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ec_curvedata • Show schema
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{'Ciso': '20181f', 'Clabel': '20181f1', 'Cnumber': 1, 'abc_quality': 1.1001959515897402, 'absD': 392801137983387, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, -1, 1, -40195106, 98099593124], 'analytic_rank': 0, 'bad_primes': [3, 7, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20181, 'degree': 1980000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7167053899859248015556288523', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-7776720357545683677184, 425329947], 'lmfdb_iso': '20181.b', 'lmfdb_label': '20181.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -40195106, 98099593124], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2883], [3, 4, 6727], [7, 8, 2883], [11, 2, 6727], [31, 332, 21]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5720429884908760529125740775', 'prec': 97}, 'szpiro_ratio': 6.470758222106768, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -2, -1, 2, 4, 2, 1, 0, 1, -8, 2, -2, 1, -2, -4, -4, -4, -2, -7, 8], 'aplist': [-2, -1, 4, 1, 2, 1, -4, -7, -6, 0, 0, 3, 2, 5, 4, -2, 12, -6, -4, 10, 5, 0, -16, -10, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 20181, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20181.b', 'trace_hash': 1664652535095855535}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0043681714935260862282856848634', 'prec': 97}, 'conductor': 20181, 'gens': [], 'heights': [], 'lmfdb_label': '20181.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.29140930321717950923505490386', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1656372128687180369402196154501322372', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [14, 3, 0], '3': [0, 0], '5': [0, 0], '7': [1, 0], '11': [0, 0], '13': [4, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': 'a', '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '20181.b1'}
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ec_torsion_growth • Show schema
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id: 1032726
{'degree': 3, 'field': [-62, 0, 0, 1], 'lmfdb_label': '20181.b1', 'torsion': [2]}
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id: 1032727
{'degree': 6, 'field': [147, 0, -41, 0, 1, 0, 1], 'lmfdb_label': '20181.b1', 'torsion': [2, 2]}
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id: 1032728
{'degree': 8, 'field': [-301, -119, 56, 125, -59, -7, 7, -4, 1], 'lmfdb_label': '20181.b1', 'torsion': [3]}
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id: 1032729
{'degree': 12, 'field': [-147, 0, -82, 0, -45, 0, 4, 0, 11, 0, 6, 0, 1], 'lmfdb_label': '20181.b1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 458466
{'conductor': 20181, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '20181.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 458467
{'conductor': 20181, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '20181.b1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 458468
{'conductor': 20181, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '20181.b1', 'prime': 31, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 20181, 'lmfdb_label': '20181.b1', 'prime': 0}
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lmfdb_iso 20181.b does not appear in ec_padic
