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ec_curvedata • Show schema
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{'Ciso': '117600ff', 'Clabel': '117600ff1', 'Cnumber': 1, 'abc_quality': 1.0653400939100561, 'absD': 26471025000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -7758, 91512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 117600, 'degree': 294912, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2678325753816372808462573198', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [438976, 225], 'lmfdb_iso': '117600.p', 'lmfdb_label': '117600.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6, 0], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '28.12.0-2.a.1.1', '40.12.0.a.1', '60.12.0.a.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4406753863574820121070836740', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85641504564304221371541477927', 'prec': 107}, 'szpiro_ratio': 3.2961906127873273, '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, -1, 0, 0, 0, 0, 0, 1, 0, -4, 0, 2, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, -1, 0, 0, -4, 2, -2, 8, 4, -6, 0, -2, 6, 4, 12, 6, 12, -14, -12, 0, 2, 8, 4, -2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 117600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '117600.p', 'trace_hash': 704434225417194190}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.079209015801481694524460038092', 'prec': 107}, 'conductor': 117600, 'gens': [[-44, 588, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4406753863574820121070836740', 'prec': 100}], 'lmfdb_label': '117600.p3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58949387772097562364973596944', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7550527910480497523216463070177068121', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[12, 0, 1], [82, 0, 1]], 'xcoord_integral_points': [-93, -44, 12, 82, 282]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '117600.p3'}
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ec_torsion_growth • Show schema
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id: 5387665
{'degree': 4, 'field': [9, 0, -34, 0, 1], 'lmfdb_label': '117600.p3', 'torsion': [2, 4]}
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id: 5387666
{'degree': 4, 'field': [256, 0, 38, 0, 1], 'lmfdb_label': '117600.p3', 'torsion': [2, 4]}
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id: 5387667
{'degree': 4, 'field': [274, 26, -25, -2, 1], 'lmfdb_label': '117600.p3', 'torsion': [2, 4]}
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id: 5387668
{'degree': 8, 'field': [-32399, -184, -8636, -1476, -510, -216, 4, -4, 1], 'lmfdb_label': '117600.p3', 'torsion': [2, 6]}
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id: 5387669
{'degree': 16, 'field': [576, -5184, 17712, -28560, 25018, -18900, 17850, -13276, 8321, -4684, 2534, -1204, 504, -168, 44, -8, 1], 'lmfdb_label': '117600.p3', 'torsion': [4, 4]}
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id: 5387672
{'degree': 16, 'field': [243076, -160576, 167040, -12560, 6804, -3936, 4792, 520, -3219, -16, 2212, -1392, 414, -112, 36, -8, 1], 'lmfdb_label': '117600.p3', 'torsion': [2, 8]}
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id: 5387670
{'degree': 16, 'field': [440896, 0, -9535744, 0, 5989120, 0, -1606656, 0, 244944, 0, -24096, 0, 1600, 0, -64, 0, 1], 'lmfdb_label': '117600.p3', 'torsion': [2, 8]}
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id: 5387671
{'degree': 16, 'field': [505261495, -52498000, 186055084, -8998024, 22476480, 2072600, 2348428, 158448, 293980, -12384, 35420, -1896, 2780, -104, 92, 0, 1], 'lmfdb_label': '117600.p3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 2894332
{'conductor': 117600, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '117600.p3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2894333
{'conductor': 117600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '117600.p3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2894334
{'conductor': 117600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '117600.p3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2894335
{'conductor': 117600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '117600.p3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2432658
{'adelic_gens': [[503, 476, 406, 111], [837, 4, 836, 5], [603, 602, 518, 239], [1, 4, 0, 1], [599, 0, 0, 839], [421, 602, 0, 1], [1, 0, 4, 1], [631, 364, 182, 729]], 'adelic_image': '840.48.0.?', 'conductor': 117600, 'lmfdb_label': '117600.p3', 'prime': 0}
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id: 463467
{'conductor': 117600, 'elladic_image': '2.6.0.1', 'lmfdb_label': '117600.p3', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 6144241
{'lmfdb_iso': '117600.p', 'p': 11, 'prec': 20, 'unit': 41325476878441389394, 'val': 1}
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id: 6144246
{'lmfdb_iso': '117600.p', 'p': 13, 'prec': 20, 'unit': 762211858346651380598, 'val': 1}
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id: 6144248
{'lmfdb_iso': '117600.p', 'p': 17, 'prec': 20, 'unit': 101056739852586602811841, 'val': 1}
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id: 6144249
{'lmfdb_iso': '117600.p', 'p': 19, 'prec': 20, 'unit': 1631893129020033321692319, 'val': 1}
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id: 6144253
{'lmfdb_iso': '117600.p', 'p': 23, 'prec': 20, 'unit': 48948768341736858263956128, 'val': 1}
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id: 6144245
{'lmfdb_iso': '117600.p', 'p': 29, 'prec': 20, 'unit': 2964722270165725541964602163, 'val': 1}
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id: 6144242
{'lmfdb_iso': '117600.p', 'p': 37, 'prec': 20, 'unit': 5153838919064537685236054179, 'val': 2}
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id: 6144243
{'lmfdb_iso': '117600.p', 'p': 41, 'prec': 20, 'unit': 3008210739216780804834324890152, 'val': 1}
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id: 6144244
{'lmfdb_iso': '117600.p', 'p': 43, 'prec': 20, 'unit': 7649612185412559066853584481003, 'val': 1}
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id: 6144255
{'lmfdb_iso': '117600.p', 'p': 47, 'prec': 20, 'unit': 38407760636539162205544671765146, 'val': 1}
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id: 6144250
{'lmfdb_iso': '117600.p', 'p': 53, 'prec': 20, 'unit': 453992346805818678780327320010456, 'val': 1}
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id: 6144251
{'lmfdb_iso': '117600.p', 'p': 59, 'prec': 20, 'unit': 1757761543625570074412989244104855, 'val': 1}
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id: 6144256
{'lmfdb_iso': '117600.p', 'p': 61, 'prec': 20, 'unit': 3894045095974805713965782189074781, 'val': 1}
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id: 6144240
{'lmfdb_iso': '117600.p', 'p': 67, 'prec': 20, 'unit': 33099503641260824826685158778265470, 'val': 1}
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id: 6144252
{'lmfdb_iso': '117600.p', 'p': 73, 'prec': 20, 'unit': 167481565713096521154794712267733588, 'val': 1}
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id: 6144247
{'lmfdb_iso': '117600.p', 'p': 79, 'prec': 20, 'unit': 168625622594038255651447031948879638, 'val': 1}
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id: 6144257
{'lmfdb_iso': '117600.p', 'p': 83, 'prec': 20, 'unit': 2697782124693628104223993210829852776, 'val': 1}
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id: 6144254
{'lmfdb_iso': '117600.p', 'p': 89, 'prec': 20, 'unit': 4732509731656995195546369697303108136, 'val': 1}
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id: 6144239
{'lmfdb_iso': '117600.p', 'p': 97, 'prec': 20, 'unit': 16017663647943419641444752128727027280, 'val': 1}