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ec_curvedata • Show schema
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{'Ciso': '189618j', 'Clabel': '189618j1', 'Cnumber': 1, 'abc_quality': 1.1208772544689187, 'absD': 181143240095886555472128, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 29172, 'ainvs': [1, 0, 0, -16955013, 17399039553], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 189618, 'degree': 25546752, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1652343539158897866243818730', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [111675519439697265625, 37528570137307392], 'lmfdb_iso': '189618.br', 'lmfdb_label': '189618.br3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -100326, 7911736], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.1', '66.24.0.b.1', '68.6.0.b.1', '78.24.0.?', '204.24.0.?', '858.48.0.?', '2244.48.1.?', '2652.48.0.?', '29172.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8827596751851214185976381522', 'prec': 100}, 'szpiro_ratio': 5.064840488188031, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 0, 1, 4, 1, 1, 0, -1, 1, 0, 4, 0, 1, 1, 1, -2, 0], 'aplist': [1, 1, 0, 4, -1, 0, 1, -2, 0, -6, -8, -2, 6, 2, 6, 6, -6, -4, 16, -12, 4, 8, 12, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 189618, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '189618.br', 'trace_hash': 479121244759153208}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0017811987116316939332072641543', 'prec': 110}, 'conductor': 189618, 'gens': [], 'heights': [], 'lmfdb_label': '189618.br3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.093235885250082514925433577344', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7129837380059410746312175687667812176', 'prec': 130}, 'tamagawa_product': 288, 'torsion_generators': [[1106, -553, 1]], 'xcoord_integral_points': [1106]}
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lmfdb_label 189618.br3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8353783
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '189618.br3', 'torsion': [2, 2]}
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id: 8353784
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '189618.br3', 'torsion': [6]}
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id: 8353786
{'degree': 4, 'field': [25, 0, -23, 0, 1], 'lmfdb_label': '189618.br3', 'torsion': [2, 6]}
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id: 8353785
{'degree': 4, 'field': [1096, 160, 62, -2, 1], 'lmfdb_label': '189618.br3', 'torsion': [4]}
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id: 8353787
{'degree': 6, 'field': [12, 12, -8, -9, 7, -3, 1], 'lmfdb_label': '189618.br3', 'torsion': [6]}
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id: 8353790
{'degree': 8, 'field': [2721, 2142, -532, -646, 157, -34, 12, 0, 1], 'lmfdb_label': '189618.br3', 'torsion': [12]}
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id: 8353788
{'degree': 8, 'field': [16384, 0, 11804, 0, -9, 0, -52, 0, 1], 'lmfdb_label': '189618.br3', 'torsion': [2, 4]}
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id: 8353789
{'degree': 8, 'field': [2689384, -215696, 240054, -34034, 5453, -442, 88, 0, 1], 'lmfdb_label': '189618.br3', 'torsion': [2, 4]}
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id: 8353791
{'degree': 12, 'field': [144, 144, 240, 120, 88, -132, 197, -99, 30, -3, 2, -3, 1], 'lmfdb_label': '189618.br3', 'torsion': [3, 6]}
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id: 8353792
{'degree': 12, 'field': [467856, 0, -366864, 0, 104704, 0, -11665, 0, 843, 0, -43, 0, 1], 'lmfdb_label': '189618.br3', 'torsion': [2, 6]}
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id: 8353794
{'degree': 16, 'field': [55488, 155040, -11424, -223464, -31532, 129280, 20498, -40572, -5117, 7064, 1258, -916, -272, 168, -4, -8, 1], 'lmfdb_label': '189618.br3', 'torsion': [2, 12]}
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id: 8353795
{'degree': 16, 'field': [30924292, -70549388, 45734518, 31822366, -35124259, -8300744, 6603150, 1664008, 190334, 118910, 11382, 1820, 1226, 32, -8, -4, 1], 'lmfdb_label': '189618.br3', 'torsion': [2, 12]}
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id: 8353793
{'degree': 16, 'field': [983290912964, 1183531721136, 566829255768, 110138420336, 8255004064, 2800687032, 1865641220, 251018464, 7212405, -103904, 109528, -31824, -1354, -136, -36, 0, 1], 'lmfdb_label': '189618.br3', 'torsion': [8]}
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id: 8353796
{'degree': 18, 'field': [3717757743317712, 430046487181152, -341485055862768, 109852957535580, 173702735101116, 42400724720490, 14703993945575, 2627385578022, 120305799834, -68742021779, -7874046090, 862282098, 36381993, -6610860, 156078, 16484, -699, -3, 1], 'lmfdb_label': '189618.br3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 4693881
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '189618.br3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 4693882
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '189618.br3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 4693883
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '189618.br3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4693884
{'conductor': 189618, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '189618.br3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 4693885
{'conductor': 189618, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '189618.br3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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ec_galrep • Show schema
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id: 2881843
{'adelic_gens': [[17951, 0, 0, 29171], [21698, 22451, 26169, 2224], [1, 0, 12, 1], [25741, 11232, 28782, 9049], [1, 6, 6, 37], [13066, 24687, 27105, 13456], [29161, 12, 29160, 13], [1, 12, 0, 1], [11, 2, 29122, 29163], [7671, 27118, 24518, 23765]], 'adelic_image': '29172.96.1.?', 'conductor': 189618, 'lmfdb_label': '189618.br3', 'prime': 0}
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id: 707633
{'conductor': 189618, 'elladic_image': '2.3.0.1', 'lmfdb_label': '189618.br3', 'modell_image': '2B', 'prime': 2}
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id: 707634
{'conductor': 189618, 'elladic_image': '3.4.0.1', 'lmfdb_label': '189618.br3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 189618.br does not appear in ec_padic