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ec_curvedata • Show schema
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{'Ciso': '87360ev', 'Clabel': '87360ev2', 'Cnumber': 2, 'abc_quality': 0.975431873385505, 'absD': 1687227471485337600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10920, 'ainvs': [0, -1, 0, 272895, 29822625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 87360, 'degree': 1204224, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1856538698621510022051273201', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2], 'jinv': [17147425715207422, 12872524043925], 'lmfdb_iso': '87360.cg', 'lmfdb_label': '87360.cg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 68224, -3761940], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '420.6.0.?', '10920.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9903435226797722198678773416', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2036953640688951471973818147', 'prec': 100}, 'szpiro_ratio': 4.3210601059360885, '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, 1, 0, -1, 0, 1, 0, 2, 0, -1, 0, -1, 0, -2, 0, -6, 0], 'aplist': [0, -1, 1, -1, 2, -1, -2, -6, 4, 8, -8, -2, 6, -4, -4, -6, 0, 12, -6, -12, -6, 0, 6, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 87360, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '87360.cg', 'trace_hash': 936873992792465460}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.012634706851408123956219155334', 'prec': 107}, 'conductor': 87360, 'gens': [[581, 19600, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9903435226797722198678773416', 'prec': 100}], 'lmfdb_label': '87360.cg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16993284469214663865414487081', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4247234088628404071398843329230477298', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-105, 0, 1]], 'xcoord_integral_points': [-105, 581]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '87360.cg2'}
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ec_torsion_growth • Show schema
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id: 4094800
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '87360.cg2', 'torsion': [2, 2]}
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id: 4094801
{'degree': 4, 'field': [-104, 0, 2, 0, 1], 'lmfdb_label': '87360.cg2', 'torsion': [4]}
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id: 4094804
{'degree': 8, 'field': [-3888, 0, -288, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '87360.cg2', 'torsion': [6]}
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id: 4094803
{'degree': 8, 'field': [38073, -20488, 15736, -4160, 1126, -312, 24, 0, 1], 'lmfdb_label': '87360.cg2', 'torsion': [2, 4]}
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id: 4094802
{'degree': 8, 'field': [422020, -209040, 61896, -5616, -16, -312, 36, 0, 1], 'lmfdb_label': '87360.cg2', 'torsion': [2, 4]}
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id: 4094806
{'degree': 16, 'field': [9024016, 0, 35038912, 0, 7706368, 0, 708144, 0, 99720, 0, 17304, 0, 1108, 0, 52, 0, 1], 'lmfdb_label': '87360.cg2', 'torsion': [2, 6]}
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id: 4094805
{'degree': 16, 'field': [101939718400, 0, 325307424000, 0, -10030445360, 0, 155422800, 0, -22686444, 0, -187344, 0, 13696, 0, -204, 0, 1], 'lmfdb_label': '87360.cg2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 2134762
{'conductor': 87360, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '87360.cg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2134763
{'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '87360.cg2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2134764
{'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '87360.cg2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 2134765
{'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '87360.cg2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2134766
{'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '87360.cg2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2239450
{'adelic_gens': [[1, 2, 2, 5], [8402, 1, 6719, 0], [1, 4, 0, 1], [3641, 4, 7282, 9], [7801, 4, 4682, 9], [2, 1, 5459, 0], [8737, 4, 6554, 9], [9556, 1369, 6825, 4096], [1, 0, 4, 1], [3, 4, 8, 11], [10917, 4, 10916, 5]], 'adelic_image': '10920.12.0.?', 'conductor': 87360, 'lmfdb_label': '87360.cg2', 'prime': 0}
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id: 355798
{'conductor': 87360, 'elladic_image': '2.3.0.1', 'lmfdb_label': '87360.cg2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 4517585
{'lmfdb_iso': '87360.cg', 'p': 11, 'prec': 20, 'unit': 18908907386399326935, 'val': 1}
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id: 4517586
{'lmfdb_iso': '87360.cg', 'p': 17, 'prec': 20, 'unit': 62519015685971082970477, 'val': 1}
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id: 4517587
{'lmfdb_iso': '87360.cg', 'p': 19, 'prec': 20, 'unit': 101466339841467642668374, 'val': 1}
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id: 4517590
{'lmfdb_iso': '87360.cg', 'p': 23, 'prec': 20, 'unit': 6215461007713427167905322, 'val': 1}
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id: 4517583
{'lmfdb_iso': '87360.cg', 'p': 29, 'prec': 20, 'unit': 3742389284692359048456083707, 'val': 1}
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id: 4517593
{'lmfdb_iso': '87360.cg', 'p': 31, 'prec': 20, 'unit': 13988584439274421483886221222, 'val': 1}
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id: 4517579
{'lmfdb_iso': '87360.cg', 'p': 37, 'prec': 20, 'unit': 604419270438826121837494936774, 'val': 1}
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id: 4517581
{'lmfdb_iso': '87360.cg', 'p': 41, 'prec': 20, 'unit': 2602256145501020137564694596538, 'val': 1}
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id: 4517582
{'lmfdb_iso': '87360.cg', 'p': 43, 'prec': 20, 'unit': 1984530505945781278075861959059, 'val': 1}
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id: 4517584
{'lmfdb_iso': '87360.cg', 'p': 47, 'prec': 20, 'unit': 8529748550862591341178025439711, 'val': 1}
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id: 4517588
{'lmfdb_iso': '87360.cg', 'p': 53, 'prec': 20, 'unit': 120593789168142592103865049548376, 'val': 1}
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id: 4517592
{'lmfdb_iso': '87360.cg', 'p': 61, 'prec': 20, 'unit': 3557152587915614894004193277744262, 'val': 1}
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id: 4517578
{'lmfdb_iso': '87360.cg', 'p': 67, 'prec': 20, 'unit': 46389785738201083803327859453112351, 'val': 1}
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id: 4517580
{'lmfdb_iso': '87360.cg', 'p': 71, 'prec': 20, 'unit': 63034762058384761722448192926943888, 'val': 1}
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id: 4517589
{'lmfdb_iso': '87360.cg', 'p': 73, 'prec': 20, 'unit': 216622497367028117614077019162451150, 'val': 1}
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id: 4517577
{'lmfdb_iso': '87360.cg', 'p': 83, 'prec': 20, 'unit': 2471706553326940826130996288065604698, 'val': 1}
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id: 4517591
{'lmfdb_iso': '87360.cg', 'p': 89, 'prec': 20, 'unit': 7743300382531961165331411269547123224, 'val': 1}
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id: 4517576
{'lmfdb_iso': '87360.cg', 'p': 97, 'prec': 20, 'unit': 28907104967192791121424512086915661597, 'val': 1}