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ec_curvedata • Show schema
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{'Ciso': '463680b', 'Clabel': '463680b1', 'Cnumber': 1, 'abc_quality': 0.9135126117444371, 'absD': 299592532969390080, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 19320, 'ainvs': [0, 0, 0, -590988, 172876048], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 463680, 'degree': 5308416, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1611071698841547190206713031', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [119451676585249, 1567702080], 'lmfdb_iso': '463680.b', 'lmfdb_label': '463680.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1026, 12420], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.14', '184.6.0.?', '210.24.0.?', '276.24.0.?', '552.48.0.?', '840.48.0.?', '9660.48.0.?', '19320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3642230107400161902915013960', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57208025471018190919720050245', 'prec': 103}, 'szpiro_ratio': 3.9459227062079605, '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, -1, 0, -1, 0, 0, 0, -6, 0, -2, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, -1, -1, -6, -2, 0, 2, -1, 0, -2, -2, 6, -10, -6, 6, -12, 10, -10, 6, 2, -8, -6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 463680, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '463680.b', 'trace_hash': 1309760430052837964}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.013270465664011301033522885940', 'prec': 107}, 'conductor': 463680, 'gens': [[738, 11776, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3642230107400161902915013960', 'prec': 100}], 'lmfdb_label': '463680.b4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30803240241487764085899571113', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1451587850306395625349838531529325359', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[482, 0, 1]], 'xcoord_integral_points': [482, 738, 896]}
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lmfdb_label 463680.b4 does not appear in ec_iwasawa
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lmfdb_label 463680.b4 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11433375
{'conductor': 463680, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '463680.b4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11433376
{'conductor': 463680, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '463680.b4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 11433377
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '463680.b4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11433378
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '463680.b4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11433379
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '463680.b4', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4512790
{'adelic_gens': [[11, 2, 19270, 19311], [1, 0, 12, 1], [1, 6, 6, 37], [3214, 19309, 12891, 20], [9659, 19308, 19314, 19247], [19309, 12, 19308, 13], [8290, 3, 2733, 19312], [1, 12, 0, 1], [6721, 12, 1686, 73], [801, 4022, 15274, 18499], [10, 3, 7701, 19312]], 'adelic_image': '19320.96.1.?', 'conductor': 463680, 'lmfdb_label': '463680.b4', 'prime': 0}
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id: 1544018
{'conductor': 463680, 'elladic_image': '2.3.0.1', 'lmfdb_label': '463680.b4', 'modell_image': '2B', 'prime': 2}
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id: 1544019
{'conductor': 463680, 'elladic_image': '3.4.0.1', 'lmfdb_label': '463680.b4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 463680.b does not appear in ec_padic