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ec_curvedata • Show schema
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{'Ciso': '92400ew', 'Clabel': '92400ew1', 'Cnumber': 1, 'abc_quality': 0.8554645355744033, 'absD': 28740096000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -848, -4608], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 92400, 'degree': 61440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70342211830456946193929690724', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [131872229, 56133], 'lmfdb_iso': '92400.l', 'lmfdb_label': '92400.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -53, 72], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '770.6.0.?', '924.6.0.?', '4620.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1404026250131814653257611843', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39208454036390094112812504752', 'prec': 107}, 'szpiro_ratio': 2.785005410775876, '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, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, -1, 0, -1, -1, 0, -6, 0, -6, 0, 6, -4, -6, 4, 8, 2, 0, 2, 4, -8, 4, -2, 6, -12, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 92400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '92400.l', 'trace_hash': 1679297514061513550}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.24491495856062108550368136807', 'prec': 103}, 'conductor': 92400, 'gens': [[-8, 40, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1404026250131814653257611843', 'prec': 100}], 'lmfdb_label': '92400.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.91912763798342219204568669075', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1927022843138392935287299204568630852', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[32, 0, 1]], 'xcoord_integral_points': [-22, -8, 32, 81]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '92400.l2'}
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ec_torsion_growth • Show schema
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id: 4312586
{'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '92400.l2', 'torsion': [2, 2]}
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id: 4312587
{'degree': 4, 'field': [16, 32, -31, -2, 1], 'lmfdb_label': '92400.l2', 'torsion': [4]}
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id: 4312590
{'degree': 8, 'field': [-180075, 0, 30625, 0, -1470, 0, 0, 0, 1], 'lmfdb_label': '92400.l2', 'torsion': [6]}
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id: 4312588
{'degree': 8, 'field': [7056, 0, -10479, 0, 3091, 0, -109, 0, 1], 'lmfdb_label': '92400.l2', 'torsion': [2, 4]}
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id: 4312589
{'degree': 8, 'field': [25600, 0, 13500, 0, 1735, 0, 60, 0, 1], 'lmfdb_label': '92400.l2', 'torsion': [2, 4]}
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id: 4312591
{'degree': 16, 'field': [15046641, 0, -27164484, 0, 17719830, 0, -4519476, 0, 176499, 0, 31644, 0, 3810, 0, -144, 0, 1], 'lmfdb_label': '92400.l2', 'torsion': [8]}
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id: 4312592
{'degree': 16, 'field': [579605625, 0, -507208125, 0, -17151125, 0, 13211250, 0, 839175, 0, -5350, 0, -1830, 0, 0, 0, 1], 'lmfdb_label': '92400.l2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2261919
{'conductor': 92400, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '92400.l2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2261920
{'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '92400.l2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2261921
{'conductor': 92400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '92400.l2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2261922
{'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '92400.l2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2261923
{'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '92400.l2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2272390
{'adelic_gens': [[1, 0, 4, 1], [1541, 4, 3082, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1322, 1, 3959, 0], [928, 1, 923, 0], [3469, 1156, 3464, 1155], [4617, 4, 4616, 5], [422, 1, 2099, 0]], 'adelic_image': '4620.12.0.?', 'conductor': 92400, 'lmfdb_label': '92400.l2', 'prime': 0}
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id: 374408
{'conductor': 92400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '92400.l2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 4792469
{'lmfdb_iso': '92400.l', 'p': 17, 'prec': 20, 'unit': 179185381873233713833324, 'val': 1}
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id: 4792473
{'lmfdb_iso': '92400.l', 'p': 23, 'prec': 20, 'unit': 9044454841822384401754915, 'val': 1}
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id: 4792477
{'lmfdb_iso': '92400.l', 'p': 31, 'prec': 20, 'unit': 14673426216738805238260624790, 'val': 1}
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id: 4792464
{'lmfdb_iso': '92400.l', 'p': 37, 'prec': 20, 'unit': 482704072507614426377451842776, 'val': 1}
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id: 4792466
{'lmfdb_iso': '92400.l', 'p': 41, 'prec': 20, 'unit': 3111725614914027513134661567441, 'val': 1}
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id: 4792467
{'lmfdb_iso': '92400.l', 'p': 43, 'prec': 20, 'unit': 9031902626930249170507781547451, 'val': 1}
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id: 4792468
{'lmfdb_iso': '92400.l', 'p': 47, 'prec': 20, 'unit': 58134165275006640382089738277643, 'val': 1}
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id: 4792471
{'lmfdb_iso': '92400.l', 'p': 53, 'prec': 20, 'unit': 358995558276064003058030281938537, 'val': 1}
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id: 4792476
{'lmfdb_iso': '92400.l', 'p': 61, 'prec': 20, 'unit': 3758212731922000980029616469849724, 'val': 1}
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id: 4792463
{'lmfdb_iso': '92400.l', 'p': 67, 'prec': 20, 'unit': 7556981286483205365470515053280273, 'val': 1}
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id: 4792465
{'lmfdb_iso': '92400.l', 'p': 71, 'prec': 20, 'unit': 124675477508191642270639341247743486, 'val': 1}
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id: 4792472
{'lmfdb_iso': '92400.l', 'p': 73, 'prec': 20, 'unit': 202479517723770603330707555966886890, 'val': 1}
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id: 4792475
{'lmfdb_iso': '92400.l', 'p': 79, 'prec': 20, 'unit': 704990484442420197787524080399958350, 'val': 1}
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id: 4792470
{'lmfdb_iso': '92400.l', 'p': 83, 'prec': 20, 'unit': 2508813181198884695077056116220974948, 'val': 1}
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id: 4792474
{'lmfdb_iso': '92400.l', 'p': 89, 'prec': 20, 'unit': 8423057807559948487244151116153859920, 'val': 1}
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id: 4792462
{'lmfdb_iso': '92400.l', 'p': 97, 'prec': 20, 'unit': 53419684675834624871929039042769338055, 'val': 1}