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ec_curvedata • Show schema
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{'Ciso': '52416gi', 'Clabel': '52416gi2', 'Cnumber': 2, 'abc_quality': 0.946715860731643, 'absD': 130854932103168, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -2460, 552368], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52416, 'degree': 98304, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3884215731124978973494895597', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2], 'jinv': [-137842000, 10955763], 'lmfdb_iso': '52416.dr', 'lmfdb_label': '52416.dr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -68, 2580], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '52.6.0.c.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80112071961063420652216940908', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 5824], [7, 8, 7488], [13, 14, 4032]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.030443718125173523998429466205', 'prec': 107}, 'szpiro_ratio': 3.677850909295056, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 0, 1, -2, 1, 2, 0, 0, -6, -4, 2, 0, 12, 2, 6, 6, 14, -12, -10, -10, 0, 2, 4, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 52416, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '52416.dr', 'trace_hash': 349284221987505782}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.062234663328492554340812035017', 'prec': 107}, 'conductor': 52416, 'gens': [[-8, 756, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.80112071961063420652216940908', 'prec': 103}], 'lmfdb_label': '52416.dr2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48207126554893141716946956720', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1791564665627051412816665994670113008', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-92, 0, 1]], 'xcoord_integral_points': [-92, -8, 116, 181]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [2, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '52416.dr2'}
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ec_torsion_growth • Show schema
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id: 2539939
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '52416.dr2', 'torsion': [2, 2]}
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id: 2539940
{'degree': 4, 'field': [-12, 0, 2, 0, 1], 'lmfdb_label': '52416.dr2', 'torsion': [4]}
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id: 2539943
{'degree': 8, 'field': [-507, 0, -378, 0, -90, 0, 4, 0, 1], 'lmfdb_label': '52416.dr2', 'torsion': [6]}
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id: 2539941
{'degree': 8, 'field': [49, 0, 4, 0, -9, 0, -2, 0, 1], 'lmfdb_label': '52416.dr2', 'torsion': [2, 4]}
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id: 2539942
{'degree': 8, 'field': [144, 0, 24, 0, 16, 0, -2, 0, 1], 'lmfdb_label': '52416.dr2', 'torsion': [2, 4]}
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id: 2539945
{'degree': 16, 'field': [461041, 0, 371768, 0, 193252, 0, 52052, 0, 6646, 0, -304, 0, -152, 0, -4, 0, 1], 'lmfdb_label': '52416.dr2', 'torsion': [2, 6]}
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id: 2539944
{'degree': 16, 'field': [2008176, -273120, -1228800, 2354784, 369964, -1645504, 194968, 304916, -76975, -1732, 2080, -332, -430, 196, -8, -8, 1], 'lmfdb_label': '52416.dr2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1256668
{'conductor': 52416, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '52416.dr2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1256669
{'conductor': 52416, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '52416.dr2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1256670
{'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '52416.dr2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 1256671
{'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '52416.dr2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2012377
{'adelic_gens': [[1, 2, 2, 5], [145, 4, 134, 9], [106, 1, 103, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 52416, 'lmfdb_label': '52416.dr2', 'prime': 0}
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id: 224228
{'conductor': 52416, 'elladic_image': '2.3.0.1', 'lmfdb_label': '52416.dr2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 2641297
{'lmfdb_iso': '52416.dr', 'p': 11, 'prec': 20, 'unit': 4981099328255892366, 'val': 1}
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id: 2641304
{'lmfdb_iso': '52416.dr', 'p': 17, 'prec': 20, 'unit': 181408380025845466946709, 'val': 1}
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id: 2641302
{'lmfdb_iso': '52416.dr', 'p': 29, 'prec': 20, 'unit': 4484640326047016593420850814, 'val': 1}
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id: 2641310
{'lmfdb_iso': '52416.dr', 'p': 31, 'prec': 20, 'unit': 17755153946872043181563191412, 'val': 1}
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id: 2641298
{'lmfdb_iso': '52416.dr', 'p': 37, 'prec': 20, 'unit': 615512562224973178137257251684, 'val': 1}
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id: 2641301
{'lmfdb_iso': '52416.dr', 'p': 43, 'prec': 20, 'unit': 9131969083406641314777476540908, 'val': 1}
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id: 2641303
{'lmfdb_iso': '52416.dr', 'p': 47, 'prec': 20, 'unit': 12229694443989706013058872353256, 'val': 1}
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id: 2641306
{'lmfdb_iso': '52416.dr', 'p': 53, 'prec': 20, 'unit': 28898478973795325192299372424053, 'val': 1}
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id: 2641308
{'lmfdb_iso': '52416.dr', 'p': 59, 'prec': 20, 'unit': 2213275472305924780432366774586865, 'val': 1}
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id: 2641309
{'lmfdb_iso': '52416.dr', 'p': 61, 'prec': 20, 'unit': 408477621995061798319365817405802, 'val': 1}
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id: 2641296
{'lmfdb_iso': '52416.dr', 'p': 67, 'prec': 20, 'unit': 37140431130973899610485570320091477, 'val': 1}
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id: 2641299
{'lmfdb_iso': '52416.dr', 'p': 71, 'prec': 20, 'unit': 73524133086652844105849229844801940, 'val': 1}
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id: 2641300
{'lmfdb_iso': '52416.dr', 'p': 73, 'prec': 20, 'unit': 190900577729061072602667884836546146, 'val': 1}
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id: 2641305
{'lmfdb_iso': '52416.dr', 'p': 83, 'prec': 20, 'unit': 104467879601644923171523517479169567, 'val': 1}
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id: 2641307
{'lmfdb_iso': '52416.dr', 'p': 89, 'prec': 20, 'unit': 15770091540255977121874261504630026, 'val': 2}
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id: 2641295
{'lmfdb_iso': '52416.dr', 'p': 97, 'prec': 20, 'unit': 53442970957762838335991483282752635703, 'val': 1}