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ec_curvedata • Show schema
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{'Ciso': '202860cj', 'Clabel': '202860cj1', 'Cnumber': 1, 'abc_quality': 1.154645073034371, 'absD': 456625181250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, 0, 0, -31752, -1919771], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 202860, 'degree': 691200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5415697498305236073955010977', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2], 'jinv': [69657034752, 8984375], 'lmfdb_iso': '202860.cn', 'lmfdb_label': '202860.cn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -648, 5597], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '92.6.0.?', '138.6.0.?', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5069947387789230245328686770', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3381], [3, 6, 22540], [5, 6, 40572], [7, 26, 4140], [23, 24, 8820]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.062912542949191095521602709595', 'prec': 107}, 'szpiro_ratio': 3.4950726330582658, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, 1, 0, 4, 2, 6, -2, 1, 4, -8, 2, 0, -6, -4, -10, 4, 6, -10, 8, 10, -14, -4, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 202860, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '202860.cn', 'trace_hash': 1497015032435566630}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.045815193839272844311948031705', 'prec': 107}, 'conductor': 202860, 'gens': [[-117, 440, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5069947387789230245328686770', 'prec': 100}], 'lmfdb_label': '202860.cn2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36068794919088650302070292432', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.119445921227187775561193913025945271', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[203, 0, 1]], 'xcoord_integral_points': [-117, 203]}
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lmfdb_label 202860.cn2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8883859
{'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '202860.cn2', 'torsion': [2, 2]}
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id: 8883860
{'degree': 4, 'field': [814, -20, -84, -2, 1], 'lmfdb_label': '202860.cn2', 'torsion': [4]}
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id: 8883861
{'degree': 8, 'field': [1089, 0, -36018, 0, 4695, 0, -138, 0, 1], 'lmfdb_label': '202860.cn2', 'torsion': [2, 4]}
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id: 8883863
{'degree': 8, 'field': [25824, 38544, 26952, 11688, 2160, 42, -32, -4, 1], 'lmfdb_label': '202860.cn2', 'torsion': [6]}
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id: 8883862
{'degree': 8, 'field': [1755625, 0, 255100, 0, 10542, 0, 172, 0, 1], 'lmfdb_label': '202860.cn2', 'torsion': [2, 4]}
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id: 8883865
{'degree': 16, 'field': [-68347418100, 22343419350, 1893324975, 1547512410, -579016980, -243171900, 34982287, 9727008, 2176969, -308636, -227777, 1108, 8569, 142, -128, -6, 1], 'lmfdb_label': '202860.cn2', 'torsion': [2, 6]}
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id: 8883864
{'degree': 16, 'field': [-34404023, 63202464, 61092328, 4060024, 11324056, -5649744, -1031696, -1070088, -128822, 106880, -4184, 5752, -184, -176, 16, -8, 1], 'lmfdb_label': '202860.cn2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 5021956
{'conductor': 202860, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '202860.cn2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5021957
{'conductor': 202860, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '202860.cn2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5021958
{'conductor': 202860, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '202860.cn2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 5021959
{'conductor': 202860, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '202860.cn2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5021960
{'conductor': 202860, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '202860.cn2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2962748
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [194, 1, 179, 0], [1, 4, 0, 1], [273, 4, 272, 5], [73, 208, 68, 207], [188, 1, 91, 0]], 'adelic_image': '276.12.0.?', 'conductor': 202860, 'lmfdb_label': '202860.cn2', 'prime': 0}
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id: 750803
{'conductor': 202860, 'elladic_image': '2.3.0.1', 'lmfdb_label': '202860.cn2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 202860.cn does not appear in ec_padic