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ec_curvedata • Show schema
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{'Ciso': '115920bv', 'Clabel': '115920bv2', 'Cnumber': 2, 'abc_quality': 1.0218848903643514, 'absD': 705892562997466320000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3220, 'ainvs': [0, 0, 0, 4562853, 40248440314], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 115920, 'degree': 13762560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2557290803521012805828373018', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 114, 'isogeny_degrees': [1, 2], 'jinv': [14073614784514581404, 945607964406328125], 'lmfdb_iso': '115920.ek', 'lmfdb_label': '115920.ek2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 506984, 1490513980], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '644.6.0.?', '3220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42980228574014050812564357263', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1288002855514253437041879155', 'prec': 100}, 'szpiro_ratio': 5.347882827517296, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 1, 1, -2, 0, 6, 4, 1, -2, -10, -8, -6, 12, 4, 8, -10, 6, 8, 4, -16, -10, -12, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 115920, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '115920.ek', 'trace_hash': 2135127579110891017}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0014863108620764824274082841235', 'prec': 110}, 'conductor': 115920, 'gens': [[-1957, 154350, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.42980228574014050812564357263', 'prec': 103}], 'lmfdb_label': '115920.ek2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.068956904768569660228156819710', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2985938803870017109365318216932755907', 'prec': 130}, 'tamagawa_product': 1120, 'torsion_generators': [[-2986, 0, 1]], 'xcoord_integral_points': [-2986, -1957, 3083, 6618, 27443]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [6, 0], '7': [2, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '115920.ek2'}
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ec_torsion_growth • Show schema
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id: 5312635
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '115920.ek2', 'torsion': [2, 2]}
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id: 5312636
{'degree': 4, 'field': [415, -185, 8, -1, 1], 'lmfdb_label': '115920.ek2', 'torsion': [4]}
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id: 5312639
{'degree': 8, 'field': [-914112, 0, 0, 0, 3312, 0, 116, 0, 1], 'lmfdb_label': '115920.ek2', 'torsion': [6]}
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id: 5312638
{'degree': 8, 'field': [10000, 0, -1000, 0, 405, 0, -10, 0, 1], 'lmfdb_label': '115920.ek2', 'torsion': [2, 4]}
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id: 5312637
{'degree': 8, 'field': [322000, -128800, 16780, -400, 1509, -416, 37, -2, 1], 'lmfdb_label': '115920.ek2', 'torsion': [2, 4]}
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id: 5312640
{'degree': 16, 'field': [39776313600, 0, -74567869920, 0, -22761606879, 0, 3365667120, 0, -65900444, 0, 1269606, 0, -484, 0, -180, 0, 1], 'lmfdb_label': '115920.ek2', 'torsion': [8]}
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id: 5312641
{'degree': 16, 'field': [1758113992005, 187635057720, -82837420920, -11992277160, 3859440300, -434621340, -91860904, 32235272, -295830, -813720, 99528, 6048, -1272, 60, 0, -8, 1], 'lmfdb_label': '115920.ek2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2850247
{'conductor': 115920, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '115920.ek2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 2850248
{'conductor': 115920, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '115920.ek2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2850249
{'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '115920.ek2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 2850250
{'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '115920.ek2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 2850251
{'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '115920.ek2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2421627
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [281, 4, 562, 9], [1, 4, 0, 1], [1934, 1, 643, 0], [3217, 4, 3216, 5], [2761, 4, 2302, 9], [2416, 809, 805, 2416]], 'adelic_image': '3220.12.0.?', 'conductor': 115920, 'lmfdb_label': '115920.ek2', 'prime': 0}
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id: 457300
{'conductor': 115920, 'elladic_image': '2.3.0.1', 'lmfdb_label': '115920.ek2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 6051602
{'lmfdb_iso': '115920.ek', 'p': 11, 'prec': 20, 'unit': 53077498614948486966, 'val': 1}
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id: 6051603
{'lmfdb_iso': '115920.ek', 'p': 17, 'prec': 20, 'unit': 60904485047224418906302, 'val': 1}
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id: 6051604
{'lmfdb_iso': '115920.ek', 'p': 19, 'prec': 20, 'unit': 1752443042593212585366469, 'val': 1}
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id: 6051600
{'lmfdb_iso': '115920.ek', 'p': 29, 'prec': 20, 'unit': 4510269307832202351629283679, 'val': 1}
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id: 6051611
{'lmfdb_iso': '115920.ek', 'p': 31, 'prec': 20, 'unit': 16929309598659692920514833674, 'val': 1}
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id: 6051596
{'lmfdb_iso': '115920.ek', 'p': 37, 'prec': 20, 'unit': 255844541235507866626494401257, 'val': 1}
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id: 6051598
{'lmfdb_iso': '115920.ek', 'p': 41, 'prec': 20, 'unit': 1658757880029720591658582248203, 'val': 1}
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id: 6051599
{'lmfdb_iso': '115920.ek', 'p': 43, 'prec': 20, 'unit': 110377558217329219797723010669, 'val': 2}
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id: 6051609
{'lmfdb_iso': '115920.ek', 'p': 47, 'prec': 20, 'unit': 24484306557484209932052051660199, 'val': 1}
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id: 6051605
{'lmfdb_iso': '115920.ek', 'p': 53, 'prec': 20, 'unit': 353266509532028161037780847964727, 'val': 1}
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id: 6051606
{'lmfdb_iso': '115920.ek', 'p': 59, 'prec': 20, 'unit': 4060369162958116897982441396125489, 'val': 1}
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id: 6051610
{'lmfdb_iso': '115920.ek', 'p': 61, 'prec': 20, 'unit': 532662667151343122028285637800773, 'val': 1}
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id: 6051595
{'lmfdb_iso': '115920.ek', 'p': 67, 'prec': 20, 'unit': 8549895300163423601192017759777399, 'val': 1}
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id: 6051597
{'lmfdb_iso': '115920.ek', 'p': 71, 'prec': 20, 'unit': 144973583985707832314480961393634178, 'val': 1}
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id: 6051607
{'lmfdb_iso': '115920.ek', 'p': 73, 'prec': 20, 'unit': 22944383998079517914257660260732856, 'val': 1}
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id: 6051601
{'lmfdb_iso': '115920.ek', 'p': 79, 'prec': 20, 'unit': 199753634114148896120336612265446272, 'val': 1}
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id: 6051594
{'lmfdb_iso': '115920.ek', 'p': 83, 'prec': 20, 'unit': 376917600818202927431126195487765111, 'val': 1}
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id: 6051608
{'lmfdb_iso': '115920.ek', 'p': 89, 'prec': 20, 'unit': 6648446868934556198779523225334819259, 'val': 1}
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id: 6051593
{'lmfdb_iso': '115920.ek', 'p': 97, 'prec': 20, 'unit': 45306534456949645819754437839655009097, 'val': 1}