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ec_curvedata • Show schema
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{'Ciso': '21964c', 'Clabel': '21964c1', 'Cnumber': 1, 'abc_quality': 1.079033149175526, 'absD': 117405135616, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, 1, 0, -6165, -189113], 'analytic_rank': 0, 'bad_primes': [2, 17, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 21964, 'degree': 30240, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97567589908611074300028426551', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-4194304, 19], 'lmfdb_iso': '21964.a', 'lmfdb_label': '21964.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -21, -31], 'min_quad_twist_disc': 17, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, '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': '-0.90302889331529417006930445773', 'prec': 107}, 'szpiro_ratio': 3.781223132828214, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 1, 0, 3, 0, 1, 0, -5, 0, -4, 0, -2, 0, 0, 0, -1, 0], 'aplist': [0, -2, 1, 3, -5, -4, 0, -1, -8, 2, -4, -10, -10, 1, -1, -4, 6, 13, -12, -2, -9, -8, -12, 12, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 21964, 'isogeny_matrix': [[1]], 'lmfdb_iso': '21964.a', 'trace_hash': 369529135538913523}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14208187569088618557763138070', 'prec': 103}, 'conductor': 21964, 'gens': [], 'heights': [], 'lmfdb_label': '21964.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26931634727304341626635828466', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.26931634727304341626635828466384635656', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': [4, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': 'a', '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '21964.a1'}
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ec_torsion_growth • Show schema
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id: 1116301
{'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '21964.a1', 'torsion': [2]}
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id: 1116302
{'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '21964.a1', 'torsion': [2, 2]}
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id: 1116303
{'degree': 8, 'field': [-5508, -3672, 3810, -3201, 324, -107, -15, 0, 1], 'lmfdb_label': '21964.a1', 'torsion': [3]}
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id: 1116304
{'degree': 12, 'field': [-8515772, 5203920, 96384, -172688, 27928, -56972, 17792, 2104, -1538, 148, 12, -6, 1], 'lmfdb_label': '21964.a1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 501218
{'conductor': 21964, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '21964.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 501219
{'conductor': 21964, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '21964.a1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 501220
{'conductor': 21964, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '21964.a1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 21964, 'lmfdb_label': '21964.a1', 'prime': 0}
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lmfdb_iso 21964.a does not appear in ec_padic
