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ec_curvedata • Show schema
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{'Ciso': '116886s', 'Clabel': '116886s1', 'Cnumber': 1, 'abc_quality': 1.06192177606013, 'absD': 21429056376352548, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 21252, 'ainvs': [1, 0, 1, -1312, 7042946], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 116886, 'degree': 984960, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8125163494540466559953118592', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [-187443868067, 16099967224908], 'lmfdb_iso': '116886.o', 'lmfdb_label': '116886.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1312, 7042946], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['21252.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 40, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.057867750076842396847817850826', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2130425312544540199798259647', 'prec': 100}, 'szpiro_ratio': 3.8613786112194646, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, -2, -1, 1, -1, 1, 2, 0, 1, -3, -1, -2, 1, -3, -1, -5, -2], 'aplist': [-1, 1, -2, 1, 0, -3, -3, -5, 1, -5, -5, 0, -8, -8, 10, -3, 0, -4, -3, -5, -14, 0, -10, 16, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 116886, 'isogeny_matrix': [[1]], 'lmfdb_iso': '116886.o', 'trace_hash': 256640915191140242}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.026648225954217614735669322119', 'prec': 107}, 'conductor': 116886, 'gens': [[-173, 1535, 1], [142, 3047, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.094274509961934623822374741092', 'prec': 107}, {'__RealLiteral__': 0, 'data': '0.62486768317759668281460548668', 'prec': 103}], 'lmfdb_label': '116886.o1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.30494286050657035921129790292', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5290329093362786918902814921189866859', 'prec': 130}, 'tamagawa_product': 540, 'torsion_generators': [], 'xcoord_integral_points': [-194, -188, -173, -89, -47, -12, 103, 142, 241, 310, 547, 583, 835, 1276, 2518, 4657, 5623, 15388, 23011, 575710]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': [3, 0], '5': [6, 0], '7': [5, 0], '11': 'a', '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [3, 0], '29': [2, 0], '31': [2, 0], '37': [2, 2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '116886.o1'}
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ec_torsion_growth • Show schema
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id: 5357038
{'degree': 3, 'field': [-100, -27, 0, 1], 'lmfdb_label': '116886.o1', 'torsion': [2]}
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id: 5357039
{'degree': 6, 'field': [32400, -11880, 6762, -426, 67, -2, 1], 'lmfdb_label': '116886.o1', 'torsion': [2, 2]}
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id: 5357040
{'degree': 8, 'field': [42, 501, 1266, 571, 167, 13, 37, -4, 1], 'lmfdb_label': '116886.o1', 'torsion': [3]}
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id: 5357041
{'degree': 12, 'field': [1140707173, -1445880545, 416123228, 95580909, -52431884, 4641191, 1038778, -198865, 3412, 2469, -136, -5, 1], 'lmfdb_label': '116886.o1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 2876024
{'conductor': 116886, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '116886.o1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2876025
{'conductor': 116886, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '116886.o1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 2876026
{'conductor': 116886, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '116886.o1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 2876027
{'conductor': 116886, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '116886.o1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 2876028
{'conductor': 116886, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '116886.o1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'adelic_gens': [[15457, 2, 15457, 3], [7085, 2, 7085, 3], [18217, 2, 18217, 3], [1, 0, 2, 1], [1, 2, 0, 1], [10627, 2, 10627, 3], [1, 1, 21251, 0], [925, 2, 925, 3], [21251, 2, 21250, 3]], 'adelic_image': '21252.2.0.?', 'conductor': 116886, 'lmfdb_label': '116886.o1', 'prime': 0}
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ec_padic • Show schema
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id: 6105091
{'lmfdb_iso': '116886.o', 'p': 5, 'prec': 20, 'unit': 2117470377092, 'val': 2}
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id: 6105096
{'lmfdb_iso': '116886.o', 'p': 13, 'prec': 20, 'unit': 172568511678900133709, 'val': 2}
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id: 6105098
{'lmfdb_iso': '116886.o', 'p': 17, 'prec': 20, 'unit': 73741379907348511268066, 'val': 2}
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id: 6105099
{'lmfdb_iso': '116886.o', 'p': 19, 'prec': 20, 'unit': 255571923640552349986860, 'val': 2}
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id: 6105095
{'lmfdb_iso': '116886.o', 'p': 29, 'prec': 20, 'unit': 5268382711700186776931291933, 'val': 2}
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id: 6105104
{'lmfdb_iso': '116886.o', 'p': 31, 'prec': 20, 'unit': 5667772525692141144037628985, 'val': 2}
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id: 6105093
{'lmfdb_iso': '116886.o', 'p': 41, 'prec': 20, 'unit': 1830830369461679317593049365336, 'val': 2}
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id: 6105094
{'lmfdb_iso': '116886.o', 'p': 43, 'prec': 20, 'unit': 576586086237161489485989344728, 'val': 2}
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id: 6105097
{'lmfdb_iso': '116886.o', 'p': 47, 'prec': 20, 'unit': 10496136351933758824569516679231, 'val': 2}
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id: 6105100
{'lmfdb_iso': '116886.o', 'p': 53, 'prec': 20, 'unit': 4151136499455469751641748052422, 'val': 2}
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id: 6105103
{'lmfdb_iso': '116886.o', 'p': 61, 'prec': 20, 'unit': 4172021540995867781418823146815250, 'val': 2}
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id: 6105090
{'lmfdb_iso': '116886.o', 'p': 67, 'prec': 20, 'unit': 35172144601178808597939240893808918, 'val': 2}
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id: 6105092
{'lmfdb_iso': '116886.o', 'p': 71, 'prec': 20, 'unit': 144441205668745891377798626279717775, 'val': 2}
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id: 6105101
{'lmfdb_iso': '116886.o', 'p': 73, 'prec': 20, 'unit': 51653810728057689506731569416051343, 'val': 2}
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id: 6105089
{'lmfdb_iso': '116886.o', 'p': 83, 'prec': 20, 'unit': 1801195987210173267545984845446853506, 'val': 2}
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id: 6105102
{'lmfdb_iso': '116886.o', 'p': 89, 'prec': 20, 'unit': 10097616496770420388527893030825399955, 'val': 2}
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id: 6105088
{'lmfdb_iso': '116886.o', 'p': 97, 'prec': 20, 'unit': 26467260341039171226919549562445916014, 'val': 2}