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ec_curvedata • Show schema
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{'Ciso': '51714e', 'Clabel': '51714e1', 'Cnumber': 1, 'abc_quality': 0.9480036382137452, 'absD': 353746404080752176, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 102, 'ainvs': [1, -1, 0, -2417661, 1447796533], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 51714, 'degree': 1397760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3594826200034346960753067687', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-2628062448817, 594864], 'lmfdb_iso': '51714.d', 'lmfdb_label': '51714.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1589, -25059], 'min_quad_twist_disc': -39, 'modell_images': [], 'modm_images': ['102.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10021023736168869300869252253', 'prec': 103}, 'szpiro_ratio': 5.132815284793945, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -3, 0, -2, -1, 0, 3, 5, 0, 0, 2, 0, 1, -1, 0, 4, -3], 'aplist': [-1, 0, -3, -2, 5, 0, -1, 4, 3, 3, 0, 4, -10, -1, 8, 0, 2, -8, -5, 12, 6, 4, 6, 6, 12], 'class_deg': 1, 'class_size': 1, 'conductor': 51714, 'isogeny_matrix': [[1]], 'lmfdb_iso': '51714.d', 'trace_hash': 988997104843987395}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0089244083930465083433722589989', 'prec': 110}, 'conductor': 51714, 'gens': [], 'heights': [], 'lmfdb_label': '51714.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.29484558534743583725004959898', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1793823413897433490001983959292344185', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '51714.d1'}
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ec_torsion_growth • Show schema
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id: 2504446
{'degree': 3, 'field': [12, 9, -1, 1], 'lmfdb_label': '51714.d1', 'torsion': [2]}
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id: 2504447
{'degree': 6, 'field': [697, -459, 438, 41, -18, -3, 1], 'lmfdb_label': '51714.d1', 'torsion': [2, 2]}
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id: 2504448
{'degree': 8, 'field': [-5620, 4307, -3470, -1625, 691, 143, -43, -4, 1], 'lmfdb_label': '51714.d1', 'torsion': [3]}
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id: 2504449
{'degree': 12, 'field': [444288, -571584, 272272, -67872, 27192, -14364, 1991, 84, 230, -108, -12, 0, 1], 'lmfdb_label': '51714.d1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1237644
{'conductor': 51714, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '51714.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1237645
{'conductor': 51714, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '51714.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1237646
{'conductor': 51714, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '51714.d1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1237647
{'conductor': 51714, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '51714.d1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [1, 1, 101, 0], [1, 0, 2, 1], [35, 2, 35, 3], [37, 2, 37, 3], [101, 2, 100, 3]], 'adelic_image': '102.2.0.?', 'conductor': 51714, 'lmfdb_label': '51714.d1', 'prime': 0}
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lmfdb_iso 51714.d does not appear in ec_padic