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ec_curvedata • Show schema
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{'Ciso': '8820a', 'Clabel': '8820a3', 'Cnumber': 3, 'abc_quality': 1.0135004521922761, 'absD': 317712018632400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, -153468, 23124717], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 8820, 'degree': 41472, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7130073197557953789019538703', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [10788913152, 8575], 'lmfdb_iso': '8820.h', 'lmfdb_label': '8820.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -348, 2497], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '21.8.0-3.a.1.2', '42.48.0-42.c.1.2', '60.48.0-60.s.1.1', '140.6.0.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8145827386259420185670295118', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31495603145959197866956713627', 'prec': 107}, 'szpiro_ratio': 5.221630021337936, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 0, -1, 0, 0, 4, -6, -2, 6, 0, -2, 2, -6, -4, 0, -6, -12, 10, -4, 12, 4, 8, -12, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 8820, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '8820.h', 'trace_hash': 1900725775112506127}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.032516271951506786177384642286', 'prec': 107}, 'conductor': 8820, 'gens': [[211, 370, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.8145827386259420185670295118', 'prec': 100}], 'lmfdb_label': '8820.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53919383897520607740388041247', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1135990218565535856491608778523365518', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[231, 0, 1]], 'xcoord_integral_points': [211, 231]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [3, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '8820.h2'}
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ec_torsion_growth • Show schema
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id: 459864
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '8820.h2', 'torsion': [2, 6]}
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id: 459865
{'degree': 4, 'field': [1, -2, -12, -2, 1], 'lmfdb_label': '8820.h2', 'torsion': [4]}
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id: 459866
{'degree': 6, 'field': [508, -192, -42, 27, 9, -3, 1], 'lmfdb_label': '8820.h2', 'torsion': [6]}
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id: 459868
{'degree': 8, 'field': [109, 92, -952, -910, 463, 106, -46, -2, 1], 'lmfdb_label': '8820.h2', 'torsion': [2, 12]}
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id: 459867
{'degree': 8, 'field': [700, 280, -112, 112, 64, -4, 20, -4, 1], 'lmfdb_label': '8820.h2', 'torsion': [2, 12]}
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id: 459869
{'degree': 12, 'field': [1225, 0, -4725, 0, 12510, 0, 5483, 0, 822, 0, 51, 0, 1], 'lmfdb_label': '8820.h2', 'torsion': [6, 6]}
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id: 459870
{'degree': 16, 'field': [196, 0, -9856, 0, 5240, 0, 10736, 0, 11944, 0, -7424, 0, 1100, 0, -56, 0, 1], 'lmfdb_label': '8820.h2', 'torsion': [8]}
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id: 459871
{'degree': 18, 'field': [1225, 0, -7350, -2940, -8085, 26460, -5019, 76062, -72345, -19712, 47754, -21252, 1926, 2514, -1035, 162, 15, -6, 1], 'lmfdb_label': '8820.h2', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 184262
{'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '8820.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 184263
{'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '8820.h2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 184264
{'conductor': 8820, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8820.h2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 184265
{'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '8820.h2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1722291
{'adelic_gens': [[409, 12, 408, 13], [39, 178, 266, 401], [337, 12, 342, 73], [11, 2, 370, 411], [1, 0, 12, 1], [268, 409, 315, 32], [1, 6, 6, 37], [1, 12, 0, 1], [110, 417, 207, 8]], 'adelic_image': '420.96.1.?', 'conductor': 8820, 'lmfdb_label': '8820.h2', 'prime': 0}
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id: 43053
{'conductor': 8820, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8820.h2', 'modell_image': '2B', 'prime': 2}
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id: 43054
{'conductor': 8820, 'elladic_image': '3.4.0.1', 'lmfdb_label': '8820.h2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 366436
{'lmfdb_iso': '8820.h', 'p': 13, 'prec': 20, 'unit': 7559184924616463605, 'val': 2}
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id: 366438
{'lmfdb_iso': '8820.h', 'p': 17, 'prec': 20, 'unit': 234755786288274187484565, 'val': 1}
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id: 366429
{'lmfdb_iso': '8820.h', 'p': 19, 'prec': 20, 'unit': 56704815239276232102542, 'val': 1}
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id: 366442
{'lmfdb_iso': '8820.h', 'p': 23, 'prec': 20, 'unit': 67404371576464706322625803, 'val': 1}
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id: 366446
{'lmfdb_iso': '8820.h', 'p': 31, 'prec': 20, 'unit': 11986001044506631102512620098, 'val': 1}
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id: 366432
{'lmfdb_iso': '8820.h', 'p': 37, 'prec': 20, 'unit': 474558492810013411093881211122, 'val': 1}
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id: 366434
{'lmfdb_iso': '8820.h', 'p': 41, 'prec': 20, 'unit': 2320943222847301422712425619457, 'val': 1}
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id: 366435
{'lmfdb_iso': '8820.h', 'p': 43, 'prec': 20, 'unit': 5435732574477657454163967819770, 'val': 1}
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id: 366440
{'lmfdb_iso': '8820.h', 'p': 53, 'prec': 20, 'unit': 46205721158481799454060758840519, 'val': 1}
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id: 366444
{'lmfdb_iso': '8820.h', 'p': 59, 'prec': 20, 'unit': 1267422782538166655974487553578630, 'val': 1}
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id: 366445
{'lmfdb_iso': '8820.h', 'p': 61, 'prec': 20, 'unit': 443811950215462318012883959845517, 'val': 1}
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id: 366431
{'lmfdb_iso': '8820.h', 'p': 67, 'prec': 20, 'unit': 38098532737261824580884953357471082, 'val': 1}
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id: 366433
{'lmfdb_iso': '8820.h', 'p': 71, 'prec': 20, 'unit': 392083683601063959719497862641494, 'val': 1}
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id: 366441
{'lmfdb_iso': '8820.h', 'p': 73, 'prec': 20, 'unit': 38073877952098717724986668924667901, 'val': 1}
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id: 366437
{'lmfdb_iso': '8820.h', 'p': 79, 'prec': 20, 'unit': 291460552193824168346496911416411027, 'val': 1}
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id: 366439
{'lmfdb_iso': '8820.h', 'p': 83, 'prec': 20, 'unit': 1361328184404243472997956481736504544, 'val': 1}
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id: 366443
{'lmfdb_iso': '8820.h', 'p': 89, 'prec': 20, 'unit': 2782341733501325013462648990686315746, 'val': 1}
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id: 366430
{'lmfdb_iso': '8820.h', 'p': 97, 'prec': 20, 'unit': 47843970472131401217143637519517168291, 'val': 1}