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ec_curvedata • Show schema
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{'Ciso': '4620n', 'Clabel': '4620n2', 'Cnumber': 2, 'abc_quality': 1.020343184188864, 'absD': 1856240095691520, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2310, 'ainvs': [0, 1, 0, 19355, -1788745], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4620, 'degree': 23328, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6138139261182281438798205387', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [3132137615458304, 7250937873795], 'lmfdb_iso': '4620.n', 'lmfdb_label': '4620.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 19355, -1788745], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '2310.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.71497333241363115268603992149', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1517158057449312709349991244', 'prec': 100}, 'szpiro_ratio': 5.01583828326915, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, -1, 0, -4, 0, 1, 0, 3, 0, -7, 0], 'aplist': [0, 1, 1, 1, -1, -4, 3, -7, -9, -3, 2, -4, -6, -1, -6, 3, -9, -1, -10, 6, 8, -4, 3, -15, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 4620, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4620.n', 'trace_hash': 296727311295341082}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.039651446405441571854189221621', 'prec': 107}, 'conductor': 4620, 'gens': [[98, 1029, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.71497333241363115268603992149', 'prec': 103}], 'lmfdb_label': '4620.n2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24290770445507263768042167765', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6891583349260954900707290931930559116', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [], 'xcoord_integral_points': [98, 538]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [6, 1], '5': [2, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4620.n2'}
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ec_torsion_growth • Show schema
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id: 240541
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '4620.n2', 'torsion': [3]}
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id: 240542
{'degree': 3, 'field': [-26, 18, 0, 1], 'lmfdb_label': '4620.n2', 'torsion': [2]}
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id: 240543
{'degree': 3, 'field': [-20, 0, 0, 1], 'lmfdb_label': '4620.n2', 'torsion': [3]}
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id: 240546
{'degree': 6, 'field': [75, 0, 19, 0, -11, 0, 1], 'lmfdb_label': '4620.n2', 'torsion': [6]}
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id: 240545
{'degree': 6, 'field': [133, -240, 147, -20, -9, 0, 1], 'lmfdb_label': '4620.n2', 'torsion': [3, 3]}
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id: 240544
{'degree': 6, 'field': [2055, 2190, 1099, 64, -3, -2, 1], 'lmfdb_label': '4620.n2', 'torsion': [2, 2]}
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id: 240547
{'degree': 9, 'field': [-2940, -600, -420, -176, 222, 210, 25, -15, -3, 1], 'lmfdb_label': '4620.n2', 'torsion': [6]}
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id: 240548
{'degree': 12, 'field': [-124259520, 0, -630656, 0, 527280, 0, -2080, 0, -1300, 0, 0, 0, 1], 'lmfdb_label': '4620.n2', 'torsion': [4]}
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id: 240549
{'degree': 12, 'field': [35721, 15876, 24633, -25200, 7620, -624, -161, 342, -144, 2, 21, -6, 1], 'lmfdb_label': '4620.n2', 'torsion': [2, 6]}
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id: 240551
{'degree': 18, 'field': [713475, -1752975, 1952775, -1024830, 1022670, -2003760, 2318016, -1266552, 156459, 236625, -145995, 23568, 10204, -5628, 510, 250, -51, -3, 1], 'lmfdb_label': '4620.n2', 'torsion': [3, 6]}
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id: 240550
{'degree': 18, 'field': [11390625, 0, 0, 455625, 0, 0, 232200, 0, 0, -63045, 0, 0, 4354, 0, 0, -13, 0, 0, 1], 'lmfdb_label': '4620.n2', 'torsion': [9]}
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id: 240552
{'degree': 18, 'field': [5875235136, 8010010944, 8155431936, 4117823424, 2107167840, 328935744, 161969316, -14876856, 9642876, -1828140, 907776, -145716, 50641, -8346, 1575, -376, 51, -6, 1], 'lmfdb_label': '4620.n2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 88189
{'conductor': 4620, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '4620.n2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 88190
{'conductor': 4620, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4620.n2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 88191
{'conductor': 4620, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4620.n2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 88192
{'conductor': 4620, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '4620.n2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 88193
{'conductor': 4620, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4620.n2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1694029
{'adelic_gens': [[4, 3, 9, 7], [2305, 6, 2304, 7], [661, 6, 1983, 19], [1928, 387, 1, 1156], [1387, 6, 1851, 19], [211, 6, 633, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '2310.16.0.?', 'conductor': 4620, 'lmfdb_label': '4620.n2', 'prime': 0}
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id: 22899
{'conductor': 4620, 'elladic_image': '3.8.0.2', 'lmfdb_label': '4620.n2', 'modell_image': '3B.1.2', 'prime': 3}
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ec_padic • Show schema
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id: 166790
{'lmfdb_iso': '4620.n', 'p': 13, 'prec': 20, 'unit': 459061615875190762631, 'val': 1}
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id: 166792
{'lmfdb_iso': '4620.n', 'p': 17, 'prec': 20, 'unit': 210188218048586720886760, 'val': 1}
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id: 166793
{'lmfdb_iso': '4620.n', 'p': 19, 'prec': 20, 'unit': 711731054814018774670946, 'val': 1}
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id: 166797
{'lmfdb_iso': '4620.n', 'p': 23, 'prec': 20, 'unit': 3033903687939595142308568, 'val': 2}
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id: 166789
{'lmfdb_iso': '4620.n', 'p': 29, 'prec': 20, 'unit': 3415225028393006497264372388, 'val': 1}
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id: 166801
{'lmfdb_iso': '4620.n', 'p': 31, 'prec': 20, 'unit': 211256240390571692377549545, 'val': 2}
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id: 166785
{'lmfdb_iso': '4620.n', 'p': 37, 'prec': 20, 'unit': 507637530016416106340555900919, 'val': 1}
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id: 166787
{'lmfdb_iso': '4620.n', 'p': 41, 'prec': 20, 'unit': 1307671591833198504695619074120, 'val': 1}
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id: 166788
{'lmfdb_iso': '4620.n', 'p': 43, 'prec': 20, 'unit': 93648918462682628207222915181, 'val': 2}
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id: 166799
{'lmfdb_iso': '4620.n', 'p': 47, 'prec': 20, 'unit': 45704539658903990181923421676307, 'val': 1}
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id: 166794
{'lmfdb_iso': '4620.n', 'p': 53, 'prec': 20, 'unit': 450478188386715033453277257496298, 'val': 1}
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id: 166795
{'lmfdb_iso': '4620.n', 'p': 59, 'prec': 20, 'unit': 2038244851551165000753089861910967, 'val': 1}
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id: 166800
{'lmfdb_iso': '4620.n', 'p': 61, 'prec': 20, 'unit': 1041147411344490020833010334407584, 'val': 1}
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id: 166784
{'lmfdb_iso': '4620.n', 'p': 67, 'prec': 20, 'unit': 18039804165393083457920040444650015, 'val': 1}
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id: 166786
{'lmfdb_iso': '4620.n', 'p': 71, 'prec': 20, 'unit': 108524363165616009642292270908935986, 'val': 1}
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id: 166796
{'lmfdb_iso': '4620.n', 'p': 73, 'prec': 20, 'unit': 104059466762704168881565029264721677, 'val': 1}
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id: 166791
{'lmfdb_iso': '4620.n', 'p': 79, 'prec': 20, 'unit': 764551061670605723429882533060188274, 'val': 1}
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id: 166783
{'lmfdb_iso': '4620.n', 'p': 83, 'prec': 20, 'unit': 238280704829290174099147604179583637, 'val': 1}
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id: 166798
{'lmfdb_iso': '4620.n', 'p': 89, 'prec': 20, 'unit': 7903763256803668090274992612328607104, 'val': 1}
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id: 166782
{'lmfdb_iso': '4620.n', 'p': 97, 'prec': 20, 'unit': 24003343262609997244679904156516134778, 'val': 1}