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ec_curvedata • Show schema
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{'Ciso': '129285ba', 'Clabel': '129285ba1', 'Cnumber': 1, 'abc_quality': 1.0306643169101792, 'absD': 69048058970475, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 102, 'ainvs': [0, 0, 1, -8112, 488790], 'analytic_rank': 1, 'bad_primes': [3, 5, 13, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 129285, 'degree': 262656, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3495365797466236912969746910', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3], 'jinv': [-2835349504, 3316275], 'lmfdb_iso': '129285.ba', 'lmfdb_label': '129285.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -901, -18404], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '102.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53478985063430213768477190195', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.054752683741276733085143741316', 'prec': 110}, 'szpiro_ratio': 3.37496039985679, '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, 2, 0, 0, 0, 3, 0, 0, 0, 0, 4, -1, 0, -1, -2], 'aplist': [0, 0, 1, 2, 3, 0, -1, -1, 0, 9, -4, 2, -3, -7, -6, -12, 6, 8, -1, 0, -4, 14, -12, -18, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 129285, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '129285.ba', 'trace_hash': 169177715935962969}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.067267830406041667821654566009', 'prec': 107}, 'conductor': 129285, 'gens': [[-52, 877, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.53478985063430213768477190195', 'prec': 103}], 'lmfdb_label': '129285.ba2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.55898605391793923414530447643', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.1745616387543844225713507515073177872', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [-52, 104]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 3, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '129285.ba2'}
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ec_torsion_growth • Show schema
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id: 5875039
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [3]}
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id: 5875040
{'degree': 3, 'field': [-105, -17, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [2]}
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id: 5875041
{'degree': 3, 'field': [12, 22, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [3]}
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id: 5875043
{'degree': 6, 'field': [144, 264, 496, -46, -21, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [3, 3]}
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id: 5875042
{'degree': 6, 'field': [9555, -273, 1612, -79, 48, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [2, 2]}
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id: 5875044
{'degree': 6, 'field': [11025, 1785, 184, 227, 18, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [6]}
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id: 5875045
{'degree': 9, 'field': [-1620, -360, -360, 1908, -714, 16, -77, 23, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [6]}
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id: 5875046
{'degree': 12, 'field': [-4897875, 16279600, -10878100, -10714990, -487245, 1272204, 237336, -2636, 1733, 644, -40, -2, 1], 'lmfdb_label': '129285.ba2', 'torsion': [4]}
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id: 5875047
{'degree': 12, 'field': [38416, -109760, 311248, -5544, 3756, -30472, 165, -455, 714, 33, 28, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [2, 6]}
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id: 5875049
{'degree': 18, 'field': [2624400, 583200, -453600, 6311520, -340200, -1226880, 3638664, -1360332, 433368, 277728, -97526, 29344, 8663, -2453, 436, 131, -22, -1, 1], 'lmfdb_label': '129285.ba2', 'torsion': [3, 6]}
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id: 5875050
{'degree': 18, 'field': [4829259375, 3128795625, -2575746125, -1100935650, 534285600, 28249350, -23134350, 9785550, -44085, -1496871, 184279, 75774, -23016, 4284, -204, -204, 51, -9, 1], 'lmfdb_label': '129285.ba2', 'torsion': [2, 6]}
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id: 5875048
{'degree': 18, 'field': [241903634569, 130296474366, -50689363374, 148260523436, 83101469385, -19197293694, 6247114502, -1269753111, 332641302, -55037824, 11676102, -1432584, 210965, -32163, 5727, -649, 54, -3, 1], 'lmfdb_label': '129285.ba2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 3186551
{'conductor': 129285, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '129285.ba2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3186552
{'conductor': 129285, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '129285.ba2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 3186553
{'conductor': 129285, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '129285.ba2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
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id: 3186554
{'conductor': 129285, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '129285.ba2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2505998
{'adelic_gens': [[37, 6, 9, 19], [1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [84, 11, 65, 66], [97, 6, 96, 7], [1, 6, 0, 1]], 'adelic_image': '102.16.0.?', 'conductor': 129285, 'lmfdb_label': '129285.ba2', 'prime': 0}
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id: 503343
{'conductor': 129285, 'elladic_image': '3.8.0.2', 'lmfdb_label': '129285.ba2', 'modell_image': '3B.1.2', 'prime': 3}
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ec_padic • Show schema
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id: 6779110
{'lmfdb_iso': '129285.ba', 'p': 7, 'prec': 20, 'unit': 4895005597970353, 'val': 1}
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id: 6779115
{'lmfdb_iso': '129285.ba', 'p': 11, 'prec': 20, 'unit': 38799097940659935470, 'val': 1}
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id: 6779117
{'lmfdb_iso': '129285.ba', 'p': 19, 'prec': 20, 'unit': 479476007548906987837149, 'val': 1}
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id: 6779113
{'lmfdb_iso': '129285.ba', 'p': 29, 'prec': 20, 'unit': 177102020437875671931380858, 'val': 1}
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id: 6779123
{'lmfdb_iso': '129285.ba', 'p': 31, 'prec': 20, 'unit': 7315855716836639929158809190, 'val': 1}
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id: 6779109
{'lmfdb_iso': '129285.ba', 'p': 37, 'prec': 20, 'unit': 125750950882481925270248010861, 'val': 1}
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id: 6779111
{'lmfdb_iso': '129285.ba', 'p': 41, 'prec': 20, 'unit': 2661082232283438977132483719309, 'val': 1}
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id: 6779112
{'lmfdb_iso': '129285.ba', 'p': 43, 'prec': 20, 'unit': 8216819800825645838047409155843, 'val': 1}
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id: 6779121
{'lmfdb_iso': '129285.ba', 'p': 47, 'prec': 20, 'unit': 38103731830040098825467437668466, 'val': 1}
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id: 6779118
{'lmfdb_iso': '129285.ba', 'p': 53, 'prec': 20, 'unit': 341577095160451549143013589157731, 'val': 1}
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id: 6779116
{'lmfdb_iso': '129285.ba', 'p': 59, 'prec': 20, 'unit': 3971159318055321720216928190863562, 'val': 1}
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id: 6779122
{'lmfdb_iso': '129285.ba', 'p': 61, 'prec': 20, 'unit': 2689439140942337455086466617560687, 'val': 1}
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id: 6779108
{'lmfdb_iso': '129285.ba', 'p': 67, 'prec': 20, 'unit': 5351067493095212588391245587238852, 'val': 1}
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id: 6779119
{'lmfdb_iso': '129285.ba', 'p': 73, 'prec': 20, 'unit': 71135111902099020114056109384318342, 'val': 1}
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id: 6779114
{'lmfdb_iso': '129285.ba', 'p': 79, 'prec': 20, 'unit': 894949593826376412687989403305291489, 'val': 1}
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id: 6779107
{'lmfdb_iso': '129285.ba', 'p': 83, 'prec': 20, 'unit': 434111411938767998750888600957455342, 'val': 1}
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id: 6779120
{'lmfdb_iso': '129285.ba', 'p': 89, 'prec': 20, 'unit': 7643447316494695165691168132616216480, 'val': 1}
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id: 6779106
{'lmfdb_iso': '129285.ba', 'p': 97, 'prec': 20, 'unit': 41373702844691039218568282972531305039, 'val': 1}