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ec_curvedata • Show schema
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{'Ciso': '13860f', 'Clabel': '13860f4', 'Cnumber': 4, 'abc_quality': 0.8940591812835774, 'absD': 1562159655302400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, 0, 0, -58887, -5819634], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 13860, 'degree': 62208, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6663361439803887883983275152', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-4481782160112, 310023175], 'lmfdb_iso': '13860.t', 'lmfdb_label': '13860.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -6543, 215542], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '84.48.0.?', '660.48.0.?', '1540.6.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, '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': '0.38027880710600964690707217320', 'prec': 103}, 'szpiro_ratio': 4.6846760066106095, '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, 1, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 1, 1, -1, 2, 6, -4, 0, 6, 8, -10, -6, 8, 0, 6, -6, -4, 14, 0, 2, -10, 6, 18, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 13860, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '13860.t', 'trace_hash': 252384575430348041}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.035697583271621326130874750385', 'prec': 107}, 'conductor': 13860, 'gens': [], 'heights': [], 'lmfdb_label': '13860.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15262873048930427805800951658', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7473171488074770050441712984364638170', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[282, 0, 1]], 'xcoord_integral_points': [282]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [3, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '13860.t2'}
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ec_torsion_growth • Show schema
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id: 713223
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '13860.t2', 'torsion': [6]}
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id: 713222
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [2, 2]}
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id: 713224
{'degree': 3, 'field': [-490, 0, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [6]}
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id: 713225
{'degree': 4, 'field': [-525, 0, -45, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [4]}
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id: 713226
{'degree': 4, 'field': [49, 0, 7, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [2, 6]}
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id: 713228
{'degree': 6, 'field': [18900, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [2, 6]}
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id: 713227
{'degree': 6, 'field': [63433, -5367, 5508, -283, 144, -3, 1], 'lmfdb_label': '13860.t2', 'torsion': [3, 6]}
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id: 713231
{'degree': 8, 'field': [441, 0, -504, 0, 597, 0, 24, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [12]}
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id: 713230
{'degree': 8, 'field': [76465, 13850, 57106, -15634, 4855, -430, -20, -4, 1], 'lmfdb_label': '13860.t2', 'torsion': [2, 4]}
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id: 713229
{'degree': 8, 'field': [150040, 174416, 35272, -16000, 4096, -232, -44, -4, 1], 'lmfdb_label': '13860.t2', 'torsion': [2, 4]}
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id: 713233
{'degree': 12, 'field': [-10294287500, 0, 0, -361350500, 0, 0, -305760, 0, 0, -350, 0, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [12]}
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id: 713232
{'degree': 12, 'field': [488601, 4194, 10521, -28050, 10590, 4074, -1259, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '13860.t2', 'torsion': [6, 6]}
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id: 713236
{'degree': 16, 'field': [3381921, -28291176, 223691472, -105768936, 37777998, 1033296, -724128, -4956, 102643, 10616, -5888, -1276, 718, -64, -8, -4, 1], 'lmfdb_label': '13860.t2', 'torsion': [2, 12]}
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id: 713235
{'degree': 16, 'field': [59965200, -169882560, 201787776, -122236128, 47482176, -12582528, 2749152, -740496, 248956, -80144, 16576, -3080, 868, -224, 64, -8, 1], 'lmfdb_label': '13860.t2', 'torsion': [2, 12]}
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id: 713234
{'degree': 16, 'field': [2382392250000, 0, 1089093600000, 0, -3611790000, 0, 55566000, 0, 1997100, 0, -466200, 0, 18180, 0, -240, 0, 1], 'lmfdb_label': '13860.t2', 'torsion': [8]}
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id: 713237
{'degree': 18, 'field': [194481, -583443, 1750329, -10446408, 15614046, 388962, 139949586, 2238516, -1475145, 13378995, 88263, -106596, 342162, 882, -1818, 1128, 9, -3, 1], 'lmfdb_label': '13860.t2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 303343
{'conductor': 13860, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '13860.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 303344
{'conductor': 13860, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '13860.t2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 303345
{'conductor': 13860, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13860.t2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 303346
{'conductor': 13860, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13860.t2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 303347
{'conductor': 13860, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '13860.t2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1756121
{'adelic_gens': [[1926, 397, 1925, 386], [4609, 12, 4608, 13], [1528, 4609, 1575, 32], [1, 0, 12, 1], [1, 6, 6, 37], [3697, 12, 3702, 73], [11, 2, 4570, 4611], [1, 12, 0, 1], [1990, 3, 633, 4612], [2521, 12, 1266, 73]], 'adelic_image': '4620.96.1.?', 'conductor': 13860, 'lmfdb_label': '13860.t2', 'prime': 0}
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id: 65693
{'conductor': 13860, 'elladic_image': '2.3.0.1', 'lmfdb_label': '13860.t2', 'modell_image': '2B', 'prime': 2}
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id: 65694
{'conductor': 13860, 'elladic_image': '3.8.0.2', 'lmfdb_label': '13860.t2', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 13860.t does not appear in ec_padic