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ec_curvedata • Show schema
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{'Ciso': '71630x', 'Clabel': '71630x1', 'Cnumber': 1, 'abc_quality': 1.006892666415928, 'absD': 5607507702833920000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 77140, 'ainvs': [1, -1, 1, -265716552, 1667217712779], 'analytic_rank': 1, 'bad_primes': [2, 5, 13, 19, 29], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 71630, 'degree': 26254592, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4073011602687455781638744244', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 7], 'jinv': [2074815747201021028933709986641, 5607507702833920000000], 'lmfdb_iso': '71630.v', 'lmfdb_label': '71630.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -265716552, 1667217712779], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '11020.2.0.?', '77140.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2570873815132427145303379356', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 2755], [5, 6, 14326], [7, 2, 377], [13, 14, 5510], [19, 20, 3770], [29, 30, 2470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4073011602687455781638744244', 'prec': 100}, 'szpiro_ratio': 6.24436387763295, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -3, 1, 1, -3, 1, 1, 6, 1, 5, -3, -1, 1, -3, 1, -3, 6, 1, 1], 'aplist': [1, -3, 1, 1, 5, -1, -3, 1, 3, 1, 4, -4, -7, 2, 6, -9, 11, -8, -2, 9, -10, -4, 0, 6, 0], 'class_deg': 7, 'class_size': 2, 'conductor': 71630, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '71630.v', 'trace_hash': 1244560985209592429}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0010976296141470857844802067406', 'prec': 110}, 'conductor': 71630, 'gens': [[9337, 7681, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2570873815132427145303379356', 'prec': 100}], 'lmfdb_label': '71630.v2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11741425693870218870553452208', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4203986568907555528034936228818770778', 'prec': 130}, 'tamagawa_product': 1372, 'torsion_generators': [[9437, -919, 1]], 'xcoord_integral_points': [-11463, 7309, 9337, 9437, 9817, 17037]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [1, 1, 0], '5': [4, 0], '7': [51, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [2, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '71630.v2'}
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ec_torsion_growth • Show schema
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id: 3401014
{'degree': 3, 'field': [-10, -16, -1, 1], 'lmfdb_label': '71630.v2', 'torsion': [14]}
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id: 3401015
{'degree': 6, 'field': [-11020, 0, 2401, 0, -98, 0, 1], 'lmfdb_label': '71630.v2', 'torsion': [2, 14]}
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id: 3401016
{'degree': 8, 'field': [-137180, 115520, -116660, 2279, -1136, -7, 7, -4, 1], 'lmfdb_label': '71630.v2', 'torsion': [21]}
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id: 3401017
{'degree': 12, 'field': [-1191618200, 130237600, 73132330, 67704660, 17381822, 3251502, 269117, -18568, -8965, -1334, -49, -4, 1], 'lmfdb_label': '71630.v2', 'torsion': [28]}
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ec_localdata • Show schema
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id: 1737975
{'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '71630.v2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
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id: 1737976
{'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '71630.v2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 1737977
{'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '71630.v2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1737978
{'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '71630.v2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 1737979
{'conductor': 71630, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71630.v2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2138006
{'adelic_gens': [[8, 7, 38563, 77134], [77127, 14, 77126, 15], [15436, 7, 15421, 77134], [8, 5, 91, 57], [1, 14, 0, 1], [74488, 7, 50533, 77134], [1, 0, 14, 1], [20308, 7, 69013, 77134], [38571, 14, 0, 49591]], 'adelic_image': '77140.96.2.?', 'conductor': 71630, 'lmfdb_label': '71630.v2', 'prime': 0}
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id: 297934
{'conductor': 71630, 'elladic_image': '7.48.0.1', 'lmfdb_label': '71630.v2', 'modell_image': '7B.1.1', 'prime': 7}
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ec_padic • Show schema
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id: 3677884
{'lmfdb_iso': '71630.v', 'p': 7, 'prec': 20, 'unit': 75420111986076748, 'val': 0}
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id: 3677886
{'lmfdb_iso': '71630.v', 'p': 11, 'prec': 20, 'unit': 51595361578966808452, 'val': 1}
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id: 3677888
{'lmfdb_iso': '71630.v', 'p': 17, 'prec': 20, 'unit': 139850774733615424277790, 'val': 1}
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id: 3677893
{'lmfdb_iso': '71630.v', 'p': 23, 'prec': 20, 'unit': 25093883682864749461365536, 'val': 1}
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id: 3677898
{'lmfdb_iso': '71630.v', 'p': 31, 'prec': 20, 'unit': 14060084361613935258862568606, 'val': 1}
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id: 3677883
{'lmfdb_iso': '71630.v', 'p': 37, 'prec': 20, 'unit': 2823808579914326912715684011, 'val': 2}
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id: 3677885
{'lmfdb_iso': '71630.v', 'p': 41, 'prec': 20, 'unit': 3680082509299699018833194680116, 'val': 1}
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id: 3677882
{'lmfdb_iso': '71630.v', 'p': 43, 'prec': 20, 'unit': 5944573736566004537528926370264, 'val': 1}
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id: 3677896
{'lmfdb_iso': '71630.v', 'p': 47, 'prec': 20, 'unit': 45624762673935010548064122437969, 'val': 1}
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id: 3677890
{'lmfdb_iso': '71630.v', 'p': 53, 'prec': 20, 'unit': 104995547626020896408602109306717, 'val': 1}
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id: 3677891
{'lmfdb_iso': '71630.v', 'p': 59, 'prec': 20, 'unit': 1341697176784308198801004625258339, 'val': 1}
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id: 3677897
{'lmfdb_iso': '71630.v', 'p': 61, 'prec': 20, 'unit': 5392750857584736425817586995144901, 'val': 1}
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id: 3677889
{'lmfdb_iso': '71630.v', 'p': 67, 'prec': 20, 'unit': 8337743891876683812043109558625069, 'val': 1}
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id: 3677895
{'lmfdb_iso': '71630.v', 'p': 71, 'prec': 20, 'unit': 82058110896586984306192473264440757, 'val': 1}
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id: 3677892
{'lmfdb_iso': '71630.v', 'p': 73, 'prec': 20, 'unit': 54758384670913566001676787740969644, 'val': 1}
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id: 3677887
{'lmfdb_iso': '71630.v', 'p': 79, 'prec': 20, 'unit': 111617524108470955233805854419060823, 'val': 1}
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id: 3677894
{'lmfdb_iso': '71630.v', 'p': 89, 'prec': 20, 'unit': 7127963120876260217943402970945751860, 'val': 1}