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ec_curvedata • Show schema
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{'Ciso': '74529bc', 'Clabel': '74529bc6', 'Cnumber': 6, 'abc_quality': 1.0508747826837916, 'absD': 60854572656469683, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [1, -1, 1, -58432289, -171905809890], 'analytic_rank': 1, 'bad_primes': [3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 74529, 'degree': 3538944, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8789412809834196370353085656', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53297461115137, 147], 'lmfdb_iso': '74529.l', 'lmfdb_label': '74529.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -784, -8515], 'min_quad_twist_disc': 273, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '16.24.0.e.2', '24.24.0.bl.1', '48.48.0.y.1', '56.24.0.bu.1', '104.24.0.?', '112.48.0.?', '168.48.0.?', '208.48.0.?', '312.48.0.?', '336.96.1.?', '364.12.0.?', '624.96.0.?', '728.48.0.?', '1092.24.0.?', '1456.96.0.?', '2184.96.0.?', '4368.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '21.917538178461769073584871473', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854634', 'prec': 107}, 'szpiro_ratio': 5.817280393426179, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, 2, 0, 0, 3, 0, -2, 4, 0, 0, 0, 0, -1, -6, 0, 4, -2], 'aplist': [-1, 0, 2, 0, 4, 0, -6, 4, 0, 2, 0, -6, -2, -4, 0, -6, -12, 2, -4, 0, -6, -16, 12, 14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 74529, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '74529.l', 'trace_hash': 1418415361159609993}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0031577909510517471818174258868', 'prec': 110}, 'conductor': 74529, 'gens': [[279045806649, 145729352296110207, 2200]], 'heights': [{'__RealLiteral__': 0, 'data': '21.917538178461769073584871473', 'prec': 100}], 'lmfdb_label': '74529.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.054605492750432724552478097585', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7872718884453063767980376114512909240', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-17653, 17649, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'o?', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': 'a', '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '74529.l1'}
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ec_torsion_growth • Show schema
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id: 3527908
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [2, 2]}
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id: 3527909
{'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '74529.l1', 'torsion': [4]}
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id: 3527910
{'degree': 2, 'field': [273, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [4]}
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id: 3527912
{'degree': 4, 'field': [289, 0, -8, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [8]}
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id: 3527913
{'degree': 4, 'field': [529, 0, 32, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [8]}
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id: 3527911
{'degree': 4, 'field': [673, -40, 41, -2, 1], 'lmfdb_label': '74529.l1', 'torsion': [2, 4]}
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id: 3527917
{'degree': 8, 'field': [-24751, 6559, -4955, -3761, 305, 125, -40, -2, 1], 'lmfdb_label': '74529.l1', 'torsion': [6]}
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id: 3527914
{'degree': 8, 'field': [144, 0, 0, 0, -843, 0, 0, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [2, 4]}
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id: 3527916
{'degree': 8, 'field': [625, 0, 300, 0, 359, 0, 12, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [2, 8]}
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id: 3527915
{'degree': 8, 'field': [215692, -45248, 48578, -6758, 3625, -298, 104, -4, 1], 'lmfdb_label': '74529.l1', 'torsion': [8]}
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id: 3527918
{'degree': 16, 'field': [31640625, 0, 0, 0, -691875, 0, 0, 0, 9504, 0, 0, 0, -123, 0, 0, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [4, 4]}
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id: 3527924
{'degree': 16, 'field': [40821881, -86956697, 116714730, -63792064, 43019910, -14592033, 7023288, -2029388, 741117, -172607, 51930, -10338, 2451, -364, 72, -8, 1], 'lmfdb_label': '74529.l1', 'torsion': [12]}
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id: 3527923
{'degree': 16, 'field': [160959969, 0, -345155688, 0, 99099658, 0, -14995995, 0, 1194081, 0, -41699, 0, 546, 0, -24, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [2, 6]}
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id: 3527920
{'degree': 16, 'field': [300259584, 0, 0, 0, 9078192, 0, 0, 0, 72339, 0, 0, 0, 111, 0, 0, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [16]}
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id: 3527921
{'degree': 16, 'field': [549658225, 4470805080, 8890014568, -177085776, 2704951000, -149540664, 167187112, -1229088, -5617826, 210504, -93224, 10416, 5752, -168, -104, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [16]}
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id: 3527925
{'degree': 16, 'field': [2641017493, 1600620238, 274396265, -341877542, -70645914, 78731956, 15150990, -6458768, -358748, 482864, -14499, -18292, 2145, 404, -76, -4, 1], 'lmfdb_label': '74529.l1', 'torsion': [12]}
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id: 3527919
{'degree': 16, 'field': [65260833444, 0, 23927514192, 0, 3787318884, 0, 339529404, 0, 18894757, 0, 668932, 0, 14718, 0, 184, 0, 1], 'lmfdb_label': '74529.l1', 'torsion': [2, 8]}
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id: 3527922
{'degree': 16, 'field': [69528348514, 441293864, 122918988, -1118861800, 537321190, 21525448, 1069124, -6875256, 1496587, 122184, 1092, -13384, 1806, 168, -4, -8, 1], 'lmfdb_label': '74529.l1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 1810097
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '74529.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1810098
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '74529.l1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1810099
{'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '74529.l1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2156447
{'adelic_gens': [[15, 2, 4270, 4355], [2351, 0, 0, 4367], [5, 4, 4364, 4365], [1, 16, 0, 1], [2822, 4121, 3237, 170], [4353, 16, 4352, 17], [2560, 1339, 1053, 350], [3587, 1664, 208, 987], [2029, 2704, 1508, 105], [1, 0, 16, 1]], 'adelic_image': '4368.192.1.?', 'conductor': 74529, 'lmfdb_label': '74529.l1', 'prime': 0}
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id: 308370
{'conductor': 74529, 'elladic_image': '16.24.0.13', 'lmfdb_label': '74529.l1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3830519
{'lmfdb_iso': '74529.l', 'p': 5, 'prec': 20, 'unit': 17593695280556, 'val': 1}
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id: 3830511
{'lmfdb_iso': '74529.l', 'p': 11, 'prec': 20, 'unit': 30022942236197436608, 'val': 1}
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id: 3830512
{'lmfdb_iso': '74529.l', 'p': 17, 'prec': 20, 'unit': 14016090151581587533989, 'val': 2}
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id: 3830513
{'lmfdb_iso': '74529.l', 'p': 19, 'prec': 20, 'unit': 1571254449261154859151883, 'val': 1}
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id: 3830509
{'lmfdb_iso': '74529.l', 'p': 29, 'prec': 20, 'unit': 4767439810006506357424921757, 'val': 1}
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id: 3830506
{'lmfdb_iso': '74529.l', 'p': 37, 'prec': 20, 'unit': 55332647151119379426031958015, 'val': 1}
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id: 3830507
{'lmfdb_iso': '74529.l', 'p': 41, 'prec': 20, 'unit': 379975530051708168727335196877, 'val': 1}
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id: 3830508
{'lmfdb_iso': '74529.l', 'p': 43, 'prec': 20, 'unit': 7554820217626785643982429886315, 'val': 1}
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id: 3830514
{'lmfdb_iso': '74529.l', 'p': 53, 'prec': 20, 'unit': 322131164270132359982812449940797, 'val': 1}
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id: 3830517
{'lmfdb_iso': '74529.l', 'p': 59, 'prec': 20, 'unit': 4171048329753077040767497730255256, 'val': 1}
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id: 3830518
{'lmfdb_iso': '74529.l', 'p': 61, 'prec': 20, 'unit': 7015702985254065472084323867890330, 'val': 1}
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id: 3830505
{'lmfdb_iso': '74529.l', 'p': 67, 'prec': 20, 'unit': 23272189125693982747401246905940679, 'val': 1}
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id: 3830515
{'lmfdb_iso': '74529.l', 'p': 73, 'prec': 20, 'unit': 143073872669275138062964085868754638, 'val': 1}
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id: 3830510
{'lmfdb_iso': '74529.l', 'p': 79, 'prec': 20, 'unit': 278142880667256645148641856029131768, 'val': 1}
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id: 3830504
{'lmfdb_iso': '74529.l', 'p': 83, 'prec': 20, 'unit': 1748838928352365075825348814881196554, 'val': 1}
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id: 3830516
{'lmfdb_iso': '74529.l', 'p': 89, 'prec': 20, 'unit': 7816562890628922031086339919373466229, 'val': 1}
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id: 3830503
{'lmfdb_iso': '74529.l', 'p': 97, 'prec': 20, 'unit': 12443489417675157125040061860475541282, 'val': 1}