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ec_curvedata • Show schema
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{'Ciso': '58a', 'Clabel': '58a1', 'Cnumber': 1, 'abc_quality': 0.8512176431807859, 'absD': 116, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 116, 'ainvs': [1, -1, 0, -1, 1], 'analytic_rank': 1, 'bad_primes': [2, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 58, 'degree': 4, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.90222852034927295517998938458', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-185193, 116], 'lmfdb_iso': '58.a', 'lmfdb_label': '58.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1, 1], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['116.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.042420307839929849766777051945', 'prec': 107}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90222852034927295517998938458', 'prec': 107}, 'szpiro_ratio': 3.1677977330202727, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -3, 1, -3, 3, -2, -1, 6, 3, -1, -3, 3, 2, 9, 1, -4, -6, -8, -3], 'aplist': [-1, -3, -3, -2, -1, 3, -4, -8, 0, -1, 3, -8, -2, 7, 11, 1, -4, 4, -4, -2, -12, -7, 0, -6, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 58, 'isogeny_matrix': [[1]], 'lmfdb_iso': '58.a', 'trace_hash': 465711061579246240}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '6.0766711675100035265355200272', 'prec': 100}, 'conductor': 58, 'gens': [[0, 1, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.042420307839929849766777051945', 'prec': 107}], 'lmfdb_label': '58.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '5.4655916988863770997253673433', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '0.46370416478825057844059634784333129715', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-1, 0, 1, 2, 4, 15]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [5, 1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '58.a1'}
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ec_torsion_growth • Show schema
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id: 2069
{'degree': 3, 'field': [-2, 0, -1, 1], 'lmfdb_label': '58.a1', 'torsion': [2]}
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id: 2070
{'degree': 6, 'field': [16, -8, 22, 10, -1, -2, 1], 'lmfdb_label': '58.a1', 'torsion': [2, 2]}
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id: 2071
{'degree': 8, 'field': [-8, 29, -26, -7, 7, -7, 7, -4, 1], 'lmfdb_label': '58.a1', 'torsion': [3]}
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id: 2072
{'degree': 12, 'field': [46, 1, -99, 59, 77, -103, 13, 51, -37, 3, 9, -5, 1], 'lmfdb_label': '58.a1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 302
{'conductor': 58, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 303
{'conductor': 58, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58.a1', 'prime': 29, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[89, 2, 89, 3], [59, 2, 59, 3], [115, 2, 114, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 115, 0]], 'adelic_image': '116.2.0.?', 'conductor': 58, 'lmfdb_label': '58.a1', 'prime': 0}
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ec_padic • Show schema
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id: 3
{'lmfdb_iso': '58.a', 'p': 5, 'prec': 20, 'unit': 6653031322696, 'val': 1}
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id: 4
{'lmfdb_iso': '58.a', 'p': 7, 'prec': 20, 'unit': 485755365338708, 'val': 1}
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id: 2
{'lmfdb_iso': '58.a', 'p': 11, 'prec': 20, 'unit': 44127105894868905537, 'val': 1}
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id: 8
{'lmfdb_iso': '58.a', 'p': 13, 'prec': 20, 'unit': 681867454167108918588, 'val': 1}
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id: 10
{'lmfdb_iso': '58.a', 'p': 17, 'prec': 20, 'unit': 44768636044727285328354, 'val': 1}
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id: 11
{'lmfdb_iso': '58.a', 'p': 19, 'prec': 20, 'unit': 271226352687962857119414, 'val': 1}
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id: 5
{'lmfdb_iso': '58.a', 'p': 31, 'prec': 20, 'unit': 190865202785178526599935314, 'val': 2}
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id: 19
{'lmfdb_iso': '58.a', 'p': 37, 'prec': 20, 'unit': 384846199812687532958230446942, 'val': 1}
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id: 6
{'lmfdb_iso': '58.a', 'p': 41, 'prec': 20, 'unit': 2572237119915660129067376328227, 'val': 1}
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id: 7
{'lmfdb_iso': '58.a', 'p': 43, 'prec': 20, 'unit': 7501337035434362296864771562401, 'val': 1}
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id: 17
{'lmfdb_iso': '58.a', 'p': 47, 'prec': 20, 'unit': 20419988446986353024510765672521, 'val': 1}
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id: 12
{'lmfdb_iso': '58.a', 'p': 53, 'prec': 20, 'unit': 7538274091334885708578142476800128, 'val': -1}
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id: 13
{'lmfdb_iso': '58.a', 'p': 59, 'prec': 20, 'unit': 3379172516866798573260684871890597, 'val': 1}
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id: 18
{'lmfdb_iso': '58.a', 'p': 61, 'prec': 20, 'unit': 179387261070083722152978200183841, 'val': 1}
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id: 1
{'lmfdb_iso': '58.a', 'p': 67, 'prec': 20, 'unit': 37468430104027915154012115845236455, 'val': 1}
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id: 16
{'lmfdb_iso': '58.a', 'p': 71, 'prec': 20, 'unit': 55391190702391552708275524626375746, 'val': 1}
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id: 14
{'lmfdb_iso': '58.a', 'p': 73, 'prec': 20, 'unit': 117836602785611995772622344610418047, 'val': 1}
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id: 9
{'lmfdb_iso': '58.a', 'p': 79, 'prec': 20, 'unit': 133134457819959446332692467183161865, 'val': 1}
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id: 15
{'lmfdb_iso': '58.a', 'p': 89, 'prec': 20, 'unit': 8555120895563463025863874298607953044, 'val': 1}
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id: 0
{'lmfdb_iso': '58.a', 'p': 97, 'prec': 20, 'unit': 8471152617139064438417376357679138234, 'val': 1}