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ec_curvedata • Show schema
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{'Ciso': '20286bd', 'Clabel': '20286bd2', 'Cnumber': 2, 'abc_quality': 0.9444691501696788, 'absD': 14699970074916, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3864, 'ainvs': [1, -1, 0, -7506, 171072], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20286, 'degree': 49152, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2307018819589286935416839354', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 171396], 'lmfdb_iso': '20286.z', 'lmfdb_label': '20286.z3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17, 11], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '84.12.0.?', '92.12.0.?', '168.24.0.?', '184.24.0.?', '1932.24.0.?', '3864.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29155933690278280470861505478', 'prec': 107}, 'szpiro_ratio': 3.8702627667842076, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 2, 0, 0, -1, 0, -2, 0, 0, 2, 0, 0, 1, 2, 0, 8, 2], 'aplist': [-1, 0, 2, 0, 0, 2, 2, 8, 1, 2, 8, 2, 10, 8, 8, -2, -4, -2, 8, 0, 6, 8, -16, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 20286, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '20286.z', 'trace_hash': 1881285000243041014}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.085315104603510290421096696604', 'prec': 107}, 'conductor': 20286, 'gens': [], 'heights': [], 'lmfdb_label': '20286.z3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.64929893904430853733814580716', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5971957561772341493525832286485198197', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-96, 48, 1], [72, -36, 1]], 'xcoord_integral_points': [-96, 72]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': 'a', '7': 'a', '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '20286.z3'}
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ec_torsion_growth • Show schema
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id: 1036678
{'degree': 4, 'field': [7, 14, -13, -2, 1], 'lmfdb_label': '20286.z3', 'torsion': [2, 4]}
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id: 1036677
{'degree': 4, 'field': [246, -54, 55, -2, 1], 'lmfdb_label': '20286.z3', 'torsion': [2, 4]}
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id: 1036676
{'degree': 4, 'field': [484, 0, -2, 0, 1], 'lmfdb_label': '20286.z3', 'torsion': [2, 4]}
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id: 1036679
{'degree': 8, 'field': [-213, -769, -377, -516, -326, -46, 39, -1, 1], 'lmfdb_label': '20286.z3', 'torsion': [2, 6]}
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id: 1036680
{'degree': 16, 'field': [14641, 0, -116644, 0, 349694, 0, -464160, 0, 229667, 0, 960, 0, 974, 0, -4, 0, 1], 'lmfdb_label': '20286.z3', 'torsion': [4, 4]}
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id: 1036683
{'degree': 16, 'field': [126736, 0, -596352, 0, 806576, 0, -350496, 0, 66012, 0, -5904, 0, 332, 0, -24, 0, 1], 'lmfdb_label': '20286.z3', 'torsion': [2, 8]}
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id: 1036682
{'degree': 16, 'field': [1272672, 3095712, -1025880, -3990312, 1733173, -5142, 557374, -523466, 192006, -44232, 12538, -2310, 658, -154, 42, -8, 1], 'lmfdb_label': '20286.z3', 'torsion': [2, 8]}
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id: 1036681
{'degree': 16, 'field': [10203998256, -17235000000, 14551534704, -8241806880, 3930244684, -1392975584, 427975020, -100349936, 19389057, -2613376, 215088, 9080, -3294, 256, 36, -8, 1], 'lmfdb_label': '20286.z3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 460446
{'conductor': 20286, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '20286.z3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 460447
{'conductor': 20286, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '20286.z3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 460448
{'conductor': 20286, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20286.z3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 460449
{'conductor': 20286, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '20286.z3', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1799721
{'adelic_gens': [[1, 0, 4, 1], [1429, 924, 1848, 379], [2575, 0, 0, 3863], [1103, 0, 0, 3863], [1, 4, 0, 1], [1933, 924, 2394, 1849], [2857, 2394, 0, 1], [3861, 4, 3860, 5]], 'adelic_image': '3864.48.0.?', 'conductor': 20286, 'lmfdb_label': '20286.z3', 'prime': 0}
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id: 94664
{'conductor': 20286, 'elladic_image': '8.12.0.3', 'lmfdb_label': '20286.z3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 20286.z does not appear in ec_padic