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ec_curvedata • Show schema
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{'Ciso': '1599c', 'Clabel': '1599c1', 'Cnumber': 1, 'abc_quality': 1.0488506769099053, 'absD': 5905358043, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 246, 'ainvs': [0, -1, 1, -9507750, -11280874648], 'analytic_rank': 0, 'bad_primes': [3, 13, 41], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1599, 'degree': 79824, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2560372578098342089416973259', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-95051071934010512925700096, 5905358043], 'lmfdb_iso': '1599.a', 'lmfdb_label': '1599.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -9507750, -11280874648], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['246.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 123], [3, 4, 13], [13, 14, 123], [41, 42, 39]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2560372578098342089416973259', 'prec': 97}, 'szpiro_ratio': 8.108360090348649, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -2, -1, 2, -4, 2, 2, 0, 1, 8, -5, -2, 1, -4, 4, -4, -7, -2, 0, -8], 'aplist': [-2, -1, -4, 2, -5, 1, -7, 0, 6, -1, -5, -11, -1, -9, -3, 6, -12, -11, -2, 3, -7, 14, 16, 10, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 1599, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1599.a', 'trace_hash': 1058775901410568499}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010975667348592198790292078516', 'prec': 97}, 'conductor': 1599, 'gens': [], 'heights': [], 'lmfdb_label': '1599.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.042988284734262942508149473850', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '0.17195313893705177003259789539692689831', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 2, 0], '3': [0, 0], '5': [2, 0], '7': [0, 0], '11': [0, 0], '13': [1, 0], '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '1599.a1'}
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ec_torsion_growth • Show schema
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id: 79584
{'degree': 3, 'field': [3, 3, -1, 1], 'lmfdb_label': '1599.a1', 'torsion': [2]}
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id: 79585
{'degree': 6, 'field': [159, -15, 22, -15, 10, -3, 1], 'lmfdb_label': '1599.a1', 'torsion': [2, 2]}
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id: 79586
{'degree': 8, 'field': [-3, 0, -5, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '1599.a1', 'torsion': [3]}
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id: 79587
{'degree': 12, 'field': [-162, -752, -1292, -1276, -64, 404, 60, -124, -28, -10, -6, 0, 1], 'lmfdb_label': '1599.a1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 24911
{'conductor': 1599, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1599.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 24912
{'conductor': 1599, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1599.a1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 24913
{'conductor': 1599, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1599.a1', 'prime': 41, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[83, 2, 83, 3], [1, 2, 0, 1], [1, 1, 245, 0], [1, 0, 2, 1], [211, 2, 211, 3], [245, 2, 244, 3]], 'adelic_image': '246.2.0.?', 'conductor': 1599, 'lmfdb_label': '1599.a1', 'prime': 0}
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lmfdb_iso 1599.a does not appear in ec_padic
