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ec_curvedata • Show schema
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{'Ciso': '9660e', 'Clabel': '9660e2', 'Cnumber': 2, 'abc_quality': 1.0511561416164434, 'absD': 100238359788000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 966, 'ainvs': [0, 1, 0, -379541, -91405305], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 9660, 'degree': 116640, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0616863467760003430763191194', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-23618971583050153984, 391556092921875], 'lmfdb_iso': '9660.d', 'lmfdb_label': '9660.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -379541, -91405305], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '966.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.95420890945237003534876666481', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5995882264027034701314977051', 'prec': 100}, 'szpiro_ratio': 5.468981766865498, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 1, 0, 1, 0, -3, 0, -4, 0, -1, 0, 6, 0, -1, 0], 'aplist': [0, 1, -1, 1, -3, -4, 6, -1, 1, -6, -4, 2, 3, 2, 9, 3, -3, -7, 14, -12, 2, -10, -12, -12, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 9660, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '9660.d', 'trace_hash': 1222458884518852508}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.016189818960232412962735786231', 'prec': 107}, 'conductor': 9660, 'gens': [[2602, 128625, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.95420890945237003534876666481', 'prec': 103}], 'lmfdb_label': '9660.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.096078733008699433862656443377', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9506758844730117636903094599742500335', 'prec': 130}, 'tamagawa_product': 54, 'torsion_generators': [], 'xcoord_integral_points': [2602]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 1], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [4, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9660.d1'}
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ec_torsion_growth • Show schema
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id: 501520
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '9660.d1', 'torsion': [3]}
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id: 501522
{'degree': 3, 'field': [-92, 0, 0, 1], 'lmfdb_label': '9660.d1', 'torsion': [3]}
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id: 501521
{'degree': 3, 'field': [3, 7, -1, 1], 'lmfdb_label': '9660.d1', 'torsion': [2]}
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id: 501525
{'degree': 6, 'field': [9, 21, 52, -13, -6, -1, 1], 'lmfdb_label': '9660.d1', 'torsion': [6]}
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id: 501523
{'degree': 6, 'field': [1932, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '9660.d1', 'torsion': [2, 2]}
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id: 501524
{'degree': 6, 'field': [8649, -279, -270, 177, 6, -3, 1], 'lmfdb_label': '9660.d1', 'torsion': [3, 3]}
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id: 501526
{'degree': 9, 'field': [-97336, 0, 0, -6532, 0, 0, -230, 0, 0, 1], 'lmfdb_label': '9660.d1', 'torsion': [6]}
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id: 501527
{'degree': 12, 'field': [-8802675, 0, -291654, 0, 931879, 0, -152164, 0, -789, 0, 74, 0, 1], 'lmfdb_label': '9660.d1', 'torsion': [4]}
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id: 501528
{'degree': 12, 'field': [32400, 36720, 42336, 12504, 6304, -2528, 833, -455, 82, -67, 8, -1, 1], 'lmfdb_label': '9660.d1', 'torsion': [2, 6]}
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id: 501530
{'degree': 18, 'field': [947425323, -609047712, -309537726, 282881088, 116102874, -24739896, -34866029, -3367230, 8799450, 4104540, 699510, -27630, -21847, 5538, 924, -72, 24, -6, 1], 'lmfdb_label': '9660.d1', 'torsion': [3, 6]}
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id: 501529
{'degree': 18, 'field': [3996969003, 0, 0, -465935265, 0, 0, 16852882, 0, 0, -163875, 0, 0, -524, 0, 0, -15, 0, 0, 1], 'lmfdb_label': '9660.d1', 'torsion': [9]}
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id: 501531
{'degree': 18, 'field': [461531492352, 0, 0, 0, 0, 0, 213834496, 0, 0, 0, 0, 0, 21712, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '9660.d1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 203459
{'conductor': 9660, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '9660.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 203460
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9660.d1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 203461
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '9660.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 203462
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '9660.d1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 203463
{'conductor': 9660, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9660.d1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1727808
{'adelic_gens': [[4, 3, 9, 7], [925, 6, 843, 19], [961, 6, 960, 7], [164, 807, 1, 484], [1, 6, 0, 1], [3, 4, 8, 11], [829, 6, 555, 19], [1, 0, 6, 1]], 'adelic_image': '966.16.0.?', 'conductor': 9660, 'lmfdb_label': '9660.d1', 'prime': 0}
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id: 46707
{'conductor': 9660, 'elladic_image': '3.8.0.2', 'lmfdb_label': '9660.d1', 'modell_image': '3B.1.2', 'prime': 3}
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ec_padic • Show schema
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id: 405469
{'lmfdb_iso': '9660.d', 'p': 11, 'prec': 20, 'unit': 31029509391157451151, 'val': 1}
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id: 405475
{'lmfdb_iso': '9660.d', 'p': 13, 'prec': 20, 'unit': 1052648909122695925979, 'val': 1}
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id: 405477
{'lmfdb_iso': '9660.d', 'p': 17, 'prec': 20, 'unit': 34758666142435326333367, 'val': 1}
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id: 405478
{'lmfdb_iso': '9660.d', 'p': 19, 'prec': 20, 'unit': 1458085933217549968751443, 'val': 1}
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id: 405474
{'lmfdb_iso': '9660.d', 'p': 29, 'prec': 20, 'unit': 1798156932278106537183015002, 'val': 1}
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id: 405486
{'lmfdb_iso': '9660.d', 'p': 31, 'prec': 20, 'unit': 8051003260258623624073740686, 'val': 1}
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id: 405470
{'lmfdb_iso': '9660.d', 'p': 37, 'prec': 20, 'unit': 400586078644221164921676347598, 'val': 1}
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id: 405472
{'lmfdb_iso': '9660.d', 'p': 41, 'prec': 20, 'unit': 4152254312985401330207405837905, 'val': 1}
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id: 405473
{'lmfdb_iso': '9660.d', 'p': 43, 'prec': 20, 'unit': 4188626915506628859166193246733, 'val': 1}
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id: 405484
{'lmfdb_iso': '9660.d', 'p': 47, 'prec': 20, 'unit': 13692592015553983253591937307020, 'val': 1}
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id: 405479
{'lmfdb_iso': '9660.d', 'p': 53, 'prec': 20, 'unit': 366457934847017188071642293613562, 'val': 1}
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id: 405480
{'lmfdb_iso': '9660.d', 'p': 59, 'prec': 20, 'unit': 187909672755346970836844700841565, 'val': 1}
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id: 405485
{'lmfdb_iso': '9660.d', 'p': 61, 'prec': 20, 'unit': 1081776792564928541868805081465248, 'val': 1}
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id: 405468
{'lmfdb_iso': '9660.d', 'p': 67, 'prec': 20, 'unit': 47939329635544469607533717675060604, 'val': 1}
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id: 405471
{'lmfdb_iso': '9660.d', 'p': 71, 'prec': 20, 'unit': 115563691916923911916601861565574399, 'val': 1}
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id: 405481
{'lmfdb_iso': '9660.d', 'p': 73, 'prec': 20, 'unit': 107034049933607148418305046579360644, 'val': 1}
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id: 405476
{'lmfdb_iso': '9660.d', 'p': 79, 'prec': 20, 'unit': 196318337443102285986461757401333117, 'val': 1}
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id: 405482
{'lmfdb_iso': '9660.d', 'p': 83, 'prec': 20, 'unit': 99829748790522665883830510761774227, 'val': 1}
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id: 405483
{'lmfdb_iso': '9660.d', 'p': 89, 'prec': 20, 'unit': 10193346696374868410924457178571739050, 'val': 1}
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id: 405467
{'lmfdb_iso': '9660.d', 'p': 97, 'prec': 20, 'unit': 31475088360750502294676320613926313213, 'val': 1}