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ec_curvedata • Show schema
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{'Ciso': '8800t', 'Clabel': '8800t1', 'Cnumber': 1, 'abc_quality': 0.8175916232802823, 'absD': 605000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -258, 988], 'analytic_rank': 2, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8800, 'degree': 4608, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38894789211741479560086685454', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [1906624, 605], 'lmfdb_iso': '8800.d', 'lmfdb_label': '8800.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10, -12], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.b.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 21, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.66670659057239417790786210024', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76234465437960804640812887280', 'prec': 107}, 'szpiro_ratio': 3.1132764613699355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, -4, 0, 1, 0, -1, 0, -4, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, -2, 0, -4, -1, -4, -4, 4, 6, -10, -4, -2, -10, -8, -6, -2, 4, -10, -2, 0, -12, -8, 0, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 8800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8800.d', 'trace_hash': 111471687682824035}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.45937161202090084726833854854', 'prec': 103}, 'conductor': 8800, 'gens': [[18, 50, 1], [-7, 50, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73117658450853510040770262732', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.0173732210471191384549542119', 'prec': 100}], 'lmfdb_label': '8800.d2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.5053425720257864412917850673', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0144872553551631773051517565117921235', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[13, 0, 1]], 'xcoord_integral_points': [-12, -7, 2, 4, 13, 18, 57, 68, 189, 418, 7618]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [4, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '8800.d2'}
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ec_torsion_growth • Show schema
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id: 459235
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '8800.d2', 'torsion': [2, 2]}
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id: 459236
{'degree': 4, 'field': [1, -2, -8, -2, 1], 'lmfdb_label': '8800.d2', 'torsion': [4]}
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id: 459239
{'degree': 8, 'field': [-1200, 0, 1280, 0, -120, 0, 0, 0, 1], 'lmfdb_label': '8800.d2', 'torsion': [6]}
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id: 459238
{'degree': 8, 'field': [5, -110, -74, 154, 119, -22, -24, 0, 1], 'lmfdb_label': '8800.d2', 'torsion': [2, 4]}
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id: 459237
{'degree': 8, 'field': [625, 0, -250, 0, 55, 0, 0, 0, 1], 'lmfdb_label': '8800.d2', 'torsion': [2, 4]}
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id: 459240
{'degree': 16, 'field': [18769, 56992, -226496, -291192, 145892, 267920, -60424, -159688, 21270, 47328, -6416, -5176, 684, 176, -8, -8, 1], 'lmfdb_label': '8800.d2', 'torsion': [8]}
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id: 459241
{'degree': 16, 'field': [131769, 0, 1184832, 0, -133100, 0, 46464, 0, -210, 0, 576, 0, -252, 0, 0, 0, 1], 'lmfdb_label': '8800.d2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 183948
{'conductor': 8800, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '8800.d2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 183949
{'conductor': 8800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '8800.d2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 183950
{'conductor': 8800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8800.d2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1722147
{'adelic_gens': [[134, 1, 43, 0], [1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [169, 56, 164, 55], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 8800, 'lmfdb_label': '8800.d2', 'prime': 0}
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id: 42967
{'conductor': 8800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8800.d2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 365417
{'lmfdb_iso': '8800.d', 'p': 7, 'prec': 20, 'unit': 15616241752847, 'val': 4}
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id: 365421
{'lmfdb_iso': '8800.d', 'p': 13, 'prec': 20, 'unit': 514200440366101109750, 'val': 2}
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id: 365423
{'lmfdb_iso': '8800.d', 'p': 17, 'prec': 20, 'unit': 175639480914155717685606, 'val': 2}
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id: 365424
{'lmfdb_iso': '8800.d', 'p': 19, 'prec': 20, 'unit': 1203791467734532510944275, 'val': 2}
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id: 365428
{'lmfdb_iso': '8800.d', 'p': 23, 'prec': 20, 'unit': 72414122856655109876375890, 'val': 2}
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id: 365420
{'lmfdb_iso': '8800.d', 'p': 29, 'prec': 20, 'unit': 1306742574262411307470093916, 'val': 2}
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id: 365432
{'lmfdb_iso': '8800.d', 'p': 31, 'prec': 20, 'unit': 8923630842390692064785720529, 'val': 2}
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id: 365416
{'lmfdb_iso': '8800.d', 'p': 37, 'prec': 20, 'unit': 186178431386777672523975632064, 'val': 2}
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id: 365418
{'lmfdb_iso': '8800.d', 'p': 41, 'prec': 20, 'unit': 1726823335178999880909402698478, 'val': 2}
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id: 365419
{'lmfdb_iso': '8800.d', 'p': 43, 'prec': 20, 'unit': 2817997971391487454519769715424, 'val': 2}
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id: 365430
{'lmfdb_iso': '8800.d', 'p': 47, 'prec': 20, 'unit': 15521676594332411495666177648249, 'val': 2}
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id: 365425
{'lmfdb_iso': '8800.d', 'p': 53, 'prec': 20, 'unit': 502544408535999723721850033225241, 'val': 2}
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id: 365426
{'lmfdb_iso': '8800.d', 'p': 59, 'prec': 20, 'unit': 2348233944429702002650157569546514, 'val': 2}
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id: 365431
{'lmfdb_iso': '8800.d', 'p': 61, 'prec': 20, 'unit': 637918129877029946935178243693017, 'val': 2}
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id: 365415
{'lmfdb_iso': '8800.d', 'p': 67, 'prec': 20, 'unit': 18999008392213054772122982050929956, 'val': 2}
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id: 365427
{'lmfdb_iso': '8800.d', 'p': 73, 'prec': 20, 'unit': 74405014218801220624153252374841373, 'val': 2}
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id: 365422
{'lmfdb_iso': '8800.d', 'p': 79, 'prec': 20, 'unit': 957640166878824170827225941948142151, 'val': 2}
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id: 365429
{'lmfdb_iso': '8800.d', 'p': 89, 'prec': 20, 'unit': 5789274724767898436036572886711158433, 'val': 2}
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id: 365414
{'lmfdb_iso': '8800.d', 'p': 97, 'prec': 20, 'unit': 11138289505475627164739869939451187859, 'val': 2}