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ec_curvedata • Show schema
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{'Ciso': '13230dy', 'Clabel': '13230dy2', 'Cnumber': 2, 'abc_quality': 1.055818861759989, 'absD': 9262741068000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 840, 'ainvs': [1, -1, 1, -70202, 7178329], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 13230, 'degree': 64800, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4768885088258005261466885818', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 102, 'isogeny_degrees': [1, 3], 'jinv': [-16522921323, 4000], 'lmfdb_iso': '13230.dy', 'lmfdb_label': '13230.dy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -159, 813], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '120.8.0.?', '840.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.12116695362746887342087901258', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32002578220293839495242171761', 'prec': 107}, 'szpiro_ratio': 4.751343847307267, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 3, 0, -5, 0, 0, 1, 3, 0, 4, 1], 'aplist': [1, 0, 1, 0, 3, -5, 3, 4, -9, -3, -5, -10, 0, -1, -9, -12, -12, -2, -4, 12, 10, -13, -6, 12, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 13230, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '13230.dy', 'trace_hash': 103634575491332710}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.052142390821117434820459760707', 'prec': 107}, 'conductor': 13230, 'gens': [[247, 2081, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.12116695362746887342087901258', 'prec': 103}], 'lmfdb_label': '13230.dy1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71112274946006046779773530742', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7548119486538781291821513524119444587', 'prec': 130}, 'tamagawa_product': 90, 'torsion_generators': [], 'xcoord_integral_points': [67, 83, 149, 157, 247]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': 'a', '5': [2, 0], '7': 'a', '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, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '13230.dy1'}
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ec_torsion_growth • Show schema
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id: 682560
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '13230.dy1', 'torsion': [3]}
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id: 682561
{'degree': 3, 'field': [-6, 3, 0, 1], 'lmfdb_label': '13230.dy1', 'torsion': [2]}
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id: 682564
{'degree': 6, 'field': [-185, -321, 96, 5, -6, -3, 1], 'lmfdb_label': '13230.dy1', 'torsion': [6]}
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id: 682562
{'degree': 6, 'field': [30, 0, 21, 0, 12, 0, 1], 'lmfdb_label': '13230.dy1', 'torsion': [2, 2]}
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id: 682563
{'degree': 6, 'field': [32, 0, 0, -10, 0, 0, 1], 'lmfdb_label': '13230.dy1', 'torsion': [3]}
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id: 682565
{'degree': 12, 'field': [-14345418, 9281538, -5290839, 2158128, -918033, 318528, -79908, 13608, -1518, -42, -45, 0, 1], 'lmfdb_label': '13230.dy1', 'torsion': [4]}
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id: 682566
{'degree': 12, 'field': [43, -24, -33, 76, -48, 48, 131, -12, 84, -4, 15, 0, 1], 'lmfdb_label': '13230.dy1', 'torsion': [3, 3]}
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id: 682567
{'degree': 12, 'field': [1600, 0, 1800, 0, 5601, 0, 4670, 0, 243, 0, 30, 0, 1], 'lmfdb_label': '13230.dy1', 'torsion': [2, 6]}
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id: 682569
{'degree': 18, 'field': [1052, -3768, 1692, 4934, 642, -8400, 3278, -3336, 7602, -3329, 3741, -1764, 1246, -510, 246, -64, 24, -3, 1], 'lmfdb_label': '13230.dy1', 'torsion': [6]}
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id: 682568
{'degree': 18, 'field': [15625, 46875, -548625, 1562385, -2250135, 1668315, -141621, -954822, 913923, -343280, -3360, 48108, -14364, 621, 375, -135, 48, -9, 1], 'lmfdb_label': '13230.dy1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 288428
{'conductor': 13230, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '13230.dy1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 288429
{'conductor': 13230, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '13230.dy1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 288430
{'conductor': 13230, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '13230.dy1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 288431
{'conductor': 13230, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13230.dy1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1751853
{'adelic_gens': [[4, 3, 9, 7], [835, 6, 834, 7], [594, 119, 77, 426], [421, 126, 63, 379], [599, 0, 0, 839], [631, 126, 0, 1], [337, 126, 651, 379], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '840.16.0.?', 'conductor': 13230, 'lmfdb_label': '13230.dy1', 'prime': 0}
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id: 62795
{'conductor': 13230, 'elladic_image': '3.4.0.1', 'lmfdb_label': '13230.dy1', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 583263
{'lmfdb_iso': '13230.dy', 'p': 11, 'prec': 20, 'unit': 12653131282926853691, 'val': 1}
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id: 583269
{'lmfdb_iso': '13230.dy', 'p': 13, 'prec': 20, 'unit': 362633093095399116351, 'val': 1}
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id: 583271
{'lmfdb_iso': '13230.dy', 'p': 17, 'prec': 20, 'unit': 147357714702553148643798, 'val': 1}
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id: 583272
{'lmfdb_iso': '13230.dy', 'p': 19, 'prec': 20, 'unit': 652970362331116352116737, 'val': 1}
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id: 583275
{'lmfdb_iso': '13230.dy', 'p': 23, 'prec': 20, 'unit': 40785101032381338067672931, 'val': 1}
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id: 583268
{'lmfdb_iso': '13230.dy', 'p': 29, 'prec': 20, 'unit': 5088561570698186197171487961, 'val': 1}
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id: 583280
{'lmfdb_iso': '13230.dy', 'p': 31, 'prec': 20, 'unit': 5025649342605976852144716345, 'val': 1}
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id: 583264
{'lmfdb_iso': '13230.dy', 'p': 37, 'prec': 20, 'unit': 278593709239951172116853420667, 'val': 1}
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id: 583267
{'lmfdb_iso': '13230.dy', 'p': 43, 'prec': 20, 'unit': 9041993407360586190927183297269, 'val': 1}
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id: 583278
{'lmfdb_iso': '13230.dy', 'p': 47, 'prec': 20, 'unit': 43428009931074193583585516967128, 'val': 1}
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id: 583273
{'lmfdb_iso': '13230.dy', 'p': 53, 'prec': 20, 'unit': 563960753737718464454721863195375, 'val': 1}
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id: 583274
{'lmfdb_iso': '13230.dy', 'p': 59, 'prec': 20, 'unit': 2623584752890822387823720935975179, 'val': 1}
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id: 583279
{'lmfdb_iso': '13230.dy', 'p': 61, 'prec': 20, 'unit': 1858968061782803084180895032046520, 'val': 1}
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id: 583262
{'lmfdb_iso': '13230.dy', 'p': 67, 'prec': 20, 'unit': 29290790432674102429705896136444147, 'val': 1}
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id: 583265
{'lmfdb_iso': '13230.dy', 'p': 71, 'prec': 20, 'unit': 83650603254157767229425791078749490, 'val': 1}
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id: 583266
{'lmfdb_iso': '13230.dy', 'p': 73, 'prec': 20, 'unit': 168472839280324364688227705945584045, 'val': 1}
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id: 583270
{'lmfdb_iso': '13230.dy', 'p': 79, 'prec': 20, 'unit': 982782499824196401110069728698102434, 'val': 1}
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id: 583276
{'lmfdb_iso': '13230.dy', 'p': 83, 'prec': 20, 'unit': 151287846380199280501771350707227634, 'val': 1}
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id: 583277
{'lmfdb_iso': '13230.dy', 'p': 89, 'prec': 20, 'unit': 4509883983592739771070149354211488304, 'val': 1}
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id: 583261
{'lmfdb_iso': '13230.dy', 'p': 97, 'prec': 20, 'unit': 50604812010689759437029531462943604375, 'val': 1}