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ec_curvedata • Show schema
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{'Ciso': '20328w', 'Clabel': '20328w1', 'Cnumber': 1, 'abc_quality': 0.77652414930063, 'absD': 78710016, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 42, 'ainvs': [0, 1, 0, -161, -717], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20328, 'degree': 5376, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23585282241836506069111903089', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [123904, 21], 'lmfdb_iso': '20328.o', 'lmfdb_label': '20328.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -161, -717], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['42.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0255437222210553269410169094', 'prec': 103}, 'szpiro_ratio': 2.7081336356828083, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 3, 0, 6, 0], 'aplist': [0, 1, -1, -1, 0, 0, 3, 6, 4, -2, 10, -2, 10, -3, 9, 0, -11, 0, -5, 0, 16, -16, -9, 9, 6], 'class_deg': 1, 'class_size': 1, 'conductor': 20328, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20328.o', 'trace_hash': 674301719461170332}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.62393714501008853012990317747', 'prec': 103}, 'conductor': 20328, 'gens': [], 'heights': [], 'lmfdb_label': '20328.o1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3550451139175044216938279086', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7100902278350088433876558172492374522', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '7': [0, 0], '11': 'a', '13': [0, 0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '20328.o1'}
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ec_torsion_growth • Show schema
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id: 1039010
{'degree': 3, 'field': [57, -29, -1, 1], 'lmfdb_label': '20328.o1', 'torsion': [2]}
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id: 1039011
{'degree': 6, 'field': [-27, -9, 114, -3, -38, -1, 1], 'lmfdb_label': '20328.o1', 'torsion': [2, 2]}
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id: 1039012
{'degree': 8, 'field': [-4107, 0, 1784, 0, -222, 0, 0, 0, 1], 'lmfdb_label': '20328.o1', 'torsion': [3]}
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id: 1039013
{'degree': 12, 'field': [-21639, 51564, 15696, -23262, -3725, 1404, 136, 244, -171, 28, 16, -6, 1], 'lmfdb_label': '20328.o1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 461632
{'conductor': 20328, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '20328.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 461633
{'conductor': 20328, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '20328.o1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 461634
{'conductor': 20328, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '20328.o1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 461635
{'conductor': 20328, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '20328.o1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 41, 0], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [41, 2, 40, 3], [29, 2, 29, 3]], 'adelic_image': '42.2.0.?', 'conductor': 20328, 'lmfdb_label': '20328.o1', 'prime': 0}
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lmfdb_iso 20328.o does not appear in ec_padic