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ec_curvedata • Show schema
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{'Ciso': '91728fl', 'Clabel': '91728fl1', 'Cnumber': 1, 'abc_quality': 1.0387829692161805, 'absD': 1052844181741137031593984, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2184, 'ainvs': [0, 0, 0, 5037837, 49175168434], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 91728, 'degree': 10838016, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2890009989207165802398486036', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 69, 'isogeny_degrees': [1, 7], 'jinv': [40251338884511, 2997011332224], 'lmfdb_iso': '91728.cr', 'lmfdb_label': '91728.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 714, -82908], 'min_quad_twist_disc': -84, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '84.48.0.?', '728.48.0.?', '2184.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5172830539516035834634405844', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5733], [3, 8, 10192], [7, 26, 1872], [13, 14, 7056]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0735925994990597725723174920', 'prec': 100}, 'szpiro_ratio': 5.492495441268786, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 5, 0, 1, 0, 0, 0, -3, 0, -1, 0], 'aplist': [0, 0, -1, 0, 5, 1, -3, -1, 3, -9, 4, -11, 0, 5, 8, 2, -4, 15, 2, -12, -11, -10, 14, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 91728, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '91728.cr', 'trace_hash': 1244023820432521846}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0013906249927245780810414430335', 'prec': 110}, 'conductor': 91728, 'gens': [[10185, 1075648, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5172830539516035834634405844', 'prec': 100}], 'lmfdb_label': '91728.cr2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.066790011064183827250530126118', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4857185254992787348575437033290830591', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [], 'xcoord_integral_points': [1239, 10185]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '91728.cr2'}
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ec_torsion_growth • Show schema
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id: 4285194
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '91728.cr2', 'torsion': [7]}
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id: 4285195
{'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '91728.cr2', 'torsion': [2]}
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id: 4285197
{'degree': 6, 'field': [21, 0, -17, 0, 11, 0, 1], 'lmfdb_label': '91728.cr2', 'torsion': [14]}
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id: 4285196
{'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '91728.cr2', 'torsion': [2, 2]}
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id: 4285198
{'degree': 8, 'field': [8073, -8814, 4342, -1500, 408, -86, -12, 0, 1], 'lmfdb_label': '91728.cr2', 'torsion': [3]}
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id: 4285199
{'degree': 12, 'field': [-27636, 101072, -320232, 318960, -123916, 51976, -29452, 2424, -1333, 16, 20, -4, 1], 'lmfdb_label': '91728.cr2', 'torsion': [4]}
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id: 4285200
{'degree': 12, 'field': [10816, 0, -20800, 0, 15588, 0, 6040, 0, 768, 0, 44, 0, 1], 'lmfdb_label': '91728.cr2', 'torsion': [2, 14]}
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id: 4285201
{'degree': 16, 'field': [167639949, 16232724, 198203976, -73424664, 55512684, -17513964, 7503480, -2035752, 624678, -118140, 24352, -5472, 1704, -76, -24, 0, 1], 'lmfdb_label': '91728.cr2', 'torsion': [21]}
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ec_localdata • Show schema
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id: 2245797
{'conductor': 91728, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '91728.cr2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2245798
{'conductor': 91728, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '91728.cr2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2245799
{'conductor': 91728, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '91728.cr2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2245800
{'conductor': 91728, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '91728.cr2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2268019
{'adelic_gens': [[2171, 14, 2170, 15], [1, 14, 0, 1], [545, 2170, 1631, 2085], [727, 2170, 721, 2085], [1093, 14, 1099, 99], [1, 0, 14, 1], [8, 5, 91, 57], [1637, 1078, 539, 1383], [2017, 14, 1015, 99]], 'adelic_image': '2184.96.2.?', 'conductor': 91728, 'lmfdb_label': '91728.cr2', 'prime': 0}
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id: 371825
{'conductor': 91728, 'elladic_image': '7.24.0.1', 'lmfdb_label': '91728.cr2', 'modell_image': '7B.6.1', 'prime': 7}
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ec_padic • Show schema
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id: 4757962
{'lmfdb_iso': '91728.cr', 'p': 5, 'prec': 20, 'unit': 8581767483801, 'val': 1}
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id: 4757969
{'lmfdb_iso': '91728.cr', 'p': 11, 'prec': 20, 'unit': 19923863734060247531, 'val': 1}
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id: 4757970
{'lmfdb_iso': '91728.cr', 'p': 17, 'prec': 20, 'unit': 211227683553541169679216, 'val': 1}
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id: 4757971
{'lmfdb_iso': '91728.cr', 'p': 19, 'prec': 20, 'unit': 821332278781343414507304, 'val': 1}
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id: 4757974
{'lmfdb_iso': '91728.cr', 'p': 23, 'prec': 20, 'unit': 1813733608929738012203847, 'val': 2}
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id: 4757967
{'lmfdb_iso': '91728.cr', 'p': 29, 'prec': 20, 'unit': 1404446195665070840656909782, 'val': 1}
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id: 4757964
{'lmfdb_iso': '91728.cr', 'p': 31, 'prec': 20, 'unit': 17707088640308528610651518746, 'val': 1}
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id: 4757978
{'lmfdb_iso': '91728.cr', 'p': 37, 'prec': 20, 'unit': 464647504547304244801052163656, 'val': 1}
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id: 4757966
{'lmfdb_iso': '91728.cr', 'p': 43, 'prec': 20, 'unit': 10850236184052053329943368425237, 'val': 1}
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id: 4757976
{'lmfdb_iso': '91728.cr', 'p': 47, 'prec': 20, 'unit': 45067102359211655303711979974219, 'val': 1}
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id: 4757972
{'lmfdb_iso': '91728.cr', 'p': 53, 'prec': 20, 'unit': 485752454417083323376505482050690, 'val': 1}
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id: 4757973
{'lmfdb_iso': '91728.cr', 'p': 59, 'prec': 20, 'unit': 2809683293383053293093146501049280, 'val': 1}
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id: 4757977
{'lmfdb_iso': '91728.cr', 'p': 61, 'prec': 20, 'unit': 5273728051964043505580064265104221, 'val': 1}
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id: 4757961
{'lmfdb_iso': '91728.cr', 'p': 67, 'prec': 20, 'unit': 27714779581357874654634737896100036, 'val': 1}
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id: 4757963
{'lmfdb_iso': '91728.cr', 'p': 71, 'prec': 20, 'unit': 119558888236510243289016387601729612, 'val': 1}
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id: 4757965
{'lmfdb_iso': '91728.cr', 'p': 73, 'prec': 20, 'unit': 144283226218818606734658628927618411, 'val': 1}
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id: 4757968
{'lmfdb_iso': '91728.cr', 'p': 79, 'prec': 20, 'unit': 322797918757472665088303353066681764, 'val': 1}
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id: 4757960
{'lmfdb_iso': '91728.cr', 'p': 83, 'prec': 20, 'unit': 979355165895045385953788070456239135, 'val': 1}
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id: 4757975
{'lmfdb_iso': '91728.cr', 'p': 89, 'prec': 20, 'unit': 10413884670558625181200081599504018277, 'val': 1}
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id: 4757959
{'lmfdb_iso': '91728.cr', 'p': 97, 'prec': 20, 'unit': 10115802246517208410089814929914302563, 'val': 1}