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ec_curvedata • Show schema
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{'Ciso': '26928bn', 'Clabel': '26928bn3', 'Cnumber': 3, 'abc_quality': 0.9988178278632754, 'absD': 60199399231488, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, 0, 0, 9789, 19586], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 26928, 'degree': 65536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3335097354402705089403537552', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [34741712447, 20160657], 'lmfdb_iso': '26928.o', 'lmfdb_label': '26928.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 68, 17], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '68.12.0.h.1', '88.12.0.?', '204.24.0.?', '264.24.0.?', '1496.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.4715045141456072124340552695', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.091056410546270353825499015281', 'prec': 107}, 'szpiro_ratio': 3.840892726117219, '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, -2, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, -1, 0, -8, 0], 'aplist': [0, 0, -2, 0, 1, -2, -1, -8, -8, -6, -8, 6, -2, -8, -4, -6, -8, 10, -4, 0, -10, 0, 12, 14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 26928, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '26928.o', 'trace_hash': 1031120770184667251}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.069458941492237938177837800539', 'prec': 107}, 'conductor': 26928, 'gens': [[31, 594, 1], [79, 1134, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1669578695038261930234155259', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.1240135879327657712384995529', 'prec': 100}], 'lmfdb_label': '26928.o4', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.37530696623660841904540737132', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4205828899525656070553803184540680606', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-2, 0, 1]], 'xcoord_integral_points': [-2, 31, 79, 119, 295, 526, 1186, 1223]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '7': [2, 2, 0], '11': [3, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '26928.o4'}
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ec_torsion_growth • Show schema
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id: 1349365
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [4]}
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id: 1349366
{'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '26928.o4', 'torsion': [4]}
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id: 1349364
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [2, 2]}
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id: 1349367
{'degree': 4, 'field': [25, 0, 7, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [2, 4]}
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id: 1349371
{'degree': 8, 'field': [-243, 0, -675, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [6]}
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id: 1349369
{'degree': 8, 'field': [36, 0, -60, 0, 13, 0, -1, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [8]}
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id: 1349368
{'degree': 8, 'field': [289, 0, 0, 0, -17, 0, 0, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [2, 4]}
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id: 1349370
{'degree': 8, 'field': [127275, 3156, -2252, -1888, 1145, -244, 86, -4, 1], 'lmfdb_label': '26928.o4', 'torsion': [8]}
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id: 1349375
{'degree': 16, 'field': [289, 0, 7803, 0, 3757, 0, -3332, 0, -612, 0, 850, 0, -188, 0, 9, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [2, 6]}
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id: 1349376
{'degree': 16, 'field': [2601, 0, -90054, 0, 53761, 0, -17016, 0, 5586, 0, -1634, 0, 240, 0, -24, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [12]}
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id: 1349373
{'degree': 16, 'field': [25876, 91340, 159006, 144654, 53069, -17296, -15690, 5464, 8106, 1790, -318, -248, 14, 24, 12, -8, 1], 'lmfdb_label': '26928.o4', 'torsion': [2, 8]}
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id: 1349372
{'degree': 16, 'field': [104976, 0, 64800, 0, 27040, 0, 10592, 0, 2076, 0, -560, 0, -24, 0, -4, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [4, 4]}
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id: 1349377
{'degree': 16, 'field': [3515625, 0, -8203125, 0, 9754375, 0, -656250, 0, 26247, 0, -4550, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '26928.o4', 'torsion': [12]}
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id: 1349374
{'degree': 16, 'field': [200317833, -343681200, 443489946, -219817308, 160526404, -61075160, 20929094, -535668, 232921, -130888, 93370, -39604, 9088, -1176, 188, -8, 1], 'lmfdb_label': '26928.o4', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 620668
{'conductor': 26928, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '26928.o4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 620669
{'conductor': 26928, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '26928.o4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 620670
{'conductor': 26928, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '26928.o4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 620671
{'conductor': 26928, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26928.o4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1843590
{'adelic_gens': [[1, 0, 8, 1], [7, 6, 4482, 4483], [1, 8, 0, 1], [1, 4, 4, 17], [1495, 4480, 1492, 4455], [3931, 3930, 2818, 571], [409, 8, 1636, 33], [3968, 3, 797, 2], [4481, 8, 4480, 9], [560, 2797, 557, 528]], 'adelic_image': '4488.48.0.?', 'conductor': 26928, 'lmfdb_label': '26928.o4', 'prime': 0}
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id: 121950
{'conductor': 26928, 'elladic_image': '4.6.0.1', 'lmfdb_label': '26928.o4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1286800
{'lmfdb_iso': '26928.o', 'p': 5, 'prec': 20, 'unit': 2419532114384, 'val': 3}
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id: 1286805
{'lmfdb_iso': '26928.o', 'p': 13, 'prec': 20, 'unit': 1184920982867678896459, 'val': 2}
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id: 1286807
{'lmfdb_iso': '26928.o', 'p': 19, 'prec': 20, 'unit': 51197531153478833638449, 'val': 2}
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id: 1286810
{'lmfdb_iso': '26928.o', 'p': 23, 'prec': 20, 'unit': 70525415162043826051734313, 'val': 2}
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id: 1286804
{'lmfdb_iso': '26928.o', 'p': 29, 'prec': 20, 'unit': 2251564329382518128557620491, 'val': 2}
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id: 1286801
{'lmfdb_iso': '26928.o', 'p': 31, 'prec': 20, 'unit': 1663535410004775333679001863, 'val': 2}
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id: 1286814
{'lmfdb_iso': '26928.o', 'p': 37, 'prec': 20, 'unit': 92119783939530549059612692241, 'val': 2}
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id: 1286802
{'lmfdb_iso': '26928.o', 'p': 41, 'prec': 20, 'unit': 2119127529047543348666128478516, 'val': 2}
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id: 1286803
{'lmfdb_iso': '26928.o', 'p': 43, 'prec': 20, 'unit': 40635945601257986286434191770, 'val': 2}
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id: 1286806
{'lmfdb_iso': '26928.o', 'p': 47, 'prec': 20, 'unit': 10764460206064359275374433041509, 'val': 2}
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id: 1286808
{'lmfdb_iso': '26928.o', 'p': 53, 'prec': 20, 'unit': 358263787649281992955582876058464, 'val': 2}
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id: 1286812
{'lmfdb_iso': '26928.o', 'p': 59, 'prec': 20, 'unit': 1991084261950103079238484908615818, 'val': 2}
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id: 1286813
{'lmfdb_iso': '26928.o', 'p': 61, 'prec': 20, 'unit': 3703927774693604853711262542647887, 'val': 2}
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id: 1286799
{'lmfdb_iso': '26928.o', 'p': 67, 'prec': 20, 'unit': 39977250623283506525841769564452436, 'val': 2}
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id: 1286809
{'lmfdb_iso': '26928.o', 'p': 73, 'prec': 20, 'unit': 22727460252039111405345410260235139, 'val': 2}
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id: 1286798
{'lmfdb_iso': '26928.o', 'p': 83, 'prec': 20, 'unit': 780418005457558818057116117095028062, 'val': 2}
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id: 1286811
{'lmfdb_iso': '26928.o', 'p': 89, 'prec': 20, 'unit': 4224762982074750489132745927677281301, 'val': 2}
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id: 1286797
{'lmfdb_iso': '26928.o', 'p': 97, 'prec': 20, 'unit': 28579591380068615260879611024066035263, 'val': 2}