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ec_curvedata • Show schema
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{'Ciso': '22080bj', 'Clabel': '22080bj4', 'Cnumber': 4, 'abc_quality': 0.9066474358545433, 'absD': 152616960000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [0, 1, 0, -4225, 102623], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22080, 'degree': 24576, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94080362008401044598584158412', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 66, 'isogeny_degrees': [1, 2, 4], 'jinv': [63649751618, 1164375], 'lmfdb_iso': '22080.co', 'lmfdb_label': '22080.co1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1056, 13356], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '120.24.0.?', '184.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5878894110673398169719960411', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.041154885709245409021903921279', 'prec': 110}, 'szpiro_ratio': 3.6651266232840576, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, -4, 0, -2, 0, 1, 0, 2, 0, 0, 0], 'aplist': [0, 1, 1, 0, -4, -2, 2, 0, -1, 6, 0, 6, 2, -12, 0, -10, 12, 6, -12, -12, 2, 16, -16, 14, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 22080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '22080.co', 'trace_hash': 1143020503821527603}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.15234505379110212290418362501', 'prec': 103}, 'conductor': 22080, 'gens': [[43, 48, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5878894110673398169719960411', 'prec': 100}], 'lmfdb_label': '22080.co1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0279493962773672089797049810', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5290798458475845371971575590490432606', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[11, 240, 1]], 'xcoord_integral_points': [-19, 11, 26, 41, 43, 491]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': [2, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 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': '22080.co1'}
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ec_torsion_growth • Show schema
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id: 1122903
{'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '22080.co1', 'torsion': [2, 4]}
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id: 1122904
{'degree': 4, 'field': [46, 0, -8, 0, 1], 'lmfdb_label': '22080.co1', 'torsion': [8]}
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id: 1122906
{'degree': 8, 'field': [-120, 600, 46, -1240, 491, 152, -46, -4, 1], 'lmfdb_label': '22080.co1', 'torsion': [2, 8]}
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id: 1122908
{'degree': 8, 'field': [-3, 0, 38, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '22080.co1', 'torsion': [12]}
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id: 1122905
{'degree': 8, 'field': [2025, 0, 556, 0, -86, 0, 4, 0, 1], 'lmfdb_label': '22080.co1', 'torsion': [4, 4]}
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id: 1122907
{'degree': 8, 'field': [99225, 37800, 19200, -3600, 1006, -120, -32, 0, 1], 'lmfdb_label': '22080.co1', 'torsion': [2, 8]}
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id: 1122909
{'degree': 16, 'field': [4477456, 0, -3114752, 0, 2217568, 0, -981824, 0, 211600, 0, -21344, 0, 1048, 0, -32, 0, 1], 'lmfdb_label': '22080.co1', 'torsion': [16]}
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id: 1122910
{'degree': 16, 'field': [23357889, 0, -13900140, 0, 2027412, 0, -352080, 0, 22110, 0, 19580, 0, -1392, 0, 0, 0, 1], 'lmfdb_label': '22080.co1', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 504267
{'conductor': 22080, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '22080.co1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 504268
{'conductor': 22080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22080.co1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 504269
{'conductor': 22080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22080.co1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 504270
{'conductor': 22080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22080.co1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1811764
{'adelic_gens': [[2416, 1043, 2419, 2448], [1841, 8, 1844, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1657, 8, 1108, 33], [1, 4, 4, 17], [1328, 3, 485, 2], [7, 6, 2754, 2755], [2753, 8, 2752, 9], [1032, 2407, 1733, 1746]], 'adelic_image': '2760.48.0.?', 'conductor': 22080, 'lmfdb_label': '22080.co1', 'prime': 0}
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id: 102280
{'conductor': 22080, 'elladic_image': '4.12.0.7', 'lmfdb_label': '22080.co1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1038577
{'lmfdb_iso': '22080.co', 'p': 11, 'prec': 20, 'unit': 59113325393161830599, 'val': 1}
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id: 1038583
{'lmfdb_iso': '22080.co', 'p': 13, 'prec': 20, 'unit': 923227189624864278756, 'val': 1}
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id: 1038585
{'lmfdb_iso': '22080.co', 'p': 17, 'prec': 20, 'unit': 88849583154349892088277, 'val': 1}
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id: 1038582
{'lmfdb_iso': '22080.co', 'p': 29, 'prec': 20, 'unit': 3193397521391197829819759044, 'val': 1}
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id: 1038578
{'lmfdb_iso': '22080.co', 'p': 37, 'prec': 20, 'unit': 112708825250556230400624212313, 'val': 1}
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id: 1038580
{'lmfdb_iso': '22080.co', 'p': 41, 'prec': 20, 'unit': 946928764347256730113843766294, 'val': 1}
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id: 1038581
{'lmfdb_iso': '22080.co', 'p': 43, 'prec': 20, 'unit': 1399258890739286130459871378478, 'val': 1}
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id: 1038587
{'lmfdb_iso': '22080.co', 'p': 53, 'prec': 20, 'unit': 454962658663436165351083205492062, 'val': 1}
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id: 1038590
{'lmfdb_iso': '22080.co', 'p': 59, 'prec': 20, 'unit': 3320504732126219290671381932707930, 'val': 1}
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id: 1038591
{'lmfdb_iso': '22080.co', 'p': 61, 'prec': 20, 'unit': 360492951307170296070969451021452, 'val': 1}
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id: 1038576
{'lmfdb_iso': '22080.co', 'p': 67, 'prec': 20, 'unit': 38477741170955203560308488949913600, 'val': 1}
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id: 1038579
{'lmfdb_iso': '22080.co', 'p': 71, 'prec': 20, 'unit': 92288556785126314495655507416652526, 'val': 1}
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id: 1038588
{'lmfdb_iso': '22080.co', 'p': 73, 'prec': 20, 'unit': 51210004486219208451778632017954686, 'val': 1}
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id: 1038584
{'lmfdb_iso': '22080.co', 'p': 79, 'prec': 20, 'unit': 4842996124800313180497027205801574, 'val': 2}
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id: 1038586
{'lmfdb_iso': '22080.co', 'p': 83, 'prec': 20, 'unit': 1989216213649772958722635955826613108, 'val': 1}
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id: 1038589
{'lmfdb_iso': '22080.co', 'p': 89, 'prec': 20, 'unit': 6362145256332695813152526960724718374, 'val': 1}
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id: 1038575
{'lmfdb_iso': '22080.co', 'p': 97, 'prec': 20, 'unit': 12900008829119238173985783770256741532, 'val': 1}