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ec_curvedata • Show schema
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{'Ciso': '350064o', 'Clabel': '350064o2', 'Cnumber': 2, 'abc_quality': 0.8030461980804471, 'absD': 583889948928, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 29172, 'ainvs': [0, 0, 0, -471, -36974], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 350064, 'degree': 344064, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93770125891576502891286450437', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [-61918288, 3128697], 'lmfdb_iso': '350064.o', 'lmfdb_label': '350064.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -52, -1352], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.a.1', '1716.6.0.?', '29172.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4444553199206433308617351248', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.073703005791586689729579528397', 'prec': 110}, 'szpiro_ratio': 2.7071466788256546, '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, -2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, 0, -2, 0, 1, 1, -1, 0, 4, -6, -4, -8, 0, 10, 8, -6, -12, -12, -6, 0, -14, 8, -14, -6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 350064, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '350064.o', 'trace_hash': 522072064078298797}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.15329325115788520653884275074', 'prec': 103}, 'conductor': 350064, 'gens': [[90, 806, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4444553199206433308617351248', 'prec': 100}], 'lmfdb_label': '350064.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40275986675775981483707152442', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5491534628171810560371950160348719983', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[38, 0, 1]], 'xcoord_integral_points': [38, 90]}
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lmfdb_label 350064.o2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14612656
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '350064.o2', 'torsion': [2, 2]}
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id: 14612657
{'degree': 4, 'field': [-153, 0, -57, 0, 1], 'lmfdb_label': '350064.o2', 'torsion': [4]}
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id: 14612660
{'degree': 8, 'field': [-7803, 0, 0, 0, -306, 0, -76, 0, 1], 'lmfdb_label': '350064.o2', 'torsion': [6]}
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id: 14612658
{'degree': 8, 'field': [653994, -200376, -33668, 17156, 884, -76, 98, -4, 1], 'lmfdb_label': '350064.o2', 'torsion': [2, 4]}
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id: 14612659
{'degree': 8, 'field': [1221025, 0, 211718, 0, 2739, 0, -46, 0, 1], 'lmfdb_label': '350064.o2', 'torsion': [2, 4]}
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id: 14612662
{'degree': 16, 'field': [130084291584, 0, 69558961472, 0, 9815387920, 0, 836592576, 0, 32608448, 0, 536248, 0, 336, 0, -16, 0, 1], 'lmfdb_label': '350064.o2', 'torsion': [2, 6]}
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id: 14612661
{'degree': 16, 'field': [348965477289, 0, 0, 0, -7453868994, 0, 808122744, 0, -34628877, 0, -644328, 0, 39366, 0, -456, 0, 1], 'lmfdb_label': '350064.o2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 8666371
{'conductor': 350064, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '350064.o2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 8666372
{'conductor': 350064, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '350064.o2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8666373
{'conductor': 350064, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350064.o2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 8666374
{'conductor': 350064, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350064.o2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 8666375
{'conductor': 350064, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '350064.o2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3849852
{'adelic_gens': [[1, 0, 4, 1], [11221, 4, 22442, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [22310, 1, 3431, 0], [29169, 4, 29168, 5], [2653, 4, 5306, 9], [9725, 4, 19450, 9], [21880, 7297, 7293, 21880]], 'adelic_image': '29172.12.0.?', 'conductor': 350064, 'lmfdb_label': '350064.o2', 'prime': 0}
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id: 1211509
{'conductor': 350064, 'elladic_image': '2.3.0.1', 'lmfdb_label': '350064.o2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 350064.o does not appear in ec_padic