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ec_curvedata • Show schema
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{'Ciso': '296208bd', 'Clabel': '296208bd2', 'Cnumber': 2, 'abc_quality': 0.9704611331672184, 'absD': 45881869710698764959744, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -52002291, 143969997490], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 296208, 'degree': 22118400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2183466205587725374423538293', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2], 'jinv': [2940001530995593, 8673562656], 'lmfdb_iso': '296208.bd', 'lmfdb_label': '296208.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2984, -63840], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77694565926558711029652730040', 'prec': 103}, 'szpiro_ratio': 5.152388280387365, '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, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0], 'aplist': [0, 0, -2, -2, 0, 0, -1, -2, -6, 2, 0, 2, 2, -10, 4, -4, 6, 10, 12, 6, 4, -2, 12, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 296208, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '296208.bd', 'trace_hash': 609115985419220910}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0016016943502894734842942880947', 'prec': 110}, 'conductor': 296208, 'gens': [], 'heights': [], 'lmfdb_label': '296208.bd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11393802328594664747267403471', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.91150418628757317978139227769099215266', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[4334, 0, 1]], 'xcoord_integral_points': [4334]}
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lmfdb_label 296208.bd1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12547710
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '296208.bd1', 'torsion': [2, 2]}
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id: 12547711
{'degree': 4, 'field': [-6, 18, -11, -1, 1], 'lmfdb_label': '296208.bd1', 'torsion': [4]}
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id: 12547714
{'degree': 8, 'field': [-1209722, 338188, 100864, -11254, 1874, 668, 1, -2, 1], 'lmfdb_label': '296208.bd1', 'torsion': [6]}
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id: 12547713
{'degree': 8, 'field': [1089, 0, -2442, 0, 895, 0, -62, 0, 1], 'lmfdb_label': '296208.bd1', 'torsion': [2, 4]}
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id: 12547712
{'degree': 8, 'field': [70812225, 0, -2403324, 0, 37332, 0, -204, 0, 1], 'lmfdb_label': '296208.bd1', 'torsion': [2, 4]}
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id: 12547716
{'degree': 16, 'field': [-2216107049328, -4461090520032, -2489913685008, -216304273728, 46927340712, 15764511504, 880887696, -231572520, -3570452, 6599000, 350392, -70556, 2165, 1264, -62, -4, 1], 'lmfdb_label': '296208.bd1', 'torsion': [2, 6]}
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id: 12547715
{'degree': 16, 'field': [769729536, 0, -764069760, 0, 297457296, 0, -55404768, 0, 4516441, 0, -240244, 0, 8292, 0, -148, 0, 1], 'lmfdb_label': '296208.bd1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 7335081
{'conductor': 296208, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '296208.bd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7335082
{'conductor': 296208, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '296208.bd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7335083
{'conductor': 296208, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '296208.bd1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7335084
{'conductor': 296208, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '296208.bd1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3527818
{'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [2993, 4, 1498, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 2243, 0], [2114, 1, 3431, 0], [3929, 562, 560, 3927], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 296208, 'lmfdb_label': '296208.bd1', 'prime': 0}
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id: 1046149
{'conductor': 296208, 'elladic_image': '2.3.0.1', 'lmfdb_label': '296208.bd1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 296208.bd does not appear in ec_padic