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ec_curvedata • Show schema
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{'Ciso': '3264bc', 'Clabel': '3264bc3', 'Cnumber': 3, 'abc_quality': 1.0315574162602832, 'absD': 7093827403776, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [0, 1, 0, -110977, 14192255], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3264, 'degree': 12288, 'elladic_images': ['8.96.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5402254662014175636550591781', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [576615941610337, 27060804], 'lmfdb_iso': '3264.bc', 'lmfdb_label': '3264.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1734, -27936], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.96.0-8.e.1.3', '136.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099591', 'prec': 103}, 'szpiro_ratio': 5.742988461080882, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, -4, 0, 2, 0, 2, 0, 1, 0, 4, 0], 'aplist': [0, 1, 2, 0, -4, 2, 1, 4, 0, 10, -8, 2, 10, 12, 0, -6, 12, 10, -12, 0, 10, 8, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 3264, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '3264.bc', 'trace_hash': 334366994631129742}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.045938536802987021535045449157', 'prec': 107}, 'conductor': 3264, 'gens': [], 'heights': [], 'lmfdb_label': '3264.bc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.70249775913541607774907964702', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8099910365416643109963185880724807561', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[191, 0, 1], [193, 0, 1]], 'xcoord_integral_points': [-385, 191, 193]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3264.bc2'}
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ec_torsion_growth • Show schema
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id: 170666
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 4]}
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id: 170665
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 4]}
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id: 170667
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [4, 4]}
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id: 170669
{'degree': 4, 'field': [2, 12, -11, -2, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 8]}
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id: 170668
{'degree': 4, 'field': [18, 0, 0, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 8]}
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id: 170672
{'degree': 8, 'field': [-48, 0, 98, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 6]}
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id: 170671
{'degree': 8, 'field': [81, 0, -108, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [4, 8]}
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id: 170670
{'degree': 8, 'field': [256, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [4, 8]}
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id: 170675
{'degree': 16, 'field': [-318788, 2762256, -7090408, 4349472, 1556408, -3425880, 1518612, 477696, -276451, 66672, -24576, 0, 386, -72, 68, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 16]}
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id: 170676
{'degree': 16, 'field': [144, 0, 1656, 0, 3924, 0, 4040, 0, 1124, 0, -52, 0, -32, 0, 4, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 12]}
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id: 170677
{'degree': 16, 'field': [3721, 0, 3440, 0, 2356, 0, 468, 0, -150, 0, -144, 0, -32, 0, -4, 0, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 12]}
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id: 170674
{'degree': 16, 'field': [26118, -83664, 141624, -83808, 17940, 42960, -23616, 10848, 2437, -3128, 3244, -1592, 670, -200, 52, -8, 1], 'lmfdb_label': '3264.bc2', 'torsion': [2, 16]}
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id: 170673
{'degree': 16, 'field': [100258, 25688, -8524, -71592, 159290, -222416, 166912, -21384, -59117, 30648, 5416, -5320, 98, 336, -28, -8, 1], 'lmfdb_label': '3264.bc2', 'torsion': [8, 8]}
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ec_localdata • Show schema
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id: 59272
{'conductor': 3264, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '3264.bc2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 59273
{'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3264.bc2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 59274
{'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3264.bc2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1685207
{'adelic_gens': [[133, 26, 42, 21], [1, 0, 8, 1], [105, 8, 12, 33], [129, 8, 128, 9], [135, 94, 0, 33], [5, 4, 132, 133], [1, 8, 0, 1]], 'adelic_image': '136.192.1.?', 'conductor': 3264, 'lmfdb_label': '3264.bc2', 'prime': 0}
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id: 16359
{'conductor': 3264, 'elladic_image': '8.96.0.14', 'lmfdb_label': '3264.bc2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 3264.bc does not appear in ec_padic