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ec_curvedata • Show schema
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{'Ciso': '7220d', 'Clabel': '7220d2', 'Cnumber': 2, 'abc_quality': 0.9683849789431537, 'absD': 42458907602500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 40, 'ainvs': [0, 1, 0, 319004, -305630796], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7220, 'degree': 172800, 'elladic_images': ['8.12.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4471665270626211980568858203', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [298091207216, 3525390625], 'lmfdb_iso': '7220.b', 'lmfdb_label': '7220.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 884, 44280], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '8.12.0-4.a.1.1', '20.12.0.d.1', '40.48.0-40.bc.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '26.353496018273804748594910026', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51284891710610409510755069005', 'prec': 103}, 'szpiro_ratio': 5.920306760286336, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, -1, 0, 2, 0, 1, 0, 0, 0, -6, 0, 2, 0, 2, 0, 0, 0], 'aplist': [0, -2, -1, 2, 0, -6, 2, 0, -2, 2, -4, 10, 10, 6, -6, -6, 4, 2, 2, -12, -6, -8, -2, -2, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 7220, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7220.b', 'trace_hash': 1025543353149173370}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0074889022511369288721328426467', 'prec': 110}, 'conductor': 7220, 'gens': [[5035029020845, 11323419022841566187, 25066]], 'heights': [{'__RealLiteral__': 0, 'data': '26.353496018273804748594910026', 'prec': 100}], 'lmfdb_label': '7220.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.099874044508917545824553568101', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6320302342946592970256260063330795145', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[519, 0, 1]], 'xcoord_integral_points': [519]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [5, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7220.b2'}
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ec_torsion_growth • Show schema
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id: 380211
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '7220.b2', 'torsion': [2, 2]}
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id: 380212
{'degree': 4, 'field': [-361, 0, -19, 0, 1], 'lmfdb_label': '7220.b2', 'torsion': [4]}
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id: 380215
{'degree': 8, 'field': [-420, -348, 270, 155, -74, -7, 7, -4, 1], 'lmfdb_label': '7220.b2', 'torsion': [6]}
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id: 380213
{'degree': 8, 'field': [5041, 3976, 1568, -646, 223, 38, 2, -2, 1], 'lmfdb_label': '7220.b2', 'torsion': [2, 4]}
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id: 380214
{'degree': 8, 'field': [48841, -4420, 12638, 720, 508, 88, -50, -4, 1], 'lmfdb_label': '7220.b2', 'torsion': [2, 4]}
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id: 380217
{'degree': 16, 'field': [14641, 0, 35332, 0, 40630, 0, 17812, 0, -26181, 0, 1268, 0, -90, 0, -32, 0, 1], 'lmfdb_label': '7220.b2', 'torsion': [8]}
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id: 380218
{'degree': 16, 'field': [176400, 0, 347904, 0, 242940, 0, 74737, 0, 7802, 0, -695, 0, -155, 0, 2, 0, 1], 'lmfdb_label': '7220.b2', 'torsion': [2, 6]}
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id: 380216
{'degree': 16, 'field': [9541921, 8093180, 6639536, 6099844, 3941808, 2153932, 1143854, 482132, 198271, 57188, 14418, 2904, 402, -4, -14, -4, 1], 'lmfdb_label': '7220.b2', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 148562
{'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '7220.b2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 148563
{'conductor': 7220, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '7220.b2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 148564
{'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '7220.b2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1711798
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [17, 6, 0, 1], [21, 8, 2, 17], [33, 8, 32, 9], [11, 4, 25, 1], [39, 32, 38, 23], [3, 8, 10, 27], [5, 8, 8, 37]], 'adelic_image': '40.48.0.?', 'conductor': 7220, 'lmfdb_label': '7220.b2', 'prime': 0}
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id: 35675
{'conductor': 7220, 'elladic_image': '8.12.0.37', 'lmfdb_label': '7220.b2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 292684
{'lmfdb_iso': '7220.b', 'p': 7, 'prec': 20, 'unit': 1156455676794287, 'val': 1}
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id: 292688
{'lmfdb_iso': '7220.b', 'p': 13, 'prec': 20, 'unit': 32124094277609245635, 'val': 1}
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id: 292690
{'lmfdb_iso': '7220.b', 'p': 17, 'prec': 20, 'unit': 227407553546956256267629, 'val': 1}
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id: 292695
{'lmfdb_iso': '7220.b', 'p': 23, 'prec': 20, 'unit': 37634228078335016878563220, 'val': 1}
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id: 292687
{'lmfdb_iso': '7220.b', 'p': 29, 'prec': 20, 'unit': 4892325313368043073929630946, 'val': 1}
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id: 292700
{'lmfdb_iso': '7220.b', 'p': 31, 'prec': 20, 'unit': 459925334220847835350576284, 'val': 1}
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id: 292683
{'lmfdb_iso': '7220.b', 'p': 37, 'prec': 20, 'unit': 62756600588695993383834083791, 'val': 1}
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id: 292685
{'lmfdb_iso': '7220.b', 'p': 41, 'prec': 20, 'unit': 3604858529022219259809153190384, 'val': 1}
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id: 292686
{'lmfdb_iso': '7220.b', 'p': 43, 'prec': 20, 'unit': 7200024643836865175377459122056, 'val': 1}
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id: 292698
{'lmfdb_iso': '7220.b', 'p': 47, 'prec': 20, 'unit': 31387711442639738930098396531296, 'val': 1}
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id: 292692
{'lmfdb_iso': '7220.b', 'p': 53, 'prec': 20, 'unit': 100567000090726505080484868032482, 'val': 1}
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id: 292693
{'lmfdb_iso': '7220.b', 'p': 59, 'prec': 20, 'unit': 3270628518031071001040579112662237, 'val': 1}
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id: 292699
{'lmfdb_iso': '7220.b', 'p': 61, 'prec': 20, 'unit': 7063963240118626834393699922183438, 'val': 1}
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id: 292682
{'lmfdb_iso': '7220.b', 'p': 67, 'prec': 20, 'unit': 25660004146164301546778723002716275, 'val': 1}
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id: 292697
{'lmfdb_iso': '7220.b', 'p': 71, 'prec': 20, 'unit': 2821846236751631427853548266710878, 'val': 1}
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id: 292694
{'lmfdb_iso': '7220.b', 'p': 73, 'prec': 20, 'unit': 154973942896906706959812256304632251, 'val': 1}
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id: 292689
{'lmfdb_iso': '7220.b', 'p': 79, 'prec': 20, 'unit': 1093725214158595400419624400444169023, 'val': 1}
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id: 292691
{'lmfdb_iso': '7220.b', 'p': 83, 'prec': 20, 'unit': 1297443208359416278106025230394825466, 'val': 1}
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id: 292696
{'lmfdb_iso': '7220.b', 'p': 89, 'prec': 20, 'unit': 10688263677579392039730108841882215036, 'val': 1}
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id: 292681
{'lmfdb_iso': '7220.b', 'p': 97, 'prec': 20, 'unit': 26419393282360328494485832309295325401, 'val': 1}