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ec_curvedata • Show schema
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{'Ciso': '67600da', 'Clabel': '67600da1', 'Cnumber': 1, 'abc_quality': 1.0904350906962674, 'absD': 24713262080000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -1408, 240512], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 67600, 'degree': 103680, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2495222631468321446901504622', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-25, 2], 'lmfdb_iso': '67600.bh', 'lmfdb_label': '67600.bh3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -2], 'min_quad_twist_disc': -52, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '8.2.0.a.1', '15.96.1.a.2', '24.8.0.a.1', '40.24.1.bx.2', '120.192.9.?', '156.8.0.?', '260.24.0.?', '312.16.0.?', '520.48.1.?', '780.192.1.?', '1560.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1265215094028078945336275234', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2625789002885816576207451578', 'prec': 103}, 'szpiro_ratio': 3.4438483796132884, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 2, 0, -2, 0, -3, 0, 0, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, -1, 0, 2, -3, 0, -3, 5, -6, 0, 2, -2, 3, 4, 12, 6, 0, 2, -13, 12, -11, 10, -9, -15, -2], 'class_deg': 15, 'class_size': 4, 'conductor': 67600, 'isogeny_matrix': [[1, 15, 3, 5], [15, 1, 5, 3], [3, 5, 1, 15], [5, 3, 15, 1]], 'lmfdb_iso': '67600.bh', 'trace_hash': 428063227159199538}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.082163466162633950507006397954', 'prec': 107}, 'conductor': 67600, 'gens': [[178, 2366, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1265215094028078945336275234', 'prec': 100}], 'lmfdb_label': '67600.bh3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.55385892078982152920135220031', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7111716329367259834798489473745484830', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [178]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '67600.bh3'}
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ec_torsion_growth • Show schema
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id: 3219223
{'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [3]}
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id: 3219224
{'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '67600.bh3', 'torsion': [2]}
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id: 3219225
{'degree': 4, 'field': [845, 0, -65, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [5]}
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id: 3219227
{'degree': 6, 'field': [-6591, 0, 1183, 0, -13, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [3]}
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id: 3219226
{'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [2, 2]}
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id: 3219228
{'degree': 6, 'field': [686, 98, -119, 52, 26, -2, 1], 'lmfdb_label': '67600.bh3', 'torsion': [6]}
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id: 3219229
{'degree': 8, 'field': [28561, 0, -2197, 0, 169, 0, -13, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [15]}
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id: 3219230
{'degree': 10, 'field': [121026, -115780, -2170, 14540, 1940, 358, -190, -60, 0, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [5]}
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id: 3219231
{'degree': 12, 'field': [-173846, -177091, -139791, -79945, -27519, -12952, -1056, -1000, 282, -43, 33, -1, 1], 'lmfdb_label': '67600.bh3', 'torsion': [4]}
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id: 3219234
{'degree': 12, 'field': [217156, 0, -100552, 0, 29876, 0, -4868, 0, 521, 0, -32, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [2, 6]}
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id: 3219233
{'degree': 12, 'field': [1904821, 127928, -881559, -79810, 177900, 16408, -19261, -1542, 1200, 120, -59, -2, 1], 'lmfdb_label': '67600.bh3', 'torsion': [10]}
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id: 3219232
{'degree': 12, 'field': [5036989, -2489820, 2960123, -987666, 614130, -151848, 63343, -11394, 3462, -420, 95, -6, 1], 'lmfdb_label': '67600.bh3', 'torsion': [3, 3]}
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id: 3219236
{'degree': 18, 'field': [-912297182, -669268464, 287796978, 391308348, 22731972, -76614708, -18429894, 5020440, 2103844, 260396, -15078, -57864, -12423, 3912, 525, -36, 1, -8, 1], 'lmfdb_label': '67600.bh3', 'torsion': [6]}
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id: 3219235
{'degree': 18, 'field': [12813975721, -6632387580, 10272394515, -3991081012, 3329894475, -1026118206, 598993351, -149476080, 67367883, -13637708, 4971012, -803028, 241866, -29868, 7473, -640, 132, -6, 1], 'lmfdb_label': '67600.bh3', 'torsion': [9]}
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id: 3219237
{'degree': 20, 'field': [1130272289, 12918360, 107996980, 108237080, 4225, -37056, 5616380, -520, -18190, -156800, -60920, 560, 5030, -360, 0, -8, 185, 0, 0, 0, 1], 'lmfdb_label': '67600.bh3', 'torsion': [15]}
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ec_localdata • Show schema
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id: 1635148
{'conductor': 67600, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '67600.bh3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1635149
{'conductor': 67600, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '67600.bh3', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1635150
{'conductor': 67600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '67600.bh3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2111320
{'adelic_gens': [[781, 1170, 1365, 1171], [313, 1170, 0, 1249], [1, 1482, 1170, 781], [1169, 390, 585, 389], [479, 0, 0, 1559], [1, 312, 0, 1], [1041, 130, 520, 1041], [521, 1040, 520, 1041], [1366, 585, 1365, 1], [1, 0, 780, 1], [481, 1080, 480, 481], [1, 156, 780, 1], [1, 0, 1080, 1], [1, 0, 390, 1]], 'adelic_image': '1560.384.9.?', 'conductor': 67600, 'lmfdb_label': '67600.bh3', 'prime': 0}
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id: 282415
{'conductor': 67600, 'elladic_image': '8.2.0.1', 'lmfdb_label': '67600.bh3', 'modell_image': '2G', 'prime': 2}
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id: 282416
{'conductor': 67600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '67600.bh3', 'modell_image': '3B', 'prime': 3}
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id: 282417
{'conductor': 67600, 'elladic_image': '5.12.0.2', 'lmfdb_label': '67600.bh3', 'modell_image': '5B.4.2', 'prime': 5}
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ec_padic • Show schema
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id: 3456443
{'lmfdb_iso': '67600.bh', 'p': 7, 'prec': 20, 'unit': 9504414559802065, 'val': 1}
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id: 3456447
{'lmfdb_iso': '67600.bh', 'p': 11, 'prec': 20, 'unit': 49304756205042684140, 'val': 1}
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id: 3456448
{'lmfdb_iso': '67600.bh', 'p': 17, 'prec': 20, 'unit': 27901870927320394602241, 'val': 1}
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id: 3456449
{'lmfdb_iso': '67600.bh', 'p': 19, 'prec': 20, 'unit': 370779330212497333276677, 'val': 1}
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id: 3456452
{'lmfdb_iso': '67600.bh', 'p': 23, 'prec': 20, 'unit': 58194346513622735622621565, 'val': 1}
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id: 3456457
{'lmfdb_iso': '67600.bh', 'p': 31, 'prec': 20, 'unit': 19635071113789996477912741205, 'val': 1}
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id: 3456442
{'lmfdb_iso': '67600.bh', 'p': 37, 'prec': 20, 'unit': 235076035112971559494066042122, 'val': 1}
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id: 3456444
{'lmfdb_iso': '67600.bh', 'p': 41, 'prec': 20, 'unit': 1676694694733973428626503914773, 'val': 1}
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id: 3456445
{'lmfdb_iso': '67600.bh', 'p': 43, 'prec': 20, 'unit': 3376166848407405160108428271916, 'val': 1}
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id: 3456446
{'lmfdb_iso': '67600.bh', 'p': 47, 'prec': 20, 'unit': 508085286703121328956217482783, 'val': 1}
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id: 3456450
{'lmfdb_iso': '67600.bh', 'p': 53, 'prec': 20, 'unit': 12790605444902663703201873668766, 'val': 1}
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id: 3456456
{'lmfdb_iso': '67600.bh', 'p': 61, 'prec': 20, 'unit': 4322995923405366529057445383832331, 'val': 1}
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id: 3456441
{'lmfdb_iso': '67600.bh', 'p': 67, 'prec': 20, 'unit': 29713269248592665147060781577627190, 'val': 1}
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id: 3456454
{'lmfdb_iso': '67600.bh', 'p': 71, 'prec': 20, 'unit': 25232932122617993125139442366314047, 'val': 1}
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id: 3456451
{'lmfdb_iso': '67600.bh', 'p': 73, 'prec': 20, 'unit': 83536365345535034990048006932123763, 'val': 1}
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id: 3456455
{'lmfdb_iso': '67600.bh', 'p': 79, 'prec': 20, 'unit': 905841885010781355965854846714383623, 'val': 1}
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id: 3456440
{'lmfdb_iso': '67600.bh', 'p': 83, 'prec': 20, 'unit': 2183362535017519627990775136771193570, 'val': 1}
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id: 3456453
{'lmfdb_iso': '67600.bh', 'p': 89, 'prec': 20, 'unit': 10796684399797504158630244673120678730, 'val': 1}
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id: 3456439
{'lmfdb_iso': '67600.bh', 'p': 97, 'prec': 20, 'unit': 53112528036431495550655961677753191439, 'val': 1}