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ec_curvedata • Show schema
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{'Ciso': '4598g', 'Clabel': '4598g1', 'Cnumber': 1, 'abc_quality': 1.1295349293708683, 'absD': 521320798592, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 152, 'ainvs': [1, -1, 0, -5407, 158285], 'analytic_rank': 0, 'bad_primes': [2, 11, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4598, 'degree': 16632, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0265613986968283871242597785', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [-81563625, 2432], 'lmfdb_iso': '4598.k', 'lmfdb_label': '4598.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -45, -107], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['152.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57203544983541864225036927348', 'prec': 107}, 'szpiro_ratio': 4.440723818857631, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 3, 1, 0, -3, 0, -1, 6, 0, 0, 3, -7, 0, 0, 1, 7, -6, -1, 0], 'aplist': [-1, 3, 0, 0, 0, -7, 7, -1, 8, 9, 2, 3, -10, 10, 3, 5, 4, -6, -3, 2, -3, 14, -6, 6, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 4598, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4598.k', 'trace_hash': 1140517009205363782}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12833351761612904947189863764', 'prec': 103}, 'conductor': 4598, 'gens': [], 'heights': [], 'lmfdb_label': '4598.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.92364715605797744635857581367', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7709414681739323390757274410076087017', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [2, 2, 0], '5': [0, 0, 0], '7': [0, 0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [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': '4598.k1'}
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ec_torsion_growth • Show schema
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id: 239529
{'degree': 3, 'field': [46, -18, -1, 1], 'lmfdb_label': '4598.k1', 'torsion': [2]}
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id: 239530
{'degree': 6, 'field': [38, 0, 93, 0, 64, 0, 1], 'lmfdb_label': '4598.k1', 'torsion': [2, 2]}
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id: 239531
{'degree': 8, 'field': [-176, -163, 112, 101, -47, -7, 7, -4, 1], 'lmfdb_label': '4598.k1', 'torsion': [3]}
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id: 239532
{'degree': 12, 'field': [473582, 267164, 8305, 31254, 19127, 41284, -2531, -3602, -595, 172, 21, -6, 1], 'lmfdb_label': '4598.k1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 87706
{'conductor': 4598, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '4598.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 87707
{'conductor': 4598, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '4598.k1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 87708
{'conductor': 4598, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4598.k1', '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': [[77, 2, 77, 3], [1, 2, 0, 1], [1, 1, 151, 0], [97, 2, 97, 3], [1, 0, 2, 1], [151, 2, 150, 3], [39, 2, 0, 1]], 'adelic_image': '152.2.0.?', 'conductor': 4598, 'lmfdb_label': '4598.k1', 'prime': 0}
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lmfdb_iso 4598.k does not appear in ec_padic