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ec_curvedata • Show schema
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{'Ciso': '9702ca', 'Clabel': '9702ca2', 'Cnumber': 2, 'abc_quality': 1.0115965249920487, 'absD': 15130687534578, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [1, -1, 1, 1975, 183579], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 9702, 'degree': 23040, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2094516906523495456984130799', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 176418], 'lmfdb_iso': '9702.bu', 'lmfdb_label': '9702.bu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, 20], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '21.8.0-3.a.1.2', '24.24.0.p.1', '42.24.0-6.a.1.4', '132.24.0.?', '168.48.0.?', '264.48.1.?', '924.48.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2640447403622942210900816424', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31280952820936195255188591028', 'prec': 107}, 'szpiro_ratio': 4.114266084571566, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 4, 0, 0, 1, -6, 0, 4, 0], 'aplist': [1, 0, 0, 0, 1, 4, -6, 4, -6, -6, -8, -10, 6, 8, -6, 0, 0, -8, -4, -6, -2, 14, -12, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 9702, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '9702.bu', 'trace_hash': 1142401434233175330}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.089019184054407185375739287689', 'prec': 107}, 'conductor': 9702, 'gens': [[143, 4227, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2640447403622942210900816424', 'prec': 100}], 'lmfdb_label': '9702.bu4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.52181884844239625550266099059', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8129602707212505760628719039855999302', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-181, 177, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 1], '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [2, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9702.bu4'}
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ec_torsion_growth • Show schema
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id: 504485
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '9702.bu4', 'torsion': [6]}
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id: 504484
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [2, 2]}
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id: 504486
{'degree': 4, 'field': [-392, 0, -7, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [4]}
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id: 504487
{'degree': 4, 'field': [51, 6, -5, -2, 1], 'lmfdb_label': '9702.bu4', 'torsion': [2, 6]}
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id: 504488
{'degree': 6, 'field': [214, 244, 72, -15, -9, -1, 1], 'lmfdb_label': '9702.bu4', 'torsion': [6]}
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id: 504491
{'degree': 8, 'field': [4, 0, 456, 0, -175, 0, 3, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [12]}
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id: 504489
{'degree': 8, 'field': [576, 0, -960, 0, 658, 0, 16, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [2, 4]}
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id: 504490
{'degree': 8, 'field': [4624, 0, 3912, 0, -223, 0, 24, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [2, 4]}
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id: 504492
{'degree': 12, 'field': [1681, 0, 8459, 0, -4242, 0, 55, 0, 78, 0, 11, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [3, 6]}
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id: 504493
{'degree': 12, 'field': [60806, -16164, 4062, 23560, -10110, -2184, 1065, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '9702.bu4', 'torsion': [2, 6]}
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id: 504495
{'degree': 16, 'field': [89028, -361056, 980848, -1418592, 1259796, -714360, 260564, -60368, 9455, -820, -290, 88, 15, 0, 2, -4, 1], 'lmfdb_label': '9702.bu4', 'torsion': [2, 12]}
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id: 504496
{'degree': 16, 'field': [919972, 173760, 930632, 459632, 553300, 172024, 144596, 32, 24925, -5660, 2276, -760, 25, -20, 2, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [2, 12]}
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id: 504494
{'degree': 16, 'field': [89718784, 0, 70551552, 0, 18662590, 0, 1712124, 0, -51675, 0, -5130, 0, -824, 0, -6, 0, 1], 'lmfdb_label': '9702.bu4', 'torsion': [8]}
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id: 504497
{'degree': 18, 'field': [-353, -735, 1116, -15386, 14673, 20949, -23851, -18693, 17205, 10666, -7851, 3807, -1957, 600, -141, -26, 18, -6, 1], 'lmfdb_label': '9702.bu4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 204787
{'conductor': 9702, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9702.bu4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 204788
{'conductor': 9702, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '9702.bu4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 204789
{'conductor': 9702, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '9702.bu4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 204790
{'conductor': 9702, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9702.bu4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1728121
{'adelic_gens': [[274, 1323, 105, 1576], [1002, 1057, 77, 386], [1, 0, 12, 1], [11, 2, 1798, 1839], [1837, 12, 1836, 13], [1, 6, 6, 37], [1399, 1582, 1008, 1847], [1, 12, 0, 1], [673, 1596, 1134, 337], [263, 0, 0, 1847]], 'adelic_image': '1848.96.1.?', 'conductor': 9702, 'lmfdb_label': '9702.bu4', 'prime': 0}
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id: 46951
{'conductor': 9702, 'elladic_image': '8.6.0.5', 'lmfdb_label': '9702.bu4', 'modell_image': '2B', 'prime': 2}
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id: 46952
{'conductor': 9702, 'elladic_image': '3.4.0.1', 'lmfdb_label': '9702.bu4', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 407576
{'lmfdb_iso': '9702.bu', 'p': 13, 'prec': 20, 'unit': 863914403701915980176, 'val': 1}
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id: 407578
{'lmfdb_iso': '9702.bu', 'p': 17, 'prec': 20, 'unit': 7621664551891153043334, 'val': 2}
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id: 407579
{'lmfdb_iso': '9702.bu', 'p': 19, 'prec': 20, 'unit': 1826729831384294166450132, 'val': 1}
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id: 407581
{'lmfdb_iso': '9702.bu', 'p': 23, 'prec': 20, 'unit': 11186356700740291594164389, 'val': 1}
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id: 407575
{'lmfdb_iso': '9702.bu', 'p': 29, 'prec': 20, 'unit': 5015696967010790380408731533, 'val': 1}
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id: 407585
{'lmfdb_iso': '9702.bu', 'p': 31, 'prec': 20, 'unit': 9634726715800534637532328477, 'val': 1}
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id: 407571
{'lmfdb_iso': '9702.bu', 'p': 37, 'prec': 20, 'unit': 595264869541486798392855333202, 'val': 1}
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id: 407573
{'lmfdb_iso': '9702.bu', 'p': 41, 'prec': 20, 'unit': 3436121821166879924194015264608, 'val': 1}
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id: 407574
{'lmfdb_iso': '9702.bu', 'p': 43, 'prec': 20, 'unit': 5408528159941765665984385386232, 'val': 1}
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id: 407577
{'lmfdb_iso': '9702.bu', 'p': 47, 'prec': 20, 'unit': 14412821143627404922503506044111, 'val': 1}
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id: 407584
{'lmfdb_iso': '9702.bu', 'p': 61, 'prec': 20, 'unit': 747211589413974204934937774031558, 'val': 1}
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id: 407570
{'lmfdb_iso': '9702.bu', 'p': 67, 'prec': 20, 'unit': 33788642662564597966973576827071568, 'val': 1}
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id: 407572
{'lmfdb_iso': '9702.bu', 'p': 71, 'prec': 20, 'unit': 72326313614910768027626007830009953, 'val': 1}
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id: 407580
{'lmfdb_iso': '9702.bu', 'p': 73, 'prec': 20, 'unit': 90371928467375440716891816244250541, 'val': 1}
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id: 407583
{'lmfdb_iso': '9702.bu', 'p': 79, 'prec': 20, 'unit': 821803798856816899097319258631642330, 'val': 1}
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id: 407569
{'lmfdb_iso': '9702.bu', 'p': 83, 'prec': 20, 'unit': 94178963597017925136303969713338781, 'val': 1}
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id: 407582
{'lmfdb_iso': '9702.bu', 'p': 89, 'prec': 20, 'unit': 4460590814054020809684092932544335588, 'val': 1}
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id: 407568
{'lmfdb_iso': '9702.bu', 'p': 97, 'prec': 20, 'unit': 18387486355973856047134473321183612189, 'val': 1}