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ec_curvedata • Show schema
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{'Ciso': '130050fv', 'Clabel': '130050fv2', 'Cnumber': 2, 'abc_quality': 1.0188378451820035, 'absD': 337818919867201081125000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -14014242, -34489230084], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 130050, 'degree': 15925248, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2093255392065505366819408942', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1107111813625, 1228691592], 'lmfdb_iso': '130050.cu', 'lmfdb_label': '130050.cu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -216, 2062], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '60.24.0-6.a.1.9', '68.6.0.c.1', '120.48.0.?', '136.12.0.?', '204.24.0.?', '255.8.0.?', '408.48.1.?', '510.24.0.?', '1020.48.0.?', '2040.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43869376662733746355917130019', 'prec': 103}, 'szpiro_ratio': 5.2694370742466665, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 2, -1, 0, 0, 0, 0, -2, -2, 0, 1, 0, 0, -4, 0], 'aplist': [-1, 0, 0, 2, 0, -2, 0, -4, 6, 0, 10, 8, 6, 4, 12, 6, 12, -8, 4, 6, 2, 10, 12, 18, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 130050, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '130050.cu', 'trace_hash': 478089912911773669}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0016308546467503497113852273730', 'prec': 110}, 'conductor': 130050, 'gens': [], 'heights': [], 'lmfdb_label': '130050.cu3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.037389882029476824108987668125', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6920715061223313358471121050241019329', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[18531, -18531, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [8, 1], '3': 'a', '5': 'a', '17': 'a'}, 'iwp0': 5, 'lmfdb_label': '130050.cu3'}
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ec_torsion_growth • Show schema
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id: 5912355
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '130050.cu3', 'torsion': [2, 2]}
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id: 5912356
{'degree': 2, 'field': [64, -1, 1], 'lmfdb_label': '130050.cu3', 'torsion': [6]}
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id: 5912357
{'degree': 4, 'field': [-450, 0, -45, 0, 1], 'lmfdb_label': '130050.cu3', 'torsion': [4]}
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id: 5912358
{'degree': 4, 'field': [3846, -132, 133, -2, 1], 'lmfdb_label': '130050.cu3', 'torsion': [2, 6]}
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id: 5912359
{'degree': 6, 'field': [-9, 60, -42, 32, -4, -2, 1], 'lmfdb_label': '130050.cu3', 'torsion': [6]}
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id: 5912362
{'degree': 8, 'field': [76, -332, 460, -278, 195, -70, 28, -4, 1], 'lmfdb_label': '130050.cu3', 'torsion': [12]}
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id: 5912361
{'degree': 8, 'field': [36481, 0, 1926, 0, 602, 0, 54, 0, 1], 'lmfdb_label': '130050.cu3', 'torsion': [2, 4]}
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id: 5912360
{'degree': 8, 'field': [193731, 6444, 8878, 1784, 443, -64, 38, -4, 1], 'lmfdb_label': '130050.cu3', 'torsion': [2, 4]}
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id: 5912363
{'degree': 12, 'field': [81, -540, 3222, -1944, -192, -846, 958, -236, 122, -56, 8, -2, 1], 'lmfdb_label': '130050.cu3', 'torsion': [3, 6]}
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id: 5912364
{'degree': 12, 'field': [2889, -16200, 31356, -27904, 19864, -8636, 1646, 0, -144, 40, 8, -4, 1], 'lmfdb_label': '130050.cu3', 'torsion': [2, 6]}
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id: 5912367
{'degree': 16, 'field': [39064, -150912, 290968, -297528, 216474, -155356, 195326, -165504, 100009, -48072, 19246, -6096, 1744, -364, 72, -8, 1], 'lmfdb_label': '130050.cu3', 'torsion': [2, 12]}
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id: 5912365
{'degree': 16, 'field': [97298496, 0, -64976256, 0, -21668184, 0, 2943936, 0, -35567, 0, 18558, 0, 1874, 0, 78, 0, 1], 'lmfdb_label': '130050.cu3', 'torsion': [8]}
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id: 5912366
{'degree': 16, 'field': [5124555396, 0, 1605998016, 0, 281480868, 0, 28959336, 0, 1923253, 0, 94164, 0, 3478, 0, 84, 0, 1], 'lmfdb_label': '130050.cu3', 'torsion': [2, 12]}
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id: 5912368
{'degree': 18, 'field': [89142603111, -75544204743, 117468630567, -68181091245, 26214019632, -98657325, 671553687, -579381714, 62845488, -16503207, 2802312, -151452, 157792, -21048, 1626, -380, 15, -6, 1], 'lmfdb_label': '130050.cu3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 3207392
{'conductor': 130050, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '130050.cu3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3207393
{'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '130050.cu3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3207394
{'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '130050.cu3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 3207395
{'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '130050.cu3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2511164
{'adelic_gens': [[1759, 1630, 690, 1619], [1223, 0, 0, 2039], [11, 2, 1990, 2031], [826, 1635, 585, 1216], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [1799, 1620, 1410, 1559], [2029, 12, 2028, 13], [426, 505, 1445, 1106]], 'adelic_image': '2040.96.1.?', 'conductor': 130050, 'lmfdb_label': '130050.cu3', 'prime': 0}
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id: 506559
{'conductor': 130050, 'elladic_image': '8.6.0.5', 'lmfdb_label': '130050.cu3', 'modell_image': '2B', 'prime': 2}
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id: 506560
{'conductor': 130050, 'elladic_image': '3.4.0.1', 'lmfdb_label': '130050.cu3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 130050.cu does not appear in ec_padic