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ec_curvedata • Show schema
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{'Ciso': '262080bt', 'Clabel': '262080bt2', 'Cnumber': 2, 'abc_quality': 0.9897957683776542, 'absD': 1107974881103944089600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -35564268, 81617885008], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 262080, 'degree': 21233664, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0310740617034457399704599014', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 45, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [26031421522845051769, 5797789779600], 'lmfdb_iso': '262080.bt', 'lmfdb_label': '262080.bt6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -61744, 5898926], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '12.48.0.a.2', '24.96.0-12.a.2.16', '156.96.1.?', '312.192.1.?', '420.96.1.?', '840.192.1.?', '1820.12.0.?', '3640.24.0.?', '5460.192.5.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3146768058756194320315418800', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4420471465294729301469891008', 'prec': 100}, 'szpiro_ratio': 5.111581307060607, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, -1, -1, 0, -1, 6, -4, 0, 6, -8, -2, -6, 8, 12, -6, 12, -14, -4, -12, 2, -8, 0, -6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 262080, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '262080.bt', 'trace_hash': 164980532000910249}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0023293916884566715200382976677', 'prec': 110}, 'conductor': 262080, 'gens': [[-6118, 264960, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3146768058756194320315418800', 'prec': 100}], 'lmfdb_label': '262080.bt6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15071296792328928627298318243', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4079257197326543394624573808813778446', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[3404, 0, 1], [3482, 0, 1]], 'xcoord_integral_points': [-6886, -6118, 3404, 3482, 132029]}
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lmfdb_label 262080.bt6 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11230128
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 6]}
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id: 11230131
{'degree': 4, 'field': [361, 0, -40, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 4]}
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id: 11230129
{'degree': 4, 'field': [786, 48, -47, -2, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 4]}
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id: 11230130
{'degree': 4, 'field': [5184, 0, -66, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 4]}
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id: 11230132
{'degree': 6, 'field': [8450, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 6]}
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id: 11230135
{'degree': 8, 'field': [-23, 76, 16, -164, 33, 56, -14, -4, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 12]}
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id: 11230133
{'degree': 8, 'field': [10299, -2844, 3304, -952, 557, -100, 38, -4, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 12]}
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id: 11230134
{'degree': 8, 'field': [12996, 0, 5676, 0, 757, 0, -46, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 12]}
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id: 11230136
{'degree': 12, 'field': [86436, 0, 25872, 0, 7156, 0, -412, 0, -84, 0, 2, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [6, 6]}
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id: 11230137
{'degree': 12, 'field': [730089126, -106719444, 120241134, -26708760, 12527970, 963456, -274559, -39006, 8595, 760, -141, -6, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 12]}
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id: 11230141
{'degree': 16, 'field': [1863225, 0, -4775940, 0, 3230409, 0, -371748, 0, -7760, 0, -500, 0, 33, 0, -20, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 8]}
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id: 11230139
{'degree': 16, 'field': [2952400896, 0, -444220416, 0, 73603392, 0, 5569632, 0, -771500, 0, -24322, 0, 3837, 0, -94, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 8]}
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id: 11230138
{'degree': 16, 'field': [342403138624, 90139619264, -82117453200, -15805883024, 7305778050, 719506572, -244669862, 4092964, -918951, -133708, 92086, -37140, 7464, -616, 108, -8, 1], 'lmfdb_label': '262080.bt6', 'torsion': [4, 4]}
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id: 11230140
{'degree': 16, 'field': [4531046632576, 2222045548800, -85404653120, -305738664000, 51431820944, -5398676640, 518997360, -2034480, 26825456, -2376360, 679560, -87360, 2849, -840, 130, 0, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 8]}
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id: 11230142
{'degree': 18, 'field': [-9176553991053, -719874262818, 2662884327717, 1388044430028, 59680820412, -14422581684, 38635607016, 11882317356, -110031966, -267068376, 74878578, 12138948, -2571092, -224268, 46464, 1924, -381, -6, 1], 'lmfdb_label': '262080.bt6', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 6496193
{'conductor': 262080, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '262080.bt6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6496194
{'conductor': 262080, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '262080.bt6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6496195
{'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.bt6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6496196
{'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '262080.bt6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6496197
{'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.bt6', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3323640
{'adelic_gens': [[1099, 6, 2178, 5455], [9, 4, 10904, 10913], [5471, 10908, 5472, 10907], [10911, 10916, 5476, 5467], [8183, 10908, 10776, 10673], [10913, 10914, 8586, 5465], [1, 0, 12, 1], [4201, 6, 0, 1], [1821, 4, 1822, 9], [10909, 12, 10908, 13], [5459, 0, 0, 10919], [1, 12, 0, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 262080, 'lmfdb_label': '262080.bt6', 'prime': 0}
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id: 940388
{'conductor': 262080, 'elladic_image': '8.12.0.1', 'lmfdb_label': '262080.bt6', 'modell_image': '2Cs', 'prime': 2}
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id: 940389
{'conductor': 262080, 'elladic_image': '3.4.0.1', 'lmfdb_label': '262080.bt6', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 262080.bt does not appear in ec_padic