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ec_curvedata • Show schema
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{'Ciso': '102c', 'Clabel': '102c2', 'Cnumber': 2, 'abc_quality': 1.0188378451820035, 'absD': 1228691592, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 1, -216, 2062], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 102, 'degree': 48, 'elladic_images': ['8.6.0.5', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43869376662733746355917130016', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1107111813625, 1228691592], 'lmfdb_iso': '102.b', 'lmfdb_label': '102.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -216, 2062], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.a.1', '24.48.0-24.p.1.15', '68.6.0.c.1', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43869376662733746355917130016', 'prec': 103}, 'szpiro_ratio': 6.227840566657582, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 0, -1, 2, -1, 1, 0, 0, 1, 2, -2, 0, 1, -1, -1, -4, 0], 'aplist': [-1, 1, 0, 2, 0, 2, -1, -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': 102, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '102.b', 'trace_hash': 1834044102859205000}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.41586793492133917640323298012', 'prec': 103}, 'conductor': 102, 'gens': [], 'heights': [], 'lmfdb_label': '102.b3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3930324921905334731674095343', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.92868832812702231544493968952761090912', 'prec': 133}, 'tamagawa_product': 24, 'torsion_generators': [[20, 66, 1]], 'xcoord_integral_points': [2, 20]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 1], '3': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '102.b3'}
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ec_torsion_growth • Show schema
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id: 3865
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '102.b3', 'torsion': [2, 6]}
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id: 3866
{'degree': 4, 'field': [-2, 0, 3, 0, 1], 'lmfdb_label': '102.b3', 'torsion': [12]}
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id: 3867
{'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '102.b3', 'torsion': [3, 6]}
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id: 3868
{'degree': 8, 'field': [4, 0, 16, 0, 14, 0, -8, 0, 1], 'lmfdb_label': '102.b3', 'torsion': [2, 12]}
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id: 3869
{'degree': 8, 'field': [81, 0, 54, 0, 10, 0, 6, 0, 1], 'lmfdb_label': '102.b3', 'torsion': [2, 12]}
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id: 3870
{'degree': 9, 'field': [24, 0, -90, -17, 96, -39, 5, 6, -3, 1], 'lmfdb_label': '102.b3', 'torsion': [18]}
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id: 3871
{'degree': 12, 'field': [900, 0, 2292, 0, 493, 0, 362, 0, 51, 0, 14, 0, 1], 'lmfdb_label': '102.b3', 'torsion': [6, 6]}
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id: 3872
{'degree': 16, 'field': [369664, 0, 366080, 0, 42896, 0, -5904, 0, 236, 0, -504, 0, 14, 0, -4, 0, 1], 'lmfdb_label': '102.b3', 'torsion': [24]}
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id: 3873
{'degree': 18, 'field': [297432, -478224, 713772, -702672, 654858, -521892, 355121, -211188, 103704, -47026, 17757, -5796, 1659, -630, 360, -122, 39, -6, 1], 'lmfdb_label': '102.b3', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 655
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '102.b3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 656
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '102.b3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 657
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '102.b3', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1666179
{'adelic_gens': [[10, 3, 177, 400], [241, 12, 222, 73], [397, 12, 396, 13], [1, 0, 12, 1], [18, 97, 221, 290], [11, 2, 358, 399], [1, 6, 6, 37], [281, 2, 126, 13], [1, 12, 0, 1]], 'adelic_image': '408.96.1.?', 'conductor': 102, 'lmfdb_label': '102.b3', 'prime': 0}
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id: 364
{'conductor': 102, 'elladic_image': '8.6.0.5', 'lmfdb_label': '102.b3', 'modell_image': '2B', 'prime': 2}
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id: 365
{'conductor': 102, 'elladic_image': '3.8.0.1', 'lmfdb_label': '102.b3', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 102.b does not appear in ec_padic