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ec_curvedata • Show schema
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{'Ciso': '64320j', 'Clabel': '64320j2', 'Cnumber': 2, 'abc_quality': 0.9560396492729272, 'absD': 14071069305077760, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8040, 'ainvs': [0, -1, 0, -196225, -32900735], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 67], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 64320, 'degree': 487424, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8965985106421555736534451976', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [6374982726455618, 107353739205], 'lmfdb_iso': '64320.w', 'lmfdb_label': '64320.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -49056, -4137120], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '804.6.0.?', '8040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 21440], [5, 6, 12864], [7, 2, 21440], [67, 68, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91464000484889971864569969220', 'prec': 103}, 'szpiro_ratio': 4.351182045369736, '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, 1, 0, -2, 0, 1, 0, 0, 0, -6, 0, -1, 0, 0, 0, 0, 0], 'aplist': [0, -1, 1, -2, 0, -6, 0, 0, -2, -4, 8, 6, -6, -8, -6, 2, -2, -4, -1, -8, 2, 0, -16, -10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 64320, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '64320.w', 'trace_hash': 1845983985746819310}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.022523478582315395367343214947', 'prec': 107}, 'conductor': 64320, 'gens': [], 'heights': [], 'lmfdb_label': '64320.w1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22706716981574610794339117087', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.45413433963149221588678234174560721202', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[511, 0, 1]], 'xcoord_integral_points': [511]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '67': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '64320.w1'}
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ec_torsion_growth • Show schema
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id: 3072328
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '64320.w1', 'torsion': [2, 2]}
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id: 3072329
{'degree': 4, 'field': [40, 0, -19, 0, 1], 'lmfdb_label': '64320.w1', 'torsion': [4]}
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id: 3072332
{'degree': 8, 'field': [-115248, 0, 12352, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '64320.w1', 'torsion': [6]}
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id: 3072330
{'degree': 8, 'field': [615, -1300, 1530, -480, 291, -64, 26, -4, 1], 'lmfdb_label': '64320.w1', 'torsion': [2, 4]}
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id: 3072331
{'degree': 8, 'field': [2500, 0, -4140, 0, 1421, 0, -78, 0, 1], 'lmfdb_label': '64320.w1', 'torsion': [2, 4]}
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id: 3072334
{'degree': 16, 'field': [150544, 0, 240832, 0, 3040, 0, -248976, 0, 35400, 0, -1224, 0, 28, 0, -20, 0, 1], 'lmfdb_label': '64320.w1', 'torsion': [2, 6]}
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id: 3072333
{'degree': 16, 'field': [5115735844, 28730374296, 40354253144, 8863506000, -6138938687, -918406050, 192504911, 17299314, 13342675, -1552020, -357610, -27924, 10735, 1110, -193, -6, 1], 'lmfdb_label': '64320.w1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1552529
{'conductor': 64320, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '64320.w1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1552530
{'conductor': 64320, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '64320.w1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1552531
{'conductor': 64320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '64320.w1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 1552532
{'conductor': 64320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64320.w1', 'prime': 67, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2090164
{'adelic_gens': [[6434, 1, 4823, 0], [5161, 4, 2282, 9], [2681, 4, 5362, 9], [1, 2, 2, 5], [1, 0, 4, 1], [2, 1, 4019, 0], [1, 4, 0, 1], [3017, 5026, 5024, 3015], [3, 4, 8, 11], [8037, 4, 8036, 5]], 'adelic_image': '8040.12.0.?', 'conductor': 64320, 'lmfdb_label': '64320.w1', 'prime': 0}
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id: 269976
{'conductor': 64320, 'elladic_image': '2.3.0.1', 'lmfdb_label': '64320.w1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 64320.w does not appear in ec_padic