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ec_curvedata • Show schema
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{'Ciso': '115920es', 'Clabel': '115920es4', 'Cnumber': 4, 'abc_quality': 0.9988537297590787, 'absD': 94646361600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -62320467, 189362579474], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 115920, 'degree': 7077888, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8997347281462469966675632459', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2, 4], 'jinv': [8964546681033941529169, 31696875000], 'lmfdb_iso': '115920.es', 'lmfdb_label': '115920.es1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -432781, 109548761], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '24.24.0-8.p.1.7', '184.24.0.?', '276.12.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.58964954735182975521945750868', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6572814032522468415527085060', 'prec': 100}, 'szpiro_ratio': 5.613492651399904, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 1, 1, 0, -2, 6, 0, -1, 10, -8, -6, 6, 0, 8, 14, 4, -14, -16, -8, -6, 0, 0, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 115920, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '115920.es', 'trace_hash': 1995915036138527670}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0030291614216634142112973888188', 'prec': 110}, 'conductor': 115920, 'gens': [[4553, 560, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.58964954735182975521945750868', 'prec': 103}], 'lmfdb_label': '115920.es1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22549687542202557715819832277', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5097043533983568560786528810569262180', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[4558, 0, 1]], 'xcoord_integral_points': [3433, 4553, 4558, 4583, 4783]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [2, 0], '11': [1, 3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '115920.es1'}
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ec_torsion_growth • Show schema
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id: 5314619
{'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [2, 2]}
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id: 5314621
{'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '115920.es1', 'torsion': [4]}
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id: 5314620
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [4]}
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id: 5314622
{'degree': 4, 'field': [100, 0, -26, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [2, 4]}
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id: 5314626
{'degree': 8, 'field': [-3888, 0, 1653, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [6]}
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id: 5314624
{'degree': 8, 'field': [529, 0, -1380, 0, 404, 0, -36, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [8]}
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id: 5314623
{'degree': 8, 'field': [80640400, 0, 650016, 0, -17816, 0, 24, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [2, 4]}
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id: 5314625
{'degree': 8, 'field': [81288256, 0, -1451576, 0, 16905, 0, -161, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [8]}
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id: 5314628
{'degree': 16, 'field': [14641, 0, -64372, 0, 105800, 0, -83064, 0, 34271, 0, -7704, 0, 920, 0, -52, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [2, 8]}
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id: 5314631
{'degree': 16, 'field': [202500, 0, -67500, 0, 5625, 0, -7854624, 0, 651852, 0, -13974, 0, 576, 0, -48, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [12]}
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id: 5314632
{'degree': 16, 'field': [416160000, 0, -31531200, 0, -47148800, 0, -4605420, 0, -901383, 0, -34828, 0, -2226, 0, 0, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [12]}
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id: 5314630
{'degree': 16, 'field': [16748965502500, 0, -3509708805500, 0, 293135474425, 0, -12828554144, 0, 330977692, 0, -5487254, 0, 58816, 0, -368, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [2, 6]}
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id: 5314629
{'degree': 16, 'field': [19522293907216, 0, 1378347638224, 0, 48197148668, 0, 1948083876, 0, 65512853, 0, 1288212, 0, 18467, 0, 172, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [2, 8]}
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id: 5314627
{'degree': 16, 'field': [25401852000625, 0, 0, 0, 51498430204, 0, 0, 0, 27968118, 0, 0, 0, 9052, 0, 0, 0, 1], 'lmfdb_label': '115920.es1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 2851207
{'conductor': 115920, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '115920.es1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2851208
{'conductor': 115920, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '115920.es1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2851209
{'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '115920.es1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 2851210
{'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '115920.es1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 2851211
{'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '115920.es1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2421642
{'adelic_gens': [[296, 15, 87, 224], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [208, 123, 441, 286], [7, 6, 546, 547], [388, 369, 207, 190], [367, 0, 0, 551], [545, 8, 544, 9]], 'adelic_image': '552.48.0.?', 'conductor': 115920, 'lmfdb_label': '115920.es1', 'prime': 0}
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id: 457313
{'conductor': 115920, 'elladic_image': '8.12.0.9', 'lmfdb_label': '115920.es1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 6052382
{'lmfdb_iso': '115920.es', 'p': 13, 'prec': 20, 'unit': 117913233886259065770, 'val': 1}
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id: 6052384
{'lmfdb_iso': '115920.es', 'p': 17, 'prec': 20, 'unit': 163680957476033988614609, 'val': 1}
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id: 6052381
{'lmfdb_iso': '115920.es', 'p': 29, 'prec': 20, 'unit': 5875304908319078961402626325, 'val': 1}
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id: 6052390
{'lmfdb_iso': '115920.es', 'p': 31, 'prec': 20, 'unit': 19611154454880595867130308652, 'val': 1}
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id: 6052378
{'lmfdb_iso': '115920.es', 'p': 37, 'prec': 20, 'unit': 376098999376625880444151863244, 'val': 1}
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id: 6052380
{'lmfdb_iso': '115920.es', 'p': 41, 'prec': 20, 'unit': 3198180786992983868992740192309, 'val': 1}
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id: 6052383
{'lmfdb_iso': '115920.es', 'p': 47, 'prec': 20, 'unit': 35569330135829060807847944946161, 'val': 1}
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id: 6052385
{'lmfdb_iso': '115920.es', 'p': 53, 'prec': 20, 'unit': 487618853242241802808779402540256, 'val': 1}
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id: 6052388
{'lmfdb_iso': '115920.es', 'p': 59, 'prec': 20, 'unit': 2661500506548459807687999477978773, 'val': 1}
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id: 6052389
{'lmfdb_iso': '115920.es', 'p': 61, 'prec': 20, 'unit': 2228530276263724282892784276634425, 'val': 1}
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id: 6052377
{'lmfdb_iso': '115920.es', 'p': 67, 'prec': 20, 'unit': 37128230277315051262010425028240205, 'val': 1}
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id: 6052379
{'lmfdb_iso': '115920.es', 'p': 71, 'prec': 20, 'unit': 37502369374886487896596404796249570, 'val': 1}
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id: 6052386
{'lmfdb_iso': '115920.es', 'p': 73, 'prec': 20, 'unit': 95652701707659933727414321044704599, 'val': 1}
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id: 6052387
{'lmfdb_iso': '115920.es', 'p': 89, 'prec': 20, 'unit': 7347334437921214265521069415881754630, 'val': 1}
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id: 6052376
{'lmfdb_iso': '115920.es', 'p': 97, 'prec': 20, 'unit': 16689758662055080334990189546295221873, 'val': 1}