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ec_curvedata • Show schema
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{'Ciso': '102b', 'Clabel': '102b1', 'Cnumber': 1, 'absD': 352512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [1, 0, 0, -34, 68], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 16, 'elladic_images': ['16.96.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112550', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 352512], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, 68], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112550', 'prec': 107}, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -2, 1, 0, 1, 1, -2, -4, 1, -2, 0, -2, 1, 1, 1, 4, -2], 'aplist': [1, 1, -2, 0, -4, -2, 1, 4, 0, -10, 8, -2, 10, 12, 0, 6, 12, -10, -12, 0, 10, -8, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 102, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '102.c', 'trace_hash': 2057986112349787613}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.4700331776955846891214543730', 'prec': 100}, 'conductor': 102, 'gens': [], 'heights': [], 'lmfdb_label': '102.c5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.9593558555889564231619450877', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4796779277944782115809725438385371926', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2, 2, 1]], 'xcoord_integral_points': [-4, 2, 4, 8]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '102.c5'}
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ec_torsion_growth • Show schema
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id: 3765
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 8]}
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id: 3766
{'degree': 4, 'field': [6, 0, 7, -2, 1], 'lmfdb_label': '102.c5', 'torsion': [16]}
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id: 3768
{'degree': 8, 'field': [-288, 576, 48, -576, 178, 104, -37, -2, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 16]}
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id: 3770
{'degree': 8, 'field': [-24, -12, 30, -37, 22, -7, 7, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [24]}
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id: 3767
{'degree': 8, 'field': [16, 8, 2, -22, 17, -10, 8, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [4, 8]}
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id: 3769
{'degree': 8, 'field': [64, 64, -40, 24, 50, -36, 11, -2, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 16]}
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id: 3771
{'degree': 16, 'field': [256, 0, -64, 0, 432, 0, 772, 0, 440, 0, 193, 0, 27, 0, -1, 0, 1], 'lmfdb_label': '102.c5', 'torsion': [4, 16]}
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id: 3773
{'degree': 16, 'field': [256, 256, -448, 1360, 1872, -2204, -1296, 412, -764, 528, 76, -53, -28, 21, -1, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 24]}
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id: 3772
{'degree': 16, 'field': [10386, -128376, 372564, 487512, -562329, -73188, 305010, -223908, 105409, -28720, 3280, 32, -131, 92, -14, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [32]}
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ec_localdata • Show schema
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id: 634
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '102.c5', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 635
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '102.c5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 636
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '102.c5', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1666185
{'adelic_gens': [[257, 16, 256, 17], [1, 16, 0, 1], [5, 4, 268, 269], [24, 1, 271, 10], [15, 2, 174, 259], [1, 0, 16, 1], [1, 16, 68, 69], [113, 16, 234, 223]], 'adelic_image': '272.192.1.?', 'conductor': 102, 'lmfdb_label': '102.c5', 'prime': 0}
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id: 372
{'conductor': 102, 'elladic_image': '16.96.0.97', 'lmfdb_label': '102.c5', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 102.c does not appear in ec_padic