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ec_curvedata • Show schema
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{'Ciso': '58800kf', 'Clabel': '58800kf1', 'Cnumber': 1, 'abc_quality': 0.9794895960411968, 'absD': 11384658432000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 1, 0, -14128, 620948], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 58800, 'degree': 147456, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2748845846084796023926704511', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 264, 'isogeny_degrees': [1, 2], 'jinv': [5177717, 189], 'lmfdb_iso': '58800.ke', 'lmfdb_label': '58800.ke1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -18, 27], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '84.6.0.?', '210.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.48594648867042820690113455133', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79357714858764745322742787539', 'prec': 107}, 'szpiro_ratio': 3.667983326628597, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 6, 0, 2, 0, 0, 0, -4, 0, -6, 0], 'aplist': [0, 1, 0, 0, 6, 2, -4, -6, 0, -2, -10, -4, -2, 4, 0, 6, -8, 2, 16, -10, 6, -4, 8, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 58800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '58800.ke', 'trace_hash': 1681639564701391723}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.078099691733624260391089036778', 'prec': 107}, 'conductor': 58800, 'gens': [[44, 294, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.48594648867042820690113455133', 'prec': 103}], 'lmfdb_label': '58800.ke1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71180091723871794102384081815', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.3015317527490812882735147116631016691', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[58, 0, 1]], 'xcoord_integral_points': [-22, 44, 58, 107, 338]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '58800.ke1'}
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ec_torsion_growth • Show schema
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id: 2828992
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '58800.ke1', 'torsion': [2, 2]}
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id: 2828993
{'degree': 4, 'field': [5, -10, 5, 0, 1], 'lmfdb_label': '58800.ke1', 'torsion': [4]}
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id: 2828996
{'degree': 8, 'field': [-3675, 0, 4025, 0, -210, 0, 0, 0, 1], 'lmfdb_label': '58800.ke1', 'torsion': [6]}
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id: 2828994
{'degree': 8, 'field': [1, 0, 9, 0, -4, 0, 9, 0, 1], 'lmfdb_label': '58800.ke1', 'torsion': [2, 4]}
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id: 2828995
{'degree': 8, 'field': [16, 0, -52, 0, 24, 0, -13, 0, 1], 'lmfdb_label': '58800.ke1', 'torsion': [2, 4]}
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id: 2828998
{'degree': 16, 'field': [30625, 0, 109375, 0, -147125, 0, 92125, 0, -24650, 0, 2575, 0, -215, 0, 10, 0, 1], 'lmfdb_label': '58800.ke1', 'torsion': [2, 6]}
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id: 2828997
{'degree': 16, 'field': [7001316, 0, -2110136, 0, -248920, 0, 21756, 0, 19509, 0, 756, 0, -90, 0, -16, 0, 1], 'lmfdb_label': '58800.ke1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1416049
{'conductor': 58800, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '58800.ke1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1416050
{'conductor': 58800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '58800.ke1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 1416051
{'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '58800.ke1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1416052
{'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '58800.ke1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2054332
{'adelic_gens': [[109, 316, 104, 315], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [142, 1, 139, 0], [88, 1, 83, 0]], 'adelic_image': '420.12.0.?', 'conductor': 58800, 'lmfdb_label': '58800.ke1', 'prime': 0}
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id: 249108
{'conductor': 58800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '58800.ke1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 2985297
{'lmfdb_iso': '58800.ke', 'p': 11, 'prec': 20, 'unit': 8941442927914986372, 'val': 1}
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id: 2985295
{'lmfdb_iso': '58800.ke', 'p': 13, 'prec': 20, 'unit': 94368335773210331941, 'val': 2}
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id: 2985298
{'lmfdb_iso': '58800.ke', 'p': 17, 'prec': 20, 'unit': 32925436468041730130798, 'val': 1}
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id: 2985299
{'lmfdb_iso': '58800.ke', 'p': 19, 'prec': 20, 'unit': 946240393305772585534106, 'val': 1}
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id: 2985294
{'lmfdb_iso': '58800.ke', 'p': 29, 'prec': 20, 'unit': 815339764493925143651486204, 'val': 1}
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id: 2985305
{'lmfdb_iso': '58800.ke', 'p': 31, 'prec': 20, 'unit': 4985532751608783452027145292, 'val': 1}
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id: 2985290
{'lmfdb_iso': '58800.ke', 'p': 37, 'prec': 20, 'unit': 366284987781708559942245787379, 'val': 1}
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id: 2985292
{'lmfdb_iso': '58800.ke', 'p': 41, 'prec': 20, 'unit': 2781631195144377330762446429120, 'val': 1}
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id: 2985293
{'lmfdb_iso': '58800.ke', 'p': 43, 'prec': 20, 'unit': 1628841141867236598836063870503, 'val': 1}
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id: 2985300
{'lmfdb_iso': '58800.ke', 'p': 53, 'prec': 20, 'unit': 258154892280388278232510513844739, 'val': 1}
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id: 2985303
{'lmfdb_iso': '58800.ke', 'p': 59, 'prec': 20, 'unit': 3821086173662213144998787372913094, 'val': 1}
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id: 2985304
{'lmfdb_iso': '58800.ke', 'p': 61, 'prec': 20, 'unit': 2128023667724534638532278562528244, 'val': 1}
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id: 2985289
{'lmfdb_iso': '58800.ke', 'p': 67, 'prec': 20, 'unit': 48745793435668056599903991345505116, 'val': 1}
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id: 2985291
{'lmfdb_iso': '58800.ke', 'p': 71, 'prec': 20, 'unit': 70500604286804829893954850242783871, 'val': 1}
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id: 2985301
{'lmfdb_iso': '58800.ke', 'p': 73, 'prec': 20, 'unit': 206640664937466395554047091271727380, 'val': 1}
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id: 2985296
{'lmfdb_iso': '58800.ke', 'p': 79, 'prec': 20, 'unit': 547131158412331257691914246226791645, 'val': 1}
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id: 2985288
{'lmfdb_iso': '58800.ke', 'p': 83, 'prec': 20, 'unit': 1559246217962362059918342032092011703, 'val': 1}
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id: 2985302
{'lmfdb_iso': '58800.ke', 'p': 89, 'prec': 20, 'unit': 7736857292084073043605998530893684916, 'val': 1}
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id: 2985287
{'lmfdb_iso': '58800.ke', 'p': 97, 'prec': 20, 'unit': 6874044636445096076203564368742964101, 'val': 1}