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ec_curvedata • Show schema
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{'Ciso': '27600ch', 'Clabel': '27600ch6', 'Cnumber': 6, 'abc_quality': 1.0152769300892501, 'absD': 18794636467440000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 1, 0, -10332008, 10946135988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 27600, 'degree': 1769472, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9974567974094891867943537979', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1905890658841300321, 293666194803750], 'lmfdb_iso': '27600.cn', 'lmfdb_label': '27600.cn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25830, -1370850], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '20.12.0-4.c.1.2', '24.48.0.bl.2', '40.48.0-8.bb.2.4', '120.96.0.?', '368.48.0.?', '1104.96.1.?', '1840.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.0087489983427591277935163825', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4995906606324936900767420098', 'prec': 100}, 'szpiro_ratio': 5.874085119379873, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -4, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 1, 0, 0, -4, 2, 6, -4, -1, -2, 0, 2, 10, -4, 0, -6, 4, -10, -12, 8, -10, 8, -4, 18, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 27600, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '27600.cn', 'trace_hash': 1729731032086622496}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0024913922335542013502103698119', 'prec': 110}, 'conductor': 27600, 'gens': [[42102, 17835000, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '7.0087489983427591277935163825', 'prec': 100}], 'lmfdb_label': '27600.cn2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11713111128111520145272531906', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5675404709303233763564566248324556467', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2403, 0, 1]], 'xcoord_integral_points': [2403]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '27600.cn2'}
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ec_torsion_growth • Show schema
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id: 1381457
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [4]}
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id: 1381455
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [2, 2]}
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id: 1381456
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '27600.cn2', 'torsion': [4]}
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id: 1381459
{'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '27600.cn2', 'torsion': [8]}
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id: 1381460
{'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [8]}
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id: 1381458
{'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '27600.cn2', 'torsion': [2, 4]}
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id: 1381464
{'degree': 8, 'field': [-21675, 0, 1880, 0, -510, 0, 0, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [6]}
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id: 1381463
{'degree': 8, 'field': [1, 0, -12, 0, 23, 0, -12, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [2, 8]}
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id: 1381462
{'degree': 8, 'field': [81, 0, -108, 0, 204, 0, -12, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [8]}
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id: 1381461
{'degree': 8, 'field': [2025, 0, -540, 0, 156, 0, -12, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [2, 4]}
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id: 1381465
{'degree': 16, 'field': [25, 0, 8940, 0, 8206, 0, -1728, 0, 399, 0, 216, 0, 34, 0, 12, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [4, 4]}
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id: 1381467
{'degree': 16, 'field': [6241, 0, -8916, 0, 7318, 0, -2304, 0, 423, 0, 72, 0, 82, 0, 12, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [2, 8]}
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id: 1381469
{'degree': 16, 'field': [68231, -140736, 212344, -130392, 36044, 27136, 3372, -10024, 3257, -2752, 2592, -864, -38, 56, 12, -8, 1], 'lmfdb_label': '27600.cn2', 'torsion': [16]}
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id: 1381466
{'degree': 16, 'field': [383161, 0, 667000, 0, 416500, 0, 176680, 0, 43738, 0, 7000, 0, 700, 0, 40, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [2, 8]}
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id: 1381468
{'degree': 16, 'field': [1292401, 4009016, 346130, -6605928, -1479448, 4453732, 496678, -1386864, -20255, 210804, -9614, -16120, 1352, 588, -64, -8, 1], 'lmfdb_label': '27600.cn2', 'torsion': [16]}
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id: 1381471
{'degree': 16, 'field': [6186025, -12151750, 15617750, -4466610, -3427240, 5407960, 433516, -1769898, 251125, 139560, -39572, 5918, -592, -210, 50, -8, 1], 'lmfdb_label': '27600.cn2', 'torsion': [12]}
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id: 1381470
{'degree': 16, 'field': [23707161, 0, -31640652, 0, 11110428, 0, 55836, 0, -127890, 0, -6564, 0, 108, 0, -12, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [2, 6]}
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id: 1381472
{'degree': 16, 'field': [24532209, 0, -146445348, 0, 14946520, 0, 921144, 0, -1765230, 0, -102284, 0, -4692, 0, 0, 0, 1], 'lmfdb_label': '27600.cn2', 'torsion': [12]}
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ec_localdata • Show schema
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id: 637180
{'conductor': 27600, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '27600.cn2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 637181
{'conductor': 27600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '27600.cn2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 637182
{'conductor': 27600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '27600.cn2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 637183
{'conductor': 27600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '27600.cn2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1848008
{'adelic_gens': [[1234, 3035, 3095, 3854], [1, 16, 0, 1], [1396, 2485, 1815, 1666], [1856, 5, 5475, 5506], [1, 0, 16, 1], [15, 2, 5422, 5507], [1201, 1120, 1880, 3441], [5, 4, 5516, 5517], [5505, 16, 5504, 17], [1103, 0, 0, 5519]], 'adelic_image': '5520.192.1.?', 'conductor': 27600, 'lmfdb_label': '27600.cn2', 'prime': 0}
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id: 124823
{'conductor': 27600, 'elladic_image': '8.24.0.90', 'lmfdb_label': '27600.cn2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1322112
{'lmfdb_iso': '27600.cn', 'p': 11, 'prec': 20, 'unit': 14384651538032911154, 'val': 1}
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id: 1322110
{'lmfdb_iso': '27600.cn', 'p': 13, 'prec': 20, 'unit': 618375727796449415317, 'val': 1}
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id: 1322113
{'lmfdb_iso': '27600.cn', 'p': 17, 'prec': 20, 'unit': 95633181422227028697590, 'val': 1}
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id: 1322114
{'lmfdb_iso': '27600.cn', 'p': 19, 'prec': 20, 'unit': 994063509380714512214117, 'val': 1}
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id: 1322109
{'lmfdb_iso': '27600.cn', 'p': 29, 'prec': 20, 'unit': 1246621037520922731254433479, 'val': 1}
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id: 1322105
{'lmfdb_iso': '27600.cn', 'p': 37, 'prec': 20, 'unit': 471424752043236525055300656044, 'val': 1}
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id: 1322107
{'lmfdb_iso': '27600.cn', 'p': 41, 'prec': 20, 'unit': 1659634701667282488964964416933, 'val': 1}
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id: 1322108
{'lmfdb_iso': '27600.cn', 'p': 43, 'prec': 20, 'unit': 3540240829218698639844423877463, 'val': 1}
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id: 1322115
{'lmfdb_iso': '27600.cn', 'p': 53, 'prec': 20, 'unit': 178492128850090256515493042553121, 'val': 1}
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id: 1322118
{'lmfdb_iso': '27600.cn', 'p': 59, 'prec': 20, 'unit': 1228791019093721877041087932260335, 'val': 1}
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id: 1322119
{'lmfdb_iso': '27600.cn', 'p': 61, 'prec': 20, 'unit': 6560044108101152165216238589802514, 'val': 1}
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id: 1322104
{'lmfdb_iso': '27600.cn', 'p': 67, 'prec': 20, 'unit': 19793589078716066980996869103411483, 'val': 1}
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id: 1322106
{'lmfdb_iso': '27600.cn', 'p': 71, 'prec': 20, 'unit': 26888278065815728519384800574617612, 'val': 1}
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id: 1322116
{'lmfdb_iso': '27600.cn', 'p': 73, 'prec': 20, 'unit': 4493292177364541297274050619144690, 'val': 1}
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id: 1322111
{'lmfdb_iso': '27600.cn', 'p': 79, 'prec': 20, 'unit': 1031784150343518233748708088284813330, 'val': 1}
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id: 1322103
{'lmfdb_iso': '27600.cn', 'p': 83, 'prec': 20, 'unit': 981251144641881755135805759163638564, 'val': 1}
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id: 1322117
{'lmfdb_iso': '27600.cn', 'p': 89, 'prec': 20, 'unit': 7774420469548603038666551638376771020, 'val': 1}
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id: 1322102
{'lmfdb_iso': '27600.cn', 'p': 97, 'prec': 20, 'unit': 14714356337774967483258178023025236372, 'val': 1}