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ec_curvedata • Show schema
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{'Ciso': '62400z', 'Clabel': '62400z1', 'Cnumber': 1, 'abc_quality': 0.9249444374911281, 'absD': 1022361600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, -1, 0, 23967, 563937], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 62400, 'degree': 294912, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5687922278162256711427519233', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [371694959, 249600], 'lmfdb_iso': '62400.cm', 'lmfdb_label': '62400.cm6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 15, 15], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '24.24.0-8.n.1.3', '40.24.0-8.n.1.6', '48.48.0-48.f.1.17', '78.6.0.?', '80.48.0.?', '104.24.0.?', '120.48.0.?', '156.12.0.?', '208.48.0.?', '240.96.0.?', '312.48.0.?', '520.48.0.?', '624.96.0.?', '1040.96.0.?', '1560.96.0.?', '3120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '7.1265850779573947378511326806', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27564749924074248028347592550', 'prec': 107}, 'szpiro_ratio': 3.7918345538228, '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, 1, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, -1, 0, 0, -4, 1, 6, -4, -8, -6, -8, -10, -6, 4, 0, -10, -4, 2, -12, 16, -2, -16, -12, 10, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 62400, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '62400.cm', 'trace_hash': 1938591185753706389}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.043387475796801026314316231019', 'prec': 107}, 'conductor': 62400, 'gens': [[-13, 500, 1], [787, 22500, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9886877706351904751312854182', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.6609952790323724885614076232', 'prec': 100}], 'lmfdb_label': '62400.cm6', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.30987594930144293359318309047', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.8334292652381815534404257599602411561', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-23, 0, 1]], 'xcoord_integral_points': [-23, -13, 787, 2537, 4073]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 2, 0], '11': [2, 0], '13': [3, 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, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.cm6'}
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ec_torsion_growth • Show schema
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id: 2985632
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [4]}
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id: 2985631
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '62400.cm6', 'torsion': [2, 2]}
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id: 2985633
{'degree': 2, 'field': [390, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [4]}
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id: 2985635
{'degree': 4, 'field': [16, 0, -18, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [8]}
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id: 2985636
{'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [8]}
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id: 2985634
{'degree': 4, 'field': [390, 0, 1, -2, 1], 'lmfdb_label': '62400.cm6', 'torsion': [2, 4]}
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id: 2985641
{'degree': 8, 'field': [-30000, 0, 1750, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [6]}
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id: 2985637
{'degree': 8, 'field': [256, 0, -230, 0, 57, 0, 10, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [2, 4]}
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id: 2985639
{'degree': 8, 'field': [394, 164, 889, -250, 321, 88, -5, -2, 1], 'lmfdb_label': '62400.cm6', 'torsion': [2, 8]}
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id: 2985640
{'degree': 8, 'field': [4966, 3328, 13, 286, 165, -124, -57, -2, 1], 'lmfdb_label': '62400.cm6', 'torsion': [16]}
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id: 2985638
{'degree': 8, 'field': [27556, -13280, 14588, -2696, 1549, -244, 86, -4, 1], 'lmfdb_label': '62400.cm6', 'torsion': [8]}
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id: 2985644
{'degree': 16, 'field': [34600, -271600, 493800, 156400, 147980, 48720, 39640, -10720, 10206, -1516, 2482, -348, 515, -92, 42, -4, 1], 'lmfdb_label': '62400.cm6', 'torsion': [16]}
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id: 2985642
{'degree': 16, 'field': [285156, 0, -76104, 0, 71088, 0, 3444, 0, 8293, 0, 1288, 0, 342, 0, 28, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [4, 4]}
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id: 2985645
{'degree': 16, 'field': [409600, -1638400, 2355200, -1075200, -513280, 375040, 409920, -435200, 105936, 12368, -1668, -3200, 376, 200, -27, -6, 1], 'lmfdb_label': '62400.cm6', 'torsion': [2, 16]}
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id: 2985647
{'degree': 16, 'field': [2560000, 0, -2048000, 0, 409600, 0, 60000, 0, -21600, 0, -2280, 0, 100, 0, -20, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [12]}
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id: 2985643
{'degree': 16, 'field': [48012136, 62471600, 39782008, 8229920, 2027148, 3267920, 456040, -333360, 112846, 60780, -15610, -2640, 1523, -20, -58, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [2, 8]}
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id: 2985646
{'degree': 16, 'field': [914013000, 1025595000, 732105225, 408565350, 168093475, 35913480, 10361385, 4150550, 817611, 160296, 101807, -11022, 645, -488, 27, -6, 1], 'lmfdb_label': '62400.cm6', 'torsion': [2, 6]}
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id: 2985648
{'degree': 16, 'field': [6184578375, 3650814000, -390878700, -868268100, -208131830, 9499620, 19025796, 5318768, 1343352, 294768, 54680, -7500, 606, -356, -24, 0, 1], 'lmfdb_label': '62400.cm6', 'torsion': [12]}
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ec_localdata • Show schema
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id: 1504325
{'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '62400.cm6', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1504326
{'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.cm6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1504327
{'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '62400.cm6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1504328
{'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.cm6', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2077399
{'adelic_gens': [[401, 16, 1370, 1071], [1, 16, 0, 1], [15, 2, 3022, 3107], [2408, 1, 2719, 10], [5, 4, 3116, 3117], [1, 0, 16, 1], [1859, 3104, 2752, 315], [3119, 3104, 780, 779], [3105, 16, 3104, 17], [2096, 5, 3075, 3106]], 'adelic_image': '3120.192.1.?', 'conductor': 62400, 'lmfdb_label': '62400.cm6', 'prime': 0}
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id: 262467
{'conductor': 62400, 'elladic_image': '16.24.0.4', 'lmfdb_label': '62400.cm6', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3173804
{'lmfdb_iso': '62400.cm', 'p': 11, 'prec': 20, 'unit': 34844542791684139264, 'val': 2}
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id: 3173805
{'lmfdb_iso': '62400.cm', 'p': 17, 'prec': 20, 'unit': 140809262151667116154291, 'val': 2}
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id: 3173806
{'lmfdb_iso': '62400.cm', 'p': 19, 'prec': 20, 'unit': 277278961089221011366374, 'val': 2}
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id: 3173809
{'lmfdb_iso': '62400.cm', 'p': 23, 'prec': 20, 'unit': 60017213360921750660838617, 'val': 2}
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id: 3173802
{'lmfdb_iso': '62400.cm', 'p': 29, 'prec': 20, 'unit': 5848814745416556064719344983, 'val': 2}
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id: 3173813
{'lmfdb_iso': '62400.cm', 'p': 31, 'prec': 20, 'unit': 5643327800911159635222015919, 'val': 2}
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id: 3173798
{'lmfdb_iso': '62400.cm', 'p': 37, 'prec': 20, 'unit': 296879424334776436853953533825, 'val': 2}
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id: 3173800
{'lmfdb_iso': '62400.cm', 'p': 41, 'prec': 20, 'unit': 1805404998263221447514777888760, 'val': 2}
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id: 3173801
{'lmfdb_iso': '62400.cm', 'p': 43, 'prec': 20, 'unit': 8878102757057056527227051334725, 'val': 2}
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id: 3173807
{'lmfdb_iso': '62400.cm', 'p': 53, 'prec': 20, 'unit': 461005495801517244881031084235996, 'val': 2}
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id: 3173811
{'lmfdb_iso': '62400.cm', 'p': 59, 'prec': 20, 'unit': 2553976338175725258237517730369752, 'val': 2}
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id: 3173812
{'lmfdb_iso': '62400.cm', 'p': 61, 'prec': 20, 'unit': 3850933472009839631543745438000298, 'val': 2}
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id: 3173797
{'lmfdb_iso': '62400.cm', 'p': 67, 'prec': 20, 'unit': 1891492754313066505921264300011661, 'val': 2}
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id: 3173799
{'lmfdb_iso': '62400.cm', 'p': 71, 'prec': 20, 'unit': 123587753309603282947786867181352384, 'val': 2}
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id: 3173808
{'lmfdb_iso': '62400.cm', 'p': 73, 'prec': 20, 'unit': 99985958297737869888791330814953010, 'val': 2}
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id: 3173803
{'lmfdb_iso': '62400.cm', 'p': 79, 'prec': 20, 'unit': 123903245673663625959018852401530870, 'val': 2}
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id: 3173796
{'lmfdb_iso': '62400.cm', 'p': 83, 'prec': 20, 'unit': 999552965346046100510458026806148557, 'val': 2}
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id: 3173810
{'lmfdb_iso': '62400.cm', 'p': 89, 'prec': 20, 'unit': 2355672926097271387995252471134432030, 'val': 2}
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id: 3173795
{'lmfdb_iso': '62400.cm', 'p': 97, 'prec': 20, 'unit': 12575172804657766124808178821798528742, 'val': 2}