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ec_curvedata • Show schema
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{'Ciso': '6270g', 'Clabel': '6270g1', 'Cnumber': 1, 'abc_quality': 0.9143265641999082, 'absD': 12100510620, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 25080, 'ainvs': [1, 0, 1, 516, -2714], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6270, 'degree': 4608, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62263544477888833982115479935', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [15236391945671, 12100510620], 'lmfdb_iso': '6270.k', 'lmfdb_label': '6270.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 516, -2714], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '190.6.0.?', '264.48.0.?', '570.48.0.?', '25080.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5116117489967537190105182815', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62263544477888833982115479935', 'prec': 103}, 'szpiro_ratio': 3.471675881224463, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, -1, -1, 2, -1, 1, 1, -1, 1, 2, -2, -1, 1, -6, -1, 1, -1], 'aplist': [-1, 1, -1, 2, -1, 2, -6, 1, -6, 0, -4, 2, 6, 8, 6, -6, -12, -10, -4, -6, -4, 2, -6, 0, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 6270, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '6270.k', 'trace_hash': 1430580134832227085}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.28786291850926486200555756623', 'prec': 103}, 'conductor': 6270, 'gens': [[29, 177, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5116117489967537190105182815', 'prec': 100}], 'lmfdb_label': '6270.k4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.70502634996760802571801590129', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5415049278618827463661587354576432555', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[71, 591, 1]], 'xcoord_integral_points': [5, 14, 29, 71, 280, 299, 270341]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [4, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6270.k4'}
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ec_torsion_growth • Show schema
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id: 326278
{'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '6270.k4', 'torsion': [2, 6]}
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id: 326279
{'degree': 4, 'field': [-17, -146, -51, -2, 1], 'lmfdb_label': '6270.k4', 'torsion': [12]}
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id: 326280
{'degree': 6, 'field': [11163, 183, -182, -3, 4, -3, 1], 'lmfdb_label': '6270.k4', 'torsion': [3, 6]}
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id: 326281
{'degree': 8, 'field': [72900, 0, 21825, 0, 3615, 0, -125, 0, 1], 'lmfdb_label': '6270.k4', 'torsion': [2, 12]}
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id: 326282
{'degree': 8, 'field': [236196, 122472, 63558, 34380, 7071, 270, -17, -2, 1], 'lmfdb_label': '6270.k4', 'torsion': [2, 12]}
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id: 326283
{'degree': 9, 'field': [-50681, -1228959, -211455, -118722, -31761, -5040, -351, -36, 0, 1], 'lmfdb_label': '6270.k4', 'torsion': [18]}
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id: 326284
{'degree': 12, 'field': [356529924, 214461756, 44700768, 1022220, -2451600, 9396, 67719, -24483, 1060, -75, 28, -3, 1], 'lmfdb_label': '6270.k4', 'torsion': [6, 6]}
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id: 326285
{'degree': 16, 'field': [4327277200, 27376736000, 41968049424, -207254912, -2411211340, -1875287904, -86951012, 137772008, 28203507, 231428, 241582, 110712, 7169, -1160, -138, -4, 1], 'lmfdb_label': '6270.k4', 'torsion': [24]}
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id: 326286
{'degree': 18, 'field': [125141589481, 405443985606, 537315537573, 353408833977, 122176204488, 10268982693, -5654908071, -1817907327, 264163221, 200284888, 11058921, -6785523, -683313, 148887, 23022, -837, -243, 0, 1], 'lmfdb_label': '6270.k4', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 125250
{'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6270.k4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 125251
{'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6270.k4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 125252
{'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6270.k4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 125253
{'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6270.k4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 125254
{'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6270.k4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1705053
{'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [10, 3, 15021, 25072], [9121, 12, 4566, 73], [23770, 3, 21093, 25072], [25069, 12, 25068, 13], [12541, 12, 6, 73], [8369, 2, 20904, 1], [11, 2, 25030, 25071], [1, 0, 12, 1], [5235, 1048, 5198, 1037]], 'adelic_image': '25080.96.1.?', 'conductor': 6270, 'lmfdb_label': '6270.k4', 'prime': 0}
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id: 30750
{'conductor': 6270, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6270.k4', 'modell_image': '2B', 'prime': 2}
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id: 30751
{'conductor': 6270, 'elladic_image': '3.8.0.1', 'lmfdb_label': '6270.k4', 'modell_image': '3B.1.1', 'prime': 3}
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ec_padic • Show schema
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id: 244986
{'lmfdb_iso': '6270.k', 'p': 7, 'prec': 20, 'unit': 9152578311366695, 'val': 1}
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id: 244989
{'lmfdb_iso': '6270.k', 'p': 13, 'prec': 20, 'unit': 1017459251971276595368, 'val': 1}
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id: 244991
{'lmfdb_iso': '6270.k', 'p': 17, 'prec': 20, 'unit': 187855750075994106650408, 'val': 1}
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id: 244996
{'lmfdb_iso': '6270.k', 'p': 23, 'prec': 20, 'unit': 18923304243351922460554480, 'val': 1}
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id: 245000
{'lmfdb_iso': '6270.k', 'p': 31, 'prec': 20, 'unit': 13932980991060549575253485006, 'val': 1}
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id: 244985
{'lmfdb_iso': '6270.k', 'p': 37, 'prec': 20, 'unit': 598708720923164071625981646686, 'val': 1}
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id: 244987
{'lmfdb_iso': '6270.k', 'p': 41, 'prec': 20, 'unit': 13595031766957399310711315545, 'val': 2}
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id: 244988
{'lmfdb_iso': '6270.k', 'p': 43, 'prec': 20, 'unit': 8831596060761830598105499218412, 'val': 1}
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id: 244998
{'lmfdb_iso': '6270.k', 'p': 47, 'prec': 20, 'unit': 10129384811398857226997767141115, 'val': 1}
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id: 244993
{'lmfdb_iso': '6270.k', 'p': 53, 'prec': 20, 'unit': 358675900981789735907332417719766, 'val': 1}
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id: 244994
{'lmfdb_iso': '6270.k', 'p': 59, 'prec': 20, 'unit': 2496397983968247180549670377325761, 'val': 1}
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id: 244999
{'lmfdb_iso': '6270.k', 'p': 61, 'prec': 20, 'unit': 6655351688696796428444233053448855, 'val': 1}
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id: 244984
{'lmfdb_iso': '6270.k', 'p': 67, 'prec': 20, 'unit': 27461596684224515905584383763253932, 'val': 1}
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id: 244997
{'lmfdb_iso': '6270.k', 'p': 71, 'prec': 20, 'unit': 25509148095793663363462264246028842, 'val': 1}
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id: 244995
{'lmfdb_iso': '6270.k', 'p': 73, 'prec': 20, 'unit': 218093401052923160094255589323897500, 'val': 1}
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id: 244990
{'lmfdb_iso': '6270.k', 'p': 79, 'prec': 20, 'unit': 45410637208794588267696358369043628, 'val': 1}
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id: 244992
{'lmfdb_iso': '6270.k', 'p': 83, 'prec': 20, 'unit': 1920291147141553837563233203149263811, 'val': 1}
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id: 244983
{'lmfdb_iso': '6270.k', 'p': 97, 'prec': 20, 'unit': 38460512625457890989654696535167791412, 'val': 1}