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ec_curvedata • Show schema
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{'Ciso': '430950o', 'Clabel': '430950o1', 'Cnumber': 1, 'abc_quality': 0.8713004589146935, 'absD': 31201700078250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 884, 'ainvs': [1, 1, 0, -86700, 4896000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 430950, 'degree': 3096576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8611584028900262268831366703', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [955671625, 413712], 'lmfdb_iso': '430950.o', 'lmfdb_label': '430950.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -21, 16], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '34.6.0.a.1', '52.6.0.c.1', '884.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5525531518474415622704024329', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22603523205779232844398671710', 'prec': 107}, 'szpiro_ratio': 3.524367116032265, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, -2, -1, 1, 0, 2, -1, 0, 2, 0, 1, -1, -1, 4, 0], 'aplist': [-1, -1, 0, -2, 2, 0, -1, 4, -4, -2, 2, -8, 0, 4, 0, 6, 0, 2, 4, 10, -12, 8, 12, 6, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 430950, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '430950.o', 'trace_hash': 2249603430865794718}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.024177887437704014515007582522', 'prec': 107}, 'conductor': 430950, 'gens': [[5, 2110, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5525531518474415622704024329', 'prec': 100}], 'lmfdb_label': '430950.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33418253864659890094712553661', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1506892293452525738620763706989969128', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-320, 160, 1]], 'xcoord_integral_points': [-320, 5, 356, 409]}
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lmfdb_label 430950.o2 does not appear in ec_iwasawa
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lmfdb_label 430950.o2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10641734
{'conductor': 430950, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '430950.o2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 10641735
{'conductor': 430950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '430950.o2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 10641736
{'conductor': 430950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '430950.o2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10641737
{'conductor': 430950, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '430950.o2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 10641738
{'conductor': 430950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '430950.o2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 4324062
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [881, 4, 880, 5], [210, 1, 779, 0], [613, 4, 342, 9], [665, 222, 220, 663]], 'adelic_image': '884.12.0.?', 'conductor': 430950, 'lmfdb_label': '430950.o2', 'prime': 0}
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id: 1449598
{'conductor': 430950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '430950.o2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 430950.o does not appear in ec_padic