: 9375441
{'degree': 8, 'field': [-322047, 939972, -406364, 35804, 6394, -668, -44, -4, 1], 'lmfdb_label': '214896.ca2', 'torsion': [2, 4]}
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id: 9375442
{'degree': 8, 'field': [363609, 0, 31902, 0, 6247, 0, 142, 0, 1], 'lmfdb_label': '214896.ca2', 'torsion': [2, 4]}
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id: 9375444
{'degree': 16, 'field': [1089066001, 0, -311579120, 0, 30345472, 0, 12964120, 0, -1993070, 0, 53584, 0, 8656, 0, 184, 0, 1], 'lmfdb_label': '214896.ca2', 'torsion': [8]}
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id: 9375445
{'degree': 16, 'field': [3665473688925, 2323073068830, -2901872002014, 168345160596, 70028584956, -6784645578, 2150681436, -497798592, 54015383, -9518014, 1106552, -19020, 17268, -1044, -68, -8, 1], 'lmfdb_label': '214896.ca2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 5327172
{'conductor': 214896, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '214896.ca2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5327173
{'conductor': 214896, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '214896.ca2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 5327174
{'conductor': 214896, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '214896.ca2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 5327175
{'conductor': 214896, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '214896.ca2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3037794
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [337, 112, 332, 111], [149, 4, 298, 9], [441, 4, 440, 5], [374, 1, 35, 0]], 'adelic_image': '444.12.0.?', 'conductor': 214896, 'lmfdb_label': '214896.ca2', 'prime': 0}
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id: 790899
{'conductor': 214896, 'elladic_image': '2.3.0.1', 'lmfdb_label': '214896.ca2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 214896.ca does not appear in ec_padic