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ec_curvedata • Show schema
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{'Ciso': '1850f', 'Clabel': '1850f2', 'Cnumber': 2, 'abc_quality': 1.145798613668124, 'absD': 87616000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1480, 'ainvs': [1, -1, 0, -13657, -610899], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1850, 'degree': 1728, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88632481732336649122672538975', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [2253707317528029, 700928], 'lmfdb_iso': '1850.e', 'lmfdb_label': '1850.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -13657, -610899], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '296.6.0.?', '740.6.0.?', '1480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1156912477805479480561480757', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48396533921484139757653555644', 'prec': 103}, 'szpiro_ratio': 5.340952046110302, '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, 0, 0, 2, -1, -3, 0, 0, 0, -2, -2, 0, 1, 6, 3, -6, 0], 'aplist': [-1, 0, 0, 2, 0, -2, 6, -6, -4, 0, -4, 1, -10, 4, 2, -2, -6, 0, -8, 0, -8, 4, 12, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 1850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1850.e', 'trace_hash': 2041400928521742952}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.16988226602580298298677281650', 'prec': 103}, 'conductor': 1850, 'gens': [[2199, 101853, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1156912477805479480561480757', 'prec': 100}], 'lmfdb_label': '1850.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44163068883084142439388832018', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2592462496032300663823632660851167233', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-269, 269, 2]], 'xcoord_integral_points': [2199]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 1], '3': [5, 1, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1850.e1'}
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ec_torsion_growth • Show schema
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id: 93920
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '1850.e1', 'torsion': [2, 2]}
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id: 93921
{'degree': 4, 'field': [10, 0, 15, 0, 1], 'lmfdb_label': '1850.e1', 'torsion': [4]}
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id: 93922
{'degree': 8, 'field': [-1609, 644, 162, -88, 135, 8, -18, -4, 1], 'lmfdb_label': '1850.e1', 'torsion': [2, 4]}
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id: 93924
{'degree': 8, 'field': [-224, -76, 22, 107, -50, -7, 7, -4, 1], 'lmfdb_label': '1850.e1', 'torsion': [6]}
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id: 93923
{'degree': 8, 'field': [67600, 0, -10000, 0, 545, 0, -10, 0, 1], 'lmfdb_label': '1850.e1', 'torsion': [2, 4]}
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id: 93926
{'degree': 16, 'field': [14258176, 0, 8289280, 0, 1064512, 0, 35200, 0, -7616, 0, -11600, 0, 208, 0, 40, 0, 1], 'lmfdb_label': '1850.e1', 'torsion': [2, 6]}
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id: 93925
{'degree': 16, 'field': [460359936, 0, -99006336, 0, 2900900, 0, -1904944, 0, 417994, 0, -12984, 0, -25, 0, 44, 0, 1], 'lmfdb_label': '1850.e1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 29922
{'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '1850.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 29923
{'conductor': 1850, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1850.e1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 29924
{'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1850.e1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1676075
{'adelic_gens': [[1001, 4, 522, 9], [1, 2, 2, 5], [1297, 186, 184, 1295], [1, 4, 0, 1], [1188, 1, 1183, 0], [1477, 4, 1476, 5], [1, 0, 4, 1], [2, 1, 739, 0], [3, 4, 8, 11]], 'adelic_image': '1480.12.0.?', 'conductor': 1850, 'lmfdb_label': '1850.e1', 'prime': 0}
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id: 9051
{'conductor': 1850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1850.e1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 52415
{'lmfdb_iso': '1850.e', 'p': 7, 'prec': 20, 'unit': 6160734597419208, 'val': 1}
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id: 52418
{'lmfdb_iso': '1850.e', 'p': 13, 'prec': 20, 'unit': 79238972710056789527, 'val': 2}
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id: 52420
{'lmfdb_iso': '1850.e', 'p': 17, 'prec': 20, 'unit': 192562656083359521100973, 'val': 1}
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id: 52412
{'lmfdb_iso': '1850.e', 'p': 19, 'prec': 20, 'unit': 4322128818824481765490, 'val': 1}
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id: 52425
{'lmfdb_iso': '1850.e', 'p': 23, 'prec': 20, 'unit': 2387560637173591289539810, 'val': 1}
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id: 52428
{'lmfdb_iso': '1850.e', 'p': 31, 'prec': 20, 'unit': 6985069932605302651930810430, 'val': 1}
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id: 52416
{'lmfdb_iso': '1850.e', 'p': 41, 'prec': 20, 'unit': 1007011867598777960854996081298, 'val': 1}
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id: 52417
{'lmfdb_iso': '1850.e', 'p': 43, 'prec': 20, 'unit': 3298498548597915795761664472980, 'val': 1}
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id: 52427
{'lmfdb_iso': '1850.e', 'p': 47, 'prec': 20, 'unit': 2152257363760271544319546606350, 'val': 1}
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id: 52422
{'lmfdb_iso': '1850.e', 'p': 53, 'prec': 20, 'unit': 115667944212016306271786484635578, 'val': 1}
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id: 52423
{'lmfdb_iso': '1850.e', 'p': 59, 'prec': 20, 'unit': 4416800915760623764346870072135790, 'val': 1}
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id: 52414
{'lmfdb_iso': '1850.e', 'p': 67, 'prec': 20, 'unit': 45515371025911783583284465428461134, 'val': 1}
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id: 52424
{'lmfdb_iso': '1850.e', 'p': 73, 'prec': 20, 'unit': 215597382945529351383300961481520466, 'val': 1}
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id: 52419
{'lmfdb_iso': '1850.e', 'p': 79, 'prec': 20, 'unit': 230424232424075428442018914518405494, 'val': 1}
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id: 52421
{'lmfdb_iso': '1850.e', 'p': 83, 'prec': 20, 'unit': 2497621836764843411720061613143615106, 'val': 1}
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id: 52426
{'lmfdb_iso': '1850.e', 'p': 89, 'prec': 20, 'unit': 1929351179339217439977162567975207040, 'val': 1}
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id: 52413
{'lmfdb_iso': '1850.e', 'p': 97, 'prec': 20, 'unit': 13338327065492984174876627919136445925, 'val': 1}