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ec_curvedata • Show schema
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{'Ciso': '4560bd', 'Clabel': '4560bd3', 'Cnumber': 3, 'abc_quality': 0.9810006384698988, 'absD': 171000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 1, 0, -19800, -875052], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 18432, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4472860353867993088495482824', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [209595169258201, 41748046875], 'lmfdb_iso': '4560.w', 'lmfdb_label': '4560.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1237, 13054], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.z.1.12', '76.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85351992878046411382019336453', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75413885482685399943231616094', 'prec': 103}, 'szpiro_ratio': 4.901315532655469, '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, -4, 0, 1, 0, -4, 0, 2, 0, 1, 0, 2, 0, 1, 0], 'aplist': [0, 1, 1, -4, -4, 2, 2, 1, 4, -2, 0, -6, -6, -8, 12, -14, -4, 14, 4, 0, -14, -16, 0, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4560.w', 'trace_hash': 837783030744650886}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.055322694227716601948081676887', 'prec': 107}, 'conductor': 4560, 'gens': [[-84, 450, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.85351992878046411382019336453', 'prec': 103}], 'lmfdb_label': '4560.w2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40807258667224291652222365201', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1795770213650305212802935111334701082', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-109, 0, 1]], 'xcoord_integral_points': [-109, -84, 516]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4560.w2'}
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ec_torsion_growth • Show schema
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id: 238308
{'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [2, 2]}
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id: 238310
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [4]}
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id: 238309
{'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '4560.w2', 'torsion': [4]}
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id: 238312
{'degree': 4, 'field': [-171, 0, 0, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [2, 4]}
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id: 238311
{'degree': 4, 'field': [25, 0, -9, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [2, 4]}
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id: 238316
{'degree': 8, 'field': [-147, 0, -163, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [6]}
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id: 238315
{'degree': 8, 'field': [961, 682, 242, -246, 134, 6, 2, -2, 1], 'lmfdb_label': '4560.w2', 'torsion': [8]}
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id: 238313
{'degree': 8, 'field': [28900, 0, 2056, 0, -336, 0, 4, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [4, 4]}
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id: 238314
{'degree': 8, 'field': [144400, 0, 14440, 0, -304, 0, -38, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [8]}
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id: 238322
{'degree': 16, 'field': [169, 0, -259, 0, 436, 0, -219, 0, -39, 0, 51, 0, -17, 0, 2, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [12]}
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id: 238320
{'degree': 16, 'field': [149769, 0, -330804, 0, 413856, 0, -208549, 0, 45416, 0, -6139, 0, 613, 0, -38, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [2, 6]}
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id: 238321
{'degree': 16, 'field': [275625, 0, -108333, 0, 76663, 0, -14958, 0, 5763, 0, -534, 0, 138, 0, 0, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [12]}
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id: 238317
{'degree': 16, 'field': [2343961, -4295986, 3936818, -2599120, 1029774, -133978, -42984, 39878, -10505, -2906, 1464, -266, -66, 40, 2, -2, 1], 'lmfdb_label': '4560.w2', 'torsion': [2, 8]}
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id: 238318
{'degree': 16, 'field': [81450625, 0, 0, 0, 4629825, 0, 0, 0, 92416, 0, 0, 0, 513, 0, 0, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [2, 8]}
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id: 238319
{'degree': 16, 'field': [191850201, 0, 0, 0, -18948168, 0, 0, 0, 261459, 0, 0, 0, -1368, 0, 0, 0, 1], 'lmfdb_label': '4560.w2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 87168
{'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '4560.w2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 87169
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.w2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 87170
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '4560.w2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 87171
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.w2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1693709
{'adelic_gens': [[1, 0, 8, 1], [753, 8, 752, 9], [457, 8, 308, 33], [7, 6, 754, 755], [99, 98, 298, 675], [472, 87, 447, 400], [84, 1, 103, 6], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '760.48.0.?', 'conductor': 4560, 'lmfdb_label': '4560.w2', 'prime': 0}
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id: 22700
{'conductor': 4560, 'elladic_image': '4.12.0.8', 'lmfdb_label': '4560.w2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 164333
{'lmfdb_iso': '4560.w', 'p': 7, 'prec': 20, 'unit': 4907117923867463, 'val': 1}
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id: 164331
{'lmfdb_iso': '4560.w', 'p': 11, 'prec': 20, 'unit': 5510842613807474773, 'val': 1}
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id: 164337
{'lmfdb_iso': '4560.w', 'p': 13, 'prec': 20, 'unit': 836393831055301168398, 'val': 1}
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id: 164339
{'lmfdb_iso': '4560.w', 'p': 17, 'prec': 20, 'unit': 58950458427014630671754, 'val': 1}
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id: 164344
{'lmfdb_iso': '4560.w', 'p': 23, 'prec': 20, 'unit': 46625110565406426731218312, 'val': 1}
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id: 164336
{'lmfdb_iso': '4560.w', 'p': 29, 'prec': 20, 'unit': 4613013535063145023011250346, 'val': 1}
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id: 164332
{'lmfdb_iso': '4560.w', 'p': 37, 'prec': 20, 'unit': 440812269812118616430446957671, 'val': 1}
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id: 164334
{'lmfdb_iso': '4560.w', 'p': 41, 'prec': 20, 'unit': 1078161947818976744129127678359, 'val': 1}
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id: 164335
{'lmfdb_iso': '4560.w', 'p': 43, 'prec': 20, 'unit': 500130516978313236800315490513, 'val': 1}
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id: 164346
{'lmfdb_iso': '4560.w', 'p': 47, 'prec': 20, 'unit': 1579539631319096273951582654035, 'val': 1}
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id: 164341
{'lmfdb_iso': '4560.w', 'p': 53, 'prec': 20, 'unit': 457332617184166741004930000881743, 'val': 1}
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id: 164342
{'lmfdb_iso': '4560.w', 'p': 59, 'prec': 20, 'unit': 1095929321968385393898997384175288, 'val': 1}
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id: 164347
{'lmfdb_iso': '4560.w', 'p': 61, 'prec': 20, 'unit': 100980023806603366208468679661910, 'val': 1}
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id: 164340
{'lmfdb_iso': '4560.w', 'p': 67, 'prec': 20, 'unit': 38953652214652852400945221266597893, 'val': 1}
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id: 164343
{'lmfdb_iso': '4560.w', 'p': 73, 'prec': 20, 'unit': 192331965680599296087794244477987205, 'val': 1}
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id: 164338
{'lmfdb_iso': '4560.w', 'p': 79, 'prec': 20, 'unit': 560077261108627607490869793076131580, 'val': 1}
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id: 164345
{'lmfdb_iso': '4560.w', 'p': 89, 'prec': 20, 'unit': 2525031413602421130744263256805033187, 'val': 1}
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id: 164330
{'lmfdb_iso': '4560.w', 'p': 97, 'prec': 20, 'unit': 51782364531250054179892023643237724058, 'val': 1}