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ec_curvedata • Show schema
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{'Ciso': '37485bp', 'Clabel': '37485bp1', 'Cnumber': 1, 'abc_quality': 0.8757831891158607, 'absD': 287048486221875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1190, 'ainvs': [0, 0, 1, -15582, 1106775], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 37485, 'degree': 92160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4745923821980285400913907382', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1], 'jinv': [-4878401536, 3346875], 'lmfdb_iso': '37485.z', 'lmfdb_label': '37485.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -35, 131], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['1190.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25492719118087398222590999245', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047668836663682958158908251984', 'prec': 110}, 'szpiro_ratio': 3.92691427375654, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, -2, 1, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 4, 1, 0, 2, -2], 'aplist': [0, 0, 1, 0, 2, -3, 1, 2, 3, -4, 5, -1, 11, 4, -9, 0, -12, 5, -12, 2, 4, -10, -5, -14, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 37485, 'isogeny_matrix': [[1]], 'lmfdb_iso': '37485.z', 'trace_hash': 2241065776352279815}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.052382392537670979383784797185', 'prec': 107}, 'conductor': 37485, 'gens': [[-7, 1102, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.25492719118087398222590999245', 'prec': 103}], 'lmfdb_label': '37485.z1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50527970938863537634900025126', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1523814830053238796380588444549766011', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [], 'xcoord_integral_points': [-117, -7, 63]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 5, 0], '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '37485.z1'}
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ec_torsion_growth • Show schema
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id: 1855712
{'degree': 3, 'field': [-9, -1, -1, 1], 'lmfdb_label': '37485.z1', 'torsion': [2]}
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id: 1855713
{'degree': 6, 'field': [2380, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '37485.z1', 'torsion': [2, 2]}
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id: 1855714
{'degree': 8, 'field': [-196608, -73216, -16448, 4512, 764, 142, -45, -1, 1], 'lmfdb_label': '37485.z1', 'torsion': [3]}
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id: 1855715
{'degree': 12, 'field': [-13661055, 2717658, -2551080, -509136, 70801, -31996, 4876, -11776, 3571, -526, 16, -4, 1], 'lmfdb_label': '37485.z1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 885396
{'conductor': 37485, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '37485.z1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 885397
{'conductor': 37485, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '37485.z1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 885398
{'conductor': 37485, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '37485.z1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 885399
{'conductor': 37485, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37485.z1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 1189, 0], [1189, 2, 1188, 3], [171, 2, 171, 3], [71, 2, 71, 3], [477, 2, 477, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '1190.2.0.?', 'conductor': 37485, 'lmfdb_label': '37485.z1', 'prime': 0}
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ec_padic • Show schema
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id: 1847686
{'lmfdb_iso': '37485.z', 'p': 11, 'prec': 20, 'unit': 4237016208421851237, 'val': 1}
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id: 1847692
{'lmfdb_iso': '37485.z', 'p': 13, 'prec': 20, 'unit': 32906833508308682295, 'val': 1}
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id: 1847695
{'lmfdb_iso': '37485.z', 'p': 19, 'prec': 20, 'unit': 295109193135403142183619, 'val': 1}
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id: 1847697
{'lmfdb_iso': '37485.z', 'p': 23, 'prec': 20, 'unit': 42687211290056159244697396, 'val': 1}
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id: 1847691
{'lmfdb_iso': '37485.z', 'p': 29, 'prec': 20, 'unit': 4012865116981732652058844495, 'val': 1}
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id: 1847702
{'lmfdb_iso': '37485.z', 'p': 31, 'prec': 20, 'unit': 12825938248777290129568276322, 'val': 1}
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id: 1847687
{'lmfdb_iso': '37485.z', 'p': 37, 'prec': 20, 'unit': 489003744460347788998058187460, 'val': 1}
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id: 1847689
{'lmfdb_iso': '37485.z', 'p': 41, 'prec': 20, 'unit': 3674210211485048691166384231628, 'val': 1}
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id: 1847690
{'lmfdb_iso': '37485.z', 'p': 43, 'prec': 20, 'unit': 1884224509148757167165927116846, 'val': 1}
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id: 1847699
{'lmfdb_iso': '37485.z', 'p': 47, 'prec': 20, 'unit': 38709160119142490231941123158464, 'val': 1}
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id: 1847694
{'lmfdb_iso': '37485.z', 'p': 59, 'prec': 20, 'unit': 3159958834626589165039002736009984, 'val': 1}
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id: 1847700
{'lmfdb_iso': '37485.z', 'p': 61, 'prec': 20, 'unit': 7376357409568802587961899120904433, 'val': 1}
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id: 1847685
{'lmfdb_iso': '37485.z', 'p': 67, 'prec': 20, 'unit': 14971416682981701582599999308661052, 'val': 1}
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id: 1847688
{'lmfdb_iso': '37485.z', 'p': 71, 'prec': 20, 'unit': 111321481119114634933771728442693673, 'val': 1}
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id: 1847696
{'lmfdb_iso': '37485.z', 'p': 73, 'prec': 20, 'unit': 101073279172017700112760781087690225, 'val': 1}
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id: 1847693
{'lmfdb_iso': '37485.z', 'p': 79, 'prec': 20, 'unit': 108875283046391548244660543765171919, 'val': 1}
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id: 1847701
{'lmfdb_iso': '37485.z', 'p': 83, 'prec': 20, 'unit': 2531141958411290296813681583550557966, 'val': 1}
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id: 1847698
{'lmfdb_iso': '37485.z', 'p': 89, 'prec': 20, 'unit': 6411140027091592939388574328867362446, 'val': 1}
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id: 1847684
{'lmfdb_iso': '37485.z', 'p': 97, 'prec': 20, 'unit': 14088805737552968682228544844736571747, 'val': 1}