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ec_curvedata • Show schema
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{'Ciso': '98315f', 'Clabel': '98315f1', 'Cnumber': 1, 'abc_quality': 1.0956798811068382, 'absD': 5231993083718721635, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, 1, 1, -59925, 110175196], 'analytic_rank': 0, 'bad_primes': [5, 7, 53], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 98315, 'degree': 1235520, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2710445876436053845517416577', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-1073741824, 236054315], 'lmfdb_iso': '98315.g', 'lmfdb_label': '98315.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -21, 747], 'min_quad_twist_disc': 53, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], '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': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28589863086754446747950708819', 'prec': 103}, 'szpiro_ratio': 4.397962105224991, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, -2, 1, 0, -1, 0, -2, 0, 5, -2, 1, 0, 1, 4, 3, 0, 2, -2], 'aplist': [0, 1, 1, -1, 5, 1, 3, 2, 4, -1, -2, 8, 8, -8, 9, 0, 6, 12, 10, 8, 2, 11, 12, 2, -13], 'class_deg': 1, 'class_size': 1, 'conductor': 98315, 'isogeny_matrix': [[1]], 'lmfdb_iso': '98315.g', 'trace_hash': 2123911394938490340}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010651131212968463555802976847', 'prec': 107}, 'conductor': 98315, 'gens': [], 'heights': [], 'lmfdb_label': '98315.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19729164231492680462815470640', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5512495616686824833067847151876149127', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 7, 0], '3': [4, 0], '5': [3, 0], '7': [0, 0], '11': [0, 0], '13': [2, 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], '53': 'a'}, 'iwp0': 0, 'lmfdb_label': '98315.g1'}
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ec_torsion_growth • Show schema
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id: 4571498
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '98315.g1', 'torsion': [2]}
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id: 4571499
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '98315.g1', 'torsion': [2, 2]}
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id: 4571500
{'degree': 8, 'field': [-151904, -133411, 134902, -2983, 1495, -7, 7, -4, 1], 'lmfdb_label': '98315.g1', 'torsion': [3]}
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id: 4571501
{'degree': 12, 'field': [-13308275, -1207830, -6640290, -1126280, -1132485, 1252, -33924, -8528, 377, -114, 2, -4, 1], 'lmfdb_label': '98315.g1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 2412443
{'conductor': 98315, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '98315.g1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 2412444
{'conductor': 98315, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '98315.g1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2412445
{'conductor': 98315, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '98315.g1', 'prime': 53, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[69, 2, 68, 3], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [57, 2, 57, 3], [1, 1, 69, 0]], 'adelic_image': '70.2.0.?', 'conductor': 98315, 'lmfdb_label': '98315.g1', 'prime': 0}
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lmfdb_iso 98315.g does not appear in ec_padic