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ec_curvedata • Show schema
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{'Ciso': '7488cc', 'Clabel': '7488cc1', 'Cnumber': 1, 'abc_quality': 1.037904102991589, 'absD': 96843413541888, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -23448, 1298360], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7488, 'degree': 30720, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4322652868617455293284109499', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2], 'jinv': [1909913257984, 129730653], 'lmfdb_iso': '7488.cc', 'lmfdb_label': '7488.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -651, 6228], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30533649206106959244976156356', 'prec': 103}, 'szpiro_ratio': 4.685680676047238, '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, 4, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, 0, 4, 0, 2, 1, -2, 8, 4, -6, 4, -6, 12, 4, -6, -2, 14, -10, -4, 2, -2, 8, -14, 0, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 7488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7488.cc', 'trace_hash': 1992690436340131207}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.057009886790518419705358697558', 'prec': 107}, 'conductor': 7488, 'gens': [], 'heights': [], 'lmfdb_label': '7488.cc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.58855312407277737988009263214', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5313187444366642792805557928456558289', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[70, 0, 1]], 'xcoord_integral_points': [70]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '7488.cc1'}
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ec_torsion_growth • Show schema
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id: 394408
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '7488.cc1', 'torsion': [2, 2]}
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id: 394409
{'degree': 4, 'field': [52, 0, 14, 0, 1], 'lmfdb_label': '7488.cc1', 'torsion': [4]}
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id: 394412
{'degree': 8, 'field': [-3, 0, 6, 0, 18, 0, 4, 0, 1], 'lmfdb_label': '7488.cc1', 'torsion': [6]}
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id: 394410
{'degree': 8, 'field': [81, 0, -672, 0, -245, 0, -14, 0, 1], 'lmfdb_label': '7488.cc1', 'torsion': [2, 4]}
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id: 394411
{'degree': 8, 'field': [144, 0, -24, 0, 16, 0, 2, 0, 1], 'lmfdb_label': '7488.cc1', 'torsion': [2, 4]}
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id: 394413
{'degree': 16, 'field': [1, 0, -10, 0, 115, 0, -370, 0, 529, 0, -370, 0, 115, 0, -10, 0, 1], 'lmfdb_label': '7488.cc1', 'torsion': [8]}
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id: 394414
{'degree': 16, 'field': [167007, 154608, -126090, -54576, 21954, 4896, -1276, 3424, -4275, 468, 1508, -624, -78, 56, 12, -8, 1], 'lmfdb_label': '7488.cc1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 154873
{'conductor': 7488, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7488.cc1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 154874
{'conductor': 7488, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '7488.cc1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 154875
{'conductor': 7488, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '7488.cc1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1713571
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 7488, 'lmfdb_label': '7488.cc1', 'prime': 0}
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id: 36948
{'conductor': 7488, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7488.cc1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 7488.cc does not appear in ec_padic