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ec_curvedata • Show schema
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{'Ciso': '86640bk', 'Clabel': '86640bk1', 'Cnumber': 1, 'abc_quality': 0.9957719652216178, 'absD': 21883154349194792140800, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, -1, 0, -29564576, -62271777024], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 86640, 'degree': 7223040, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1164045218452201553515789267', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-41081844659329, 314572800], 'lmfdb_iso': '86640.l', 'lmfdb_label': '86640.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5118, -144012], 'min_quad_twist_disc': 76, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], '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': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46029802184098120592832851732', 'prec': 103}, 'szpiro_ratio': 5.561626845497348, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -2, 0, -3, 0, 1, 0, 4, 0, 0, 0], 'aplist': [0, -1, -1, 1, -2, -3, 4, 0, 6, -10, -1, -5, 2, 5, 0, -12, 2, 5, 5, 0, 11, 11, -2, 0, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 86640, 'isogeny_matrix': [[1]], 'lmfdb_iso': '86640.l', 'trace_hash': 1975973913862671030}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0019639273831484052450318821348', 'prec': 110}, 'conductor': 86640, 'gens': [], 'heights': [], 'lmfdb_label': '86640.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.032357732086034989118253506884', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0354474267531196517841122202986640729', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': [2, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': 'a', '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '86640.l1'}
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ec_torsion_growth • Show schema
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id: 4058279
{'degree': 3, 'field': [-12, -6, -1, 1], 'lmfdb_label': '86640.l1', 'torsion': [2]}
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id: 4058280
{'degree': 6, 'field': [12, 6, -5, -3, 4, -3, 1], 'lmfdb_label': '86640.l1', 'torsion': [2, 2]}
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id: 4058281
{'degree': 8, 'field': [-9408, 0, 676, 0, 336, 0, 0, 0, 1], 'lmfdb_label': '86640.l1', 'torsion': [3]}
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id: 4058282
{'degree': 12, 'field': [-10800, 0, 2907, 0, -657, 0, -285, 0, 105, 0, -19, 0, 1], 'lmfdb_label': '86640.l1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 2114401
{'conductor': 86640, 'conductor_valuation': 4, 'discriminant_valuation': 34, 'j_denominator_valuation': 22, 'kodaira_symbol': -30, 'lmfdb_label': '86640.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2114402
{'conductor': 86640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '86640.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2114403
{'conductor': 86640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '86640.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2114404
{'conductor': 86640, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '86640.l1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 86640, 'lmfdb_label': '86640.l1', 'prime': 0}
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lmfdb_iso 86640.l does not appear in ec_padic
