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ec_curvedata • Show schema
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{'Ciso': '110400s', 'Clabel': '110400s3', 'Cnumber': 3, 'abc_quality': 0.9173390250789001, 'absD': 4298357760000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [0, -1, 0, 14367, 3079137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 110400, 'degree': 688128, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6805411353824832854971872742', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [320251964, 4197615], 'lmfdb_iso': '110400.f', 'lmfdb_label': '110400.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 144, 3036], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '30.6.0.a.1', '60.12.0.g.1', '120.24.0.?', '552.24.0.?', '920.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1366307999863896584424559169', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.048374061581160647692835221024', 'prec': 110}, 'szpiro_ratio': 3.7381223415454397, '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, -4, 0, 1, 0, -4, 0, 6, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, -1, 0, -4, -4, 6, 2, -4, -1, 2, 0, 2, 2, 0, 0, -6, 8, 2, -16, -4, -10, 0, 4, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 110400, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '110400.f', 'trace_hash': 1686102558951724440}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.034697686325010505674661849978', 'prec': 107}, 'conductor': 110400, 'gens': [[-13, 1700, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1366307999863896584424559169', 'prec': 100}], 'lmfdb_label': '110400.f4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32359561757689420711297559952', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0599999233292139659615695973209008956', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-113, 0, 1]], 'xcoord_integral_points': [-113, -13, 416]}
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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, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '110400.f4'}
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ec_torsion_growth • Show schema
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id: 5078329
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [4]}
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id: 5078330
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [4]}
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id: 5078328
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '110400.f4', 'torsion': [2, 2]}
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id: 5078331
{'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '110400.f4', 'torsion': [2, 4]}
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id: 5078335
{'degree': 8, 'field': [-54675, 0, -13770, 0, 810, 0, 0, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [6]}
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id: 5078332
{'degree': 8, 'field': [271, 2, -175, 2, 34, -2, 5, -2, 1], 'lmfdb_label': '110400.f4', 'torsion': [2, 4]}
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id: 5078334
{'degree': 8, 'field': [3321, -4464, 4430, 84, -81, 44, -10, -4, 1], 'lmfdb_label': '110400.f4', 'torsion': [8]}
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id: 5078333
{'degree': 8, 'field': [6400, 0, -27200, 0, 2244, 0, -74, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [8]}
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id: 5078336
{'degree': 16, 'field': [1, 0, 0, 0, 49, 0, 0, 0, 1056, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [4, 4]}
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id: 5078337
{'degree': 16, 'field': [162496, -614016, 1017216, -816000, 283216, -1440, 19248, -19872, 18660, -5496, 1152, -72, 211, -78, 39, -6, 1], 'lmfdb_label': '110400.f4', 'torsion': [2, 8]}
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id: 5078338
{'degree': 16, 'field': [4477456, 0, 7786880, 0, 4981064, 0, 1429680, 0, 246641, 0, 25020, 0, 1199, 0, 20, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [2, 8]}
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id: 5078339
{'degree': 16, 'field': [116640000, 0, -22032000, 0, 23450400, 0, 734400, 0, 118125, 0, -5610, 0, -630, 0, 0, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [2, 6]}
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id: 5078341
{'degree': 16, 'field': [570206641, 0, 3455971324, 0, 38029672, 0, -9753848, 0, 1153750, 0, -33572, 0, 1732, 0, 16, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [12]}
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id: 5078340
{'degree': 16, 'field': [150641015625, 0, -40170937500, 0, 2678062500, 0, 92137500, 0, -8471250, 0, -130500, 0, 900, 0, -60, 0, 1], 'lmfdb_label': '110400.f4', 'torsion': [12]}
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ec_localdata • Show schema
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id: 2711499
{'conductor': 110400, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '110400.f4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2711500
{'conductor': 110400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110400.f4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 2711501
{'conductor': 110400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '110400.f4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 2711502
{'conductor': 110400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110400.f4', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2386800
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1652, 2759, 529, 2754], [928, 3, 925, 2], [7, 6, 2754, 2755], [341, 342, 1022, 2405], [1201, 8, 2044, 33], [2753, 8, 2752, 9], [1043, 1036, 1082, 2421]], 'adelic_image': '2760.48.0.?', 'conductor': 110400, 'lmfdb_label': '110400.f4', 'prime': 0}
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id: 437947
{'conductor': 110400, 'elladic_image': '8.12.0.7', 'lmfdb_label': '110400.f4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 5756717
{'lmfdb_iso': '110400.f', 'p': 7, 'prec': 20, 'unit': 7415309956481282, 'val': 1}
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id: 5756719
{'lmfdb_iso': '110400.f', 'p': 11, 'prec': 20, 'unit': 55849013713857957460, 'val': 1}
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id: 5756720
{'lmfdb_iso': '110400.f', 'p': 13, 'prec': 20, 'unit': 903849137184841081253, 'val': 1}
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id: 5756722
{'lmfdb_iso': '110400.f', 'p': 17, 'prec': 20, 'unit': 66014235837552474147500, 'val': 1}
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id: 5756713
{'lmfdb_iso': '110400.f', 'p': 19, 'prec': 20, 'unit': 1722986042316972139495277, 'val': 1}
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id: 5756721
{'lmfdb_iso': '110400.f', 'p': 29, 'prec': 20, 'unit': 4233244538484640472670212988, 'val': 1}
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id: 5756716
{'lmfdb_iso': '110400.f', 'p': 37, 'prec': 20, 'unit': 402779077398346830508177222693, 'val': 1}
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id: 5756718
{'lmfdb_iso': '110400.f', 'p': 41, 'prec': 20, 'unit': 1401780412995837667127205787429, 'val': 1}
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id: 5756724
{'lmfdb_iso': '110400.f', 'p': 53, 'prec': 20, 'unit': 535829816500141730190031724297677, 'val': 1}
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id: 5756728
{'lmfdb_iso': '110400.f', 'p': 59, 'prec': 20, 'unit': 1465208701648782957049934084791022, 'val': 1}
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id: 5756729
{'lmfdb_iso': '110400.f', 'p': 61, 'prec': 20, 'unit': 3434535161581726031621975042393872, 'val': 1}
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id: 5756715
{'lmfdb_iso': '110400.f', 'p': 67, 'prec': 20, 'unit': 8582598548162116750079087472042216, 'val': 1}
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id: 5756727
{'lmfdb_iso': '110400.f', 'p': 71, 'prec': 20, 'unit': 101472489777320177340095917042384911, 'val': 1}
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id: 5756725
{'lmfdb_iso': '110400.f', 'p': 73, 'prec': 20, 'unit': 90121810848693043122830125739087088, 'val': 1}
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id: 5756723
{'lmfdb_iso': '110400.f', 'p': 83, 'prec': 20, 'unit': 905242634709025504816877396832965433, 'val': 1}
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id: 5756726
{'lmfdb_iso': '110400.f', 'p': 89, 'prec': 20, 'unit': 8827964277957665477335206162997067691, 'val': 1}
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id: 5756714
{'lmfdb_iso': '110400.f', 'p': 97, 'prec': 20, 'unit': 36905940149237284857645839969153595315, 'val': 1}