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ec_curvedata • Show schema
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{'Ciso': '51262g', 'Clabel': '51262g1', 'Cnumber': 1, 'abc_quality': 1.029678642921066, 'absD': 448321779430064128, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 568, 'ainvs': [1, -1, 1, -948054, -353601435], 'analytic_rank': 1, 'bad_primes': [2, 19, 71], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 51262, 'degree': 2326968, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2362616326843839249005050115', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [2003092024307193, 9529458688], 'lmfdb_iso': '51262.e', 'lmfdb_label': '51262.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2626, 52244], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['568.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3808811893811984620403466880', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76404214310116369489599129556', 'prec': 103}, 'szpiro_ratio': 4.8779659927172005, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -3, 1, 2, -3, -3, 1, 6, 2, -6, -3, 5, -3, -6, 1, 6, 6, 0, 2], 'aplist': [1, -3, 2, -3, -6, 5, 6, 0, 5, 2, 5, 2, -10, 1, -1, -6, 2, -2, -2, -1, 7, 6, -4, -9, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 51262, 'isogeny_matrix': [[1]], 'lmfdb_iso': '51262.e', 'trace_hash': 1300090397211238468}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011418467645998529584986800441', 'prec': 107}, 'conductor': 51262, 'gens': [[-535, 779, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3808811893811984620403466880', 'prec': 100}], 'lmfdb_label': '51262.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15304377264318354062570513607', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7060522034624352991839641761346505820', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [], 'xcoord_integral_points': [-535, 8553]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [1, 1, 0], '5': [1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '71': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '51262.e1'}
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ec_torsion_growth • Show schema
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id: 2485689
{'degree': 3, 'field': [-2, -6, -1, 1], 'lmfdb_label': '51262.e1', 'torsion': [2]}
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id: 2485690
{'degree': 6, 'field': [8, -8, -46, 72, -23, -2, 1], 'lmfdb_label': '51262.e1', 'torsion': [2, 2]}
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id: 2485691
{'degree': 8, 'field': [-8544, 4020, -858, 1851, -270, -63, -9, 0, 1], 'lmfdb_label': '51262.e1', 'torsion': [3]}
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id: 2485692
{'degree': 12, 'field': [25295813974, 8534415164, 1467251184, -410979468, 106026819, -3082494, -1646236, 38342, -19406, -266, -8, -6, 1], 'lmfdb_label': '51262.e1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1227047
{'conductor': 51262, 'conductor_valuation': 1, 'discriminant_valuation': 27, 'j_denominator_valuation': 27, 'kodaira_symbol': 31, 'lmfdb_label': '51262.e1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 27}
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id: 1227048
{'conductor': 51262, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '51262.e1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1227049
{'conductor': 51262, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '51262.e1', 'prime': 71, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[433, 2, 433, 3], [567, 2, 566, 3], [1, 0, 2, 1], [1, 2, 0, 1], [143, 2, 143, 3], [285, 2, 285, 3], [1, 1, 567, 0]], 'adelic_image': '568.2.0.?', 'conductor': 51262, 'lmfdb_label': '51262.e1', 'prime': 0}
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ec_padic • Show schema
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id: 2578569
{'lmfdb_iso': '51262.e', 'p': 5, 'prec': 20, 'unit': 17737504404537, 'val': 1}
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id: 2578570
{'lmfdb_iso': '51262.e', 'p': 7, 'prec': 20, 'unit': 7315053495145059, 'val': 1}
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id: 2578568
{'lmfdb_iso': '51262.e', 'p': 11, 'prec': 20, 'unit': 1721039789115560593, 'val': 2}
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id: 2578575
{'lmfdb_iso': '51262.e', 'p': 13, 'prec': 20, 'unit': 1327248536493256390427, 'val': 1}
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id: 2578577
{'lmfdb_iso': '51262.e', 'p': 17, 'prec': 20, 'unit': 86897374270886928995442, 'val': 1}
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id: 2578582
{'lmfdb_iso': '51262.e', 'p': 23, 'prec': 20, 'unit': 8392533715612818874156584, 'val': 1}
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id: 2578574
{'lmfdb_iso': '51262.e', 'p': 29, 'prec': 20, 'unit': 190058254056866388415877820, 'val': 2}
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id: 2578571
{'lmfdb_iso': '51262.e', 'p': 31, 'prec': 20, 'unit': 11927884824795442908971113229, 'val': 1}
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id: 2578586
{'lmfdb_iso': '51262.e', 'p': 37, 'prec': 20, 'unit': 460332554031012383191747353325, 'val': 1}
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id: 2578572
{'lmfdb_iso': '51262.e', 'p': 41, 'prec': 20, 'unit': 2671196457871898039942429589978, 'val': 1}
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id: 2578573
{'lmfdb_iso': '51262.e', 'p': 43, 'prec': 20, 'unit': 67678816944169547911643109811077, 'val': -1}
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id: 2578584
{'lmfdb_iso': '51262.e', 'p': 47, 'prec': 20, 'unit': 9181661516545832361682236281285, 'val': 1}
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id: 2578579
{'lmfdb_iso': '51262.e', 'p': 53, 'prec': 20, 'unit': 195838126487218499579436776285490, 'val': 1}
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id: 2578580
{'lmfdb_iso': '51262.e', 'p': 59, 'prec': 20, 'unit': 1913351075628841563563373468475156, 'val': 1}
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id: 2578585
{'lmfdb_iso': '51262.e', 'p': 61, 'prec': 20, 'unit': 1233240907720689984796957863612859, 'val': 1}
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id: 2578578
{'lmfdb_iso': '51262.e', 'p': 67, 'prec': 20, 'unit': 31907480102546558016561116841581311, 'val': 1}
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id: 2578581
{'lmfdb_iso': '51262.e', 'p': 73, 'prec': 20, 'unit': 89494619680347421899554551026502412, 'val': 1}
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id: 2578576
{'lmfdb_iso': '51262.e', 'p': 79, 'prec': 20, 'unit': 696249516445863729782591246988871100, 'val': 1}
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id: 2578567
{'lmfdb_iso': '51262.e', 'p': 83, 'prec': 20, 'unit': 1846966158694102113022338779364596334, 'val': 1}
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id: 2578583
{'lmfdb_iso': '51262.e', 'p': 89, 'prec': 20, 'unit': 10666329376246432515165544104626093790, 'val': 1}
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id: 2578566
{'lmfdb_iso': '51262.e', 'p': 97, 'prec': 20, 'unit': 29449461551296301102119095502545145544, 'val': 1}