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ec_curvedata • Show schema
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{'Ciso': '4830h', 'Clabel': '4830h1', 'Cnumber': 1, 'abc_quality': 1.004102189160217, 'absD': 918925030195200000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 19320, 'ainvs': [1, 0, 1, -287409, 37259332], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4830, 'degree': 72000, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1482502101170209938559554435', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [2625564132023811051529, 918925030195200000], 'lmfdb_iso': '4830.h', 'lmfdb_label': '4830.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -287409, 37259332], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '690.6.0.?', '19320.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1482502101170209938559554435', 'prec': 100}, 'szpiro_ratio': 5.814204675206418, '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, -1, -1, -1, -1, 1, 1, 0, 1, -2, 1, -1, 1, 0, -1, 0, -1], 'aplist': [-1, 1, -1, -1, 0, -2, 0, 0, -1, 8, -4, 6, 0, -12, -4, 4, 4, 10, 4, -8, 0, 0, 12, 10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 4830, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4830.h', 'trace_hash': 1802370917897703564}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.013616126451250087168277687058', 'prec': 107}, 'conductor': 4830, 'gens': [], 'heights': [], 'lmfdb_label': '4830.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25676708716090152364003455868', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2838354358045076182001727933995002815', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[139, -70, 1]], 'xcoord_integral_points': [139]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [1, 0], '5': [4, 0], '7': [0, 0], '23': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '4830.h1'}
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ec_torsion_growth • Show schema
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id: 251745
{'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '4830.h1', 'torsion': [2, 2]}
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id: 251746
{'degree': 4, 'field': [23, -6, 7, -2, 1], 'lmfdb_label': '4830.h1', 'torsion': [4]}
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id: 251749
{'degree': 8, 'field': [-63480, -5388, 6270, -1765, 886, -7, 7, -4, 1], 'lmfdb_label': '4830.h1', 'torsion': [6]}
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id: 251748
{'degree': 8, 'field': [196, 0, 18228, 0, 1493, 0, 78, 0, 1], 'lmfdb_label': '4830.h1', 'torsion': [2, 4]}
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id: 251747
{'degree': 8, 'field': [3136, 0, -13948, 0, -2751, 0, -22, 0, 1], 'lmfdb_label': '4830.h1', 'torsion': [2, 4]}
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id: 251751
{'degree': 16, 'field': [113210715024, 0, 552333288291, 0, 32178064720, 0, 874048998, 0, -3094755, 0, -453497, 0, -9678, 0, 0, 0, 1], 'lmfdb_label': '4830.h1', 'torsion': [2, 6]}
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id: 251750
{'degree': 16, 'field': [146884639001, 98009821864, 12871563772, -13759769520, 1749689550, 1783294296, -316177904, -71274760, 21189519, -214600, -230776, -30072, 8610, 0, -52, -8, 1], 'lmfdb_label': '4830.h1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 92795
{'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 30, 'j_denominator_valuation': 30, 'kodaira_symbol': 34, 'lmfdb_label': '4830.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 92796
{'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '4830.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 92797
{'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '4830.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 92798
{'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4830.h1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 92799
{'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4830.h1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1695481
{'adelic_gens': [[13442, 1, 12599, 0], [1, 2, 2, 5], [2761, 4, 5522, 9], [1, 4, 0, 1], [9661, 4, 2, 9], [6442, 1, 6439, 0], [19317, 4, 19316, 5], [1, 0, 4, 1], [11594, 1, 3863, 0], [3, 4, 8, 11], [2417, 16906, 16904, 2415]], 'adelic_image': '19320.12.0.?', 'conductor': 4830, 'lmfdb_label': '4830.h1', 'prime': 0}
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id: 23982
{'conductor': 4830, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4830.h1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 4830.h does not appear in ec_padic