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ec_curvedata • Show schema
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{'Ciso': '219450e', 'Clabel': '219450e3', 'Cnumber': 3, 'abc_quality': 1.0180359372964194, 'absD': 436109846010374927293056000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 58520, 'ainvs': [1, 0, 0, -341793003, 2214900059697], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 219450, 'degree': 156160000, 'elladic_images': ['2.3.0.1', '5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8483940522945545414309033170', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [35326710774513978982545998789, 3488878768082999418344448], 'lmfdb_iso': '219450.hn', 'lmfdb_label': '219450.hn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -341793003, 2214900059697], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.1'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.1.2', '10.72.0-10.a.2.1', '760.144.1.?', '770.144.1.?', '11704.6.0.?', '58520.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 6, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4460345741860294477807134837', 'prec': 100}, 'szpiro_ratio': 5.737331558184693, 'torsion': 10, 'torsion_primes': [2, 5], 'torsion_structure': [10]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 0, 1, 8, 1, -1, 0], 'aplist': [1, 1, 0, 1, 1, 4, 8, -1, 4, 10, -8, 8, 2, 4, 8, 4, -10, 2, 8, -8, 4, 0, -6, 0, 18], 'class_deg': 10, 'class_size': 4, 'conductor': 219450, 'isogeny_matrix': [[1, 5, 2, 10], [5, 1, 10, 2], [2, 10, 1, 5], [10, 2, 5, 1]], 'lmfdb_iso': '219450.hn', 'trace_hash': 892216063163479983}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00045428395468439255365116312485', 'prec': 113}, 'conductor': 219450, 'gens': [], 'heights': [], 'lmfdb_label': '219450.hn3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.051425347974852925430620468019', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.285069594970585086124093603787268720', 'prec': 130}, 'tamagawa_product': 20000, 'torsion_generators': [[20022, 1833369, 1]], 'xcoord_integral_points': [13182, 14478, 20022, 39426, 151692]}
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lmfdb_label 219450.hn3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9555936
{'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '219450.hn3', 'torsion': [2, 10]}
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id: 9555937
{'degree': 4, 'field': [1926, 92, -91, -2, 1], 'lmfdb_label': '219450.hn3', 'torsion': [20]}
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id: 9555938
{'degree': 8, 'field': [-5950584, 12431088, 162153, -808754, 80755, 3436, -557, -2, 1], 'lmfdb_label': '219450.hn3', 'torsion': [2, 20]}
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id: 9555940
{'degree': 8, 'field': [-811200, 0, 95600, 0, -3120, 0, 0, 0, 1], 'lmfdb_label': '219450.hn3', 'torsion': [30]}
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id: 9555939
{'degree': 8, 'field': [2290176, -1280832, 144578, 16996, 3455, -1054, -2, -2, 1], 'lmfdb_label': '219450.hn3', 'torsion': [2, 20]}
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id: 9555941
{'degree': 16, 'field': [1229737449096081, -1792668827918520, 945092723590944, -173489723214480, -8575967460888, 5271109781400, -360792187248, -8963820000, 8377759390, -580271400, -94678912, 4281840, 547752, -6840, -1264, 0, 1], 'lmfdb_label': '219450.hn3', 'torsion': [40]}
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id: 9555942
{'degree': 16, 'field': [4124410078936896, 556513581593088, -528460007437200, -55462462465920, 26126690858640, 1905411140864, -601892975008, -28192825600, 6672366305, 247802840, -46814308, -1484024, 235750, 5320, -740, -8, 1], 'lmfdb_label': '219450.hn3', 'torsion': [2, 30]}
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id: 9555943
{'degree': 20, 'field': [6126639792025, -39727040250, 101812831250, 101255258625, -39582536625, -3926929450, 171935650, -364161950, 193330925, 27823900, -5094260, 403575, -107600, -27900, 11775, 1665, 70, -35, 15, -5, 1], 'lmfdb_label': '219450.hn3', 'torsion': [5, 10]}
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ec_localdata • Show schema
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id: 5440560
{'conductor': 219450, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '219450.hn3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 5440561
{'conductor': 219450, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '219450.hn3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
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id: 5440562
{'conductor': 219450, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '219450.hn3', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5440563
{'conductor': 219450, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '219450.hn3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 5440564
{'conductor': 219450, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '219450.hn3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 5440565
{'conductor': 219450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '219450.hn3', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3066051
{'adelic_gens': [[16736, 5, 33395, 58506], [23426, 5, 295, 82], [11, 16, 58280, 58171], [14631, 20, 0, 1], [58501, 20, 58500, 21], [30801, 20, 15410, 201], [1, 10, 10, 101], [1, 0, 20, 1], [37256, 5, 15915, 58506], [29261, 20, 10, 201], [1, 20, 0, 1]], 'adelic_image': '58520.288.5.?', 'conductor': 219450, 'lmfdb_label': '219450.hn3', 'prime': 0}
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id: 805887
{'conductor': 219450, 'elladic_image': '2.3.0.1', 'lmfdb_label': '219450.hn3', 'modell_image': '2B', 'prime': 2}
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id: 805888
{'conductor': 219450, 'elladic_image': '5.24.0.1', 'lmfdb_label': '219450.hn3', 'modell_image': '5B.1.1', 'prime': 5}
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lmfdb_iso 219450.hn does not appear in ec_padic