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ec_curvedata • Show schema
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{'Ciso': '9660b', 'Clabel': '9660b1', 'Cnumber': 1, 'abc_quality': 1.026528774488476, 'absD': 7607250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1380, 'ainvs': [0, -1, 0, -10101, 394110], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9660, 'degree': 17280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95160324213711985649923848559', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [7124261256822784, 475453125], 'lmfdb_iso': '9660.b', 'lmfdb_label': '9660.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10101, 394110], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '138.6.0.?', '1380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0659033764647066385454138141', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72055418195047142002682777844', 'prec': 103}, 'szpiro_ratio': 4.280290520834192, '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, 4, 0, 6, 0, 1, 0, -6, 0, 6, 0], 'aplist': [0, -1, -1, 1, 4, 6, -6, 6, -1, -2, -8, -8, -10, -4, -12, -6, 10, 6, -12, -2, 6, -2, 4, -14, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 9660, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9660.b', 'trace_hash': 1360180331406194794}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14908979787399194589464863755', 'prec': 103}, 'conductor': 9660, 'gens': [[59, 7, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0659033764647066385454138141', 'prec': 100}], 'lmfdb_label': '9660.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2522795807196694190493395194', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0044271001007083335318424489738269381', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[58, 0, 1]], 'xcoord_integral_points': [-67, 58, 59, 139]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9660.b1'}
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ec_torsion_growth • Show schema
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id: 501482
{'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '9660.b1', 'torsion': [2, 2]}
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id: 501483
{'degree': 4, 'field': [69, 0, 14, 0, 1], 'lmfdb_label': '9660.b1', 'torsion': [4]}
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id: 501486
{'degree': 8, 'field': [-75, 0, -692, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '9660.b1', 'torsion': [6]}
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id: 501485
{'degree': 8, 'field': [225, 0, 870, 0, 259, 0, 34, 0, 1], 'lmfdb_label': '9660.b1', 'torsion': [2, 4]}
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id: 501484
{'degree': 8, 'field': [74632525, 28198330, -9673054, -110234, 125407, -502, -472, -4, 1], 'lmfdb_label': '9660.b1', 'torsion': [2, 4]}
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id: 501488
{'degree': 16, 'field': [-33379875, 56659275, -15158370, -25129749, 13572376, 2646711, -2440686, 1583, 192738, -6279, -10566, -759, 744, 101, -42, -3, 1], 'lmfdb_label': '9660.b1', 'torsion': [2, 6]}
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id: 501487
{'degree': 16, 'field': [35947764900, -4568724000, -7863679200, -1415424000, 1506757480, 220859920, -147659840, -3118960, 6395296, -107648, -121312, -10736, 4060, 104, -32, -8, 1], 'lmfdb_label': '9660.b1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 203429
{'conductor': 9660, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '9660.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 203430
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9660.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 203431
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '9660.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 203432
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9660.b1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 203433
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9660.b1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1727805
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [277, 4, 554, 9], [1022, 1, 179, 0], [349, 1036, 344, 1035], [1377, 4, 1376, 5], [1, 0, 4, 1], [922, 1, 919, 0], [3, 4, 8, 11]], 'adelic_image': '1380.12.0.?', 'conductor': 9660, 'lmfdb_label': '9660.b1', 'prime': 0}
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id: 46705
{'conductor': 9660, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9660.b1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 405430
{'lmfdb_iso': '9660.b', 'p': 11, 'prec': 20, 'unit': 31857584247286474031, 'val': 1}
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id: 405436
{'lmfdb_iso': '9660.b', 'p': 13, 'prec': 20, 'unit': 184561002917712374371, 'val': 1}
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id: 405438
{'lmfdb_iso': '9660.b', 'p': 17, 'prec': 20, 'unit': 140238903050571226190441, 'val': 1}
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id: 405439
{'lmfdb_iso': '9660.b', 'p': 19, 'prec': 20, 'unit': 914338960609941325920382, 'val': 1}
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id: 405435
{'lmfdb_iso': '9660.b', 'p': 29, 'prec': 20, 'unit': 74651173352762687437770319, 'val': 2}
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id: 405447
{'lmfdb_iso': '9660.b', 'p': 31, 'prec': 20, 'unit': 12092495818653711599469543680, 'val': 1}
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id: 405431
{'lmfdb_iso': '9660.b', 'p': 37, 'prec': 20, 'unit': 514766726133453766530374458780, 'val': 1}
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id: 405433
{'lmfdb_iso': '9660.b', 'p': 41, 'prec': 20, 'unit': 325165903823187689593555856342, 'val': 1}
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id: 405434
{'lmfdb_iso': '9660.b', 'p': 43, 'prec': 20, 'unit': 851338487023224130008984040588, 'val': 1}
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id: 405445
{'lmfdb_iso': '9660.b', 'p': 47, 'prec': 20, 'unit': 19890270209305147117458835004859, 'val': 1}
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id: 405440
{'lmfdb_iso': '9660.b', 'p': 53, 'prec': 20, 'unit': 507161465006926061708102728516866, 'val': 1}
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id: 405441
{'lmfdb_iso': '9660.b', 'p': 59, 'prec': 20, 'unit': 3350943024337282638058037397802341, 'val': 1}
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id: 405446
{'lmfdb_iso': '9660.b', 'p': 61, 'prec': 20, 'unit': 5260133873904013174872084791604590, 'val': 1}
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id: 405429
{'lmfdb_iso': '9660.b', 'p': 67, 'prec': 20, 'unit': 10123256485188931268479035575785522, 'val': 1}
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id: 405432
{'lmfdb_iso': '9660.b', 'p': 71, 'prec': 20, 'unit': 81088222657030511903133152513464484, 'val': 1}
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id: 405442
{'lmfdb_iso': '9660.b', 'p': 73, 'prec': 20, 'unit': 154351100248183880894414939585303669, 'val': 1}
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id: 405437
{'lmfdb_iso': '9660.b', 'p': 79, 'prec': 20, 'unit': 1048423176845144043189930648285939446, 'val': 1}
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id: 405443
{'lmfdb_iso': '9660.b', 'p': 83, 'prec': 20, 'unit': 1882221155338165416555717863490003573, 'val': 1}
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id: 405444
{'lmfdb_iso': '9660.b', 'p': 89, 'prec': 20, 'unit': 3517599104377474921232255184287221537, 'val': 1}
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id: 405428
{'lmfdb_iso': '9660.b', 'p': 97, 'prec': 20, 'unit': 29262752870306887531597543370375498424, 'val': 1}