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ec_curvedata • Show schema
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{'Ciso': '6336bd', 'Clabel': '6336bd3', 'Cnumber': 3, 'abc_quality': 1.0091329432672695, 'absD': 75544344133632, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -84396, -9427664], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6336, 'degree': 24576, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5763948480572842115810246804', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [347873904937, 395307], 'lmfdb_iso': '6336.x', 'lmfdb_label': '6336.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -146, 621], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '12.12.0.h.1', '24.24.0-12.h.1.2', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8467592079742462549287058059', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012632067116688598242446120248', 'prec': 110}, 'szpiro_ratio': 5.214006579364102, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, 4, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, -2, 4, 1, 2, 2, 0, -8, -6, -8, -6, 2, 0, -8, 6, -4, -6, 4, 0, -14, -4, 12, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 6336, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6336.x', 'trace_hash': 633315940512463905}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.042732749046559714476420663546', 'prec': 107}, 'conductor': 6336, 'gens': [[356, 2376, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8467592079742462549287058059', 'prec': 100}], 'lmfdb_label': '6336.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28012296903388597726708400266', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1385573794273086160556265606045768823', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-172, 0, 1]], 'xcoord_integral_points': [-172, 356]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6336.x1'}
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ec_torsion_growth • Show schema
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id: 330329
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [2, 2]}
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id: 330331
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [4]}
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id: 330330
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [4]}
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id: 330332
{'degree': 4, 'field': [1, 0, 4, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [2, 4]}
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id: 330336
{'degree': 8, 'field': [-48, 0, 0, 0, 24, 0, -10, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [6]}
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id: 330333
{'degree': 8, 'field': [-2, 16, -16, 4, -8, 8, 2, -4, 1], 'lmfdb_label': '6336.x1', 'torsion': [2, 4]}
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id: 330334
{'degree': 8, 'field': [9, 0, -24, 0, 55, 0, 14, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [8]}
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id: 330335
{'degree': 8, 'field': [16, 0, 26, 0, 33, 0, -10, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [8]}
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id: 330337
{'degree': 16, 'field': [1, -12, 68, -232, 488, -564, 194, 396, -665, 444, -62, -152, 162, -92, 34, -8, 1], 'lmfdb_label': '6336.x1', 'torsion': [4, 4]}
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id: 330339
{'degree': 16, 'field': [9, -72, 270, -528, 466, 168, -858, 788, 35, -844, 1106, -844, 444, -168, 44, -8, 1], 'lmfdb_label': '6336.x1', 'torsion': [2, 8]}
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id: 330340
{'degree': 16, 'field': [9, 0, 0, 0, -252, 0, 780, 0, -546, 0, -120, 0, 109, 0, -20, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [2, 6]}
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id: 330342
{'degree': 16, 'field': [49, 0, 988, 0, 2119, 0, 2152, 0, 1285, 0, 484, 0, 115, 0, 16, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [12]}
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id: 330338
{'degree': 16, 'field': [484, 0, -1716, 0, 949, 0, 1176, 0, 111, 0, 12, 0, 31, 0, 0, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [2, 8]}
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id: 330341
{'degree': 16, 'field': [2304, 0, 12672, 0, 11520, 0, 5184, 0, 1920, 0, 576, 0, 100, 0, 10, 0, 1], 'lmfdb_label': '6336.x1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 126891
{'conductor': 6336, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '6336.x1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 126892
{'conductor': 6336, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '6336.x1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 126893
{'conductor': 6336, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6336.x1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1705614
{'adelic_gens': [[80, 261, 83, 262], [232, 107, 235, 0], [1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 258, 259], [1, 4, 4, 17], [257, 8, 256, 9], [145, 8, 52, 33], [29, 30, 86, 221]], 'adelic_image': '264.48.0.?', 'conductor': 6336, 'lmfdb_label': '6336.x1', 'prime': 0}
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id: 31246
{'conductor': 6336, 'elladic_image': '8.12.0.7', 'lmfdb_label': '6336.x1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 248203
{'lmfdb_iso': '6336.x', 'p': 5, 'prec': 20, 'unit': 3105189414201, 'val': 1}
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id: 248204
{'lmfdb_iso': '6336.x', 'p': 7, 'prec': 20, 'unit': 10446055286917496, 'val': 1}
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id: 248209
{'lmfdb_iso': '6336.x', 'p': 13, 'prec': 20, 'unit': 160270890240932635438, 'val': 1}
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id: 248211
{'lmfdb_iso': '6336.x', 'p': 17, 'prec': 20, 'unit': 85744404170834461109901, 'val': 1}
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id: 248207
{'lmfdb_iso': '6336.x', 'p': 23, 'prec': 20, 'unit': 34442661388019600882963086, 'val': 1}
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id: 248208
{'lmfdb_iso': '6336.x', 'p': 29, 'prec': 20, 'unit': 1975436451256952473236276528, 'val': 1}
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id: 248205
{'lmfdb_iso': '6336.x', 'p': 31, 'prec': 20, 'unit': 5254722130550865906695460659, 'val': 1}
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id: 248219
{'lmfdb_iso': '6336.x', 'p': 37, 'prec': 20, 'unit': 154540578651462690765264463449, 'val': 1}
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id: 248206
{'lmfdb_iso': '6336.x', 'p': 41, 'prec': 20, 'unit': 1257388704252044260972569352216, 'val': 1}
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id: 248217
{'lmfdb_iso': '6336.x', 'p': 47, 'prec': 20, 'unit': 10873942435685707663690250393906, 'val': 1}
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id: 248213
{'lmfdb_iso': '6336.x', 'p': 53, 'prec': 20, 'unit': 468912585160847514984100090516280, 'val': 1}
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id: 248214
{'lmfdb_iso': '6336.x', 'p': 59, 'prec': 20, 'unit': 1526492041453780939511111579888148, 'val': 1}
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id: 248218
{'lmfdb_iso': '6336.x', 'p': 61, 'prec': 20, 'unit': 7573708901286672350014378332090342, 'val': 1}
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id: 248202
{'lmfdb_iso': '6336.x', 'p': 67, 'prec': 20, 'unit': 20536331242925879933972045659948589, 'val': 1}
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id: 248215
{'lmfdb_iso': '6336.x', 'p': 73, 'prec': 20, 'unit': 54971239822835066377637492758806063, 'val': 1}
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id: 248210
{'lmfdb_iso': '6336.x', 'p': 79, 'prec': 20, 'unit': 394764843326585806724832156849583229, 'val': 1}
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id: 248212
{'lmfdb_iso': '6336.x', 'p': 83, 'prec': 20, 'unit': 1295046396420847763837954694725486853, 'val': 1}
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id: 248216
{'lmfdb_iso': '6336.x', 'p': 89, 'prec': 20, 'unit': 7487201142768810777640647320843715555, 'val': 1}
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id: 248201
{'lmfdb_iso': '6336.x', 'p': 97, 'prec': 20, 'unit': 50899926818547066943835503293788084221, 'val': 1}