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ec_curvedata • Show schema
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{'Ciso': '22848by', 'Clabel': '22848by1', 'Cnumber': 1, 'abc_quality': 1.2403219015966835, 'absD': 12692817801216, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, -1, 0, 5831, -5831], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 22848, 'degree': 46080, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2038025233516686737434938496', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [5352028359488, 3098832471], 'lmfdb_iso': '22848.g', 'lmfdb_label': '22848.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1458, 0], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '238.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1240836872651073997282530738', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51065534279172336432626172814', 'prec': 103}, 'szpiro_ratio': 3.7488982504862225, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, -1, 0, 1, 0, -2, 0, 4, 0, 2, 0, 1, 0, 2, 0], 'aplist': [0, -1, -2, -1, -2, 4, 1, 2, 4, 4, -8, -4, -10, 8, 0, 6, 2, -14, 4, -8, -6, 12, 10, -18, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 22848, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '22848.g', 'trace_hash': 390501506527209479}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.090030655795170491473809953667', 'prec': 107}, 'conductor': 22848, 'gens': [[129, 1696, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1240836872651073997282530738', 'prec': 100}], 'lmfdb_label': '22848.g2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42306864585419212301187637448', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4895410019212250873722694240173925555', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[1, 0, 1]], 'xcoord_integral_points': [1, 129]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '22848.g2'}
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ec_torsion_growth • Show schema
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id: 1158789
{'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '22848.g2', 'torsion': [2, 2]}
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id: 1158790
{'degree': 4, 'field': [-34, -20, -10, 0, 1], 'lmfdb_label': '22848.g2', 'torsion': [4]}
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id: 1158793
{'degree': 8, 'field': [-243, 0, 36, 0, 30, 0, 4, 0, 1], 'lmfdb_label': '22848.g2', 'torsion': [6]}
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id: 1158792
{'degree': 8, 'field': [1022, -364, 662, -480, 183, -4, 2, 0, 1], 'lmfdb_label': '22848.g2', 'torsion': [2, 4]}
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id: 1158791
{'degree': 8, 'field': [1306449, 0, -145246, 0, 5906, 0, -110, 0, 1], 'lmfdb_label': '22848.g2', 'torsion': [2, 4]}
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id: 1158794
{'degree': 16, 'field': [-29222200031, -37761457536, -24393544052, -11850916104, -4766354260, -1574308872, -466675716, -122747256, -26839588, -5183928, -843108, -113328, -13012, -864, -44, 0, 1], 'lmfdb_label': '22848.g2', 'torsion': [8]}
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id: 1158795
{'degree': 16, 'field': [66487716, 0, -28746360, 0, 18287052, 0, -2758712, 0, 142745, 0, 2140, 0, -446, 0, -4, 0, 1], 'lmfdb_label': '22848.g2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 522588
{'conductor': 22848, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '22848.g2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 522589
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '22848.g2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 522590
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '22848.g2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 522591
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.g2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1816812
{'adelic_gens': [[1, 0, 4, 1], [121, 834, 832, 119], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [949, 4, 948, 5], [618, 1, 167, 0], [818, 1, 543, 0], [477, 4, 2, 9]], 'adelic_image': '952.12.0.?', 'conductor': 22848, 'lmfdb_label': '22848.g2', 'prime': 0}
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id: 105344
{'conductor': 22848, 'elladic_image': '8.6.0.1', 'lmfdb_label': '22848.g2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1077753
{'lmfdb_iso': '22848.g', 'p': 5, 'prec': 20, 'unit': 5577549508894, 'val': 1}
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id: 1077761
{'lmfdb_iso': '22848.g', 'p': 11, 'prec': 20, 'unit': 31246148780093624799, 'val': 1}
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id: 1077759
{'lmfdb_iso': '22848.g', 'p': 13, 'prec': 20, 'unit': 400842211768240660410, 'val': 1}
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id: 1077762
{'lmfdb_iso': '22848.g', 'p': 19, 'prec': 20, 'unit': 1335339701638865355526808, 'val': 1}
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id: 1077765
{'lmfdb_iso': '22848.g', 'p': 23, 'prec': 20, 'unit': 38716765896373920382749729, 'val': 1}
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id: 1077758
{'lmfdb_iso': '22848.g', 'p': 29, 'prec': 20, 'unit': 3949849021649467662093470763, 'val': 1}
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id: 1077755
{'lmfdb_iso': '22848.g', 'p': 31, 'prec': 20, 'unit': 20519893085224276306129500623, 'val': 1}
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id: 1077769
{'lmfdb_iso': '22848.g', 'p': 37, 'prec': 20, 'unit': 670611391313167677213627381, 'val': 1}
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id: 1077756
{'lmfdb_iso': '22848.g', 'p': 41, 'prec': 20, 'unit': 3290528313118408423513334382406, 'val': 1}
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id: 1077757
{'lmfdb_iso': '22848.g', 'p': 43, 'prec': 20, 'unit': 2186943954796726254604306094624, 'val': 1}
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id: 1077763
{'lmfdb_iso': '22848.g', 'p': 53, 'prec': 20, 'unit': 480893611053448961969885718766880, 'val': 1}
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id: 1077767
{'lmfdb_iso': '22848.g', 'p': 59, 'prec': 20, 'unit': 1361260197754768935902226073473455, 'val': 1}
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id: 1077768
{'lmfdb_iso': '22848.g', 'p': 61, 'prec': 20, 'unit': 2217788550212024177461814360626439, 'val': 1}
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id: 1077752
{'lmfdb_iso': '22848.g', 'p': 67, 'prec': 20, 'unit': 20562903763706903912976614224100259, 'val': 1}
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id: 1077754
{'lmfdb_iso': '22848.g', 'p': 71, 'prec': 20, 'unit': 1822104761222755458647795700389868, 'val': 2}
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id: 1077764
{'lmfdb_iso': '22848.g', 'p': 73, 'prec': 20, 'unit': 99057922933603346985713923361618054, 'val': 1}
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id: 1077760
{'lmfdb_iso': '22848.g', 'p': 79, 'prec': 20, 'unit': 1108437037896318534549260404262591808, 'val': 1}
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id: 1077751
{'lmfdb_iso': '22848.g', 'p': 83, 'prec': 20, 'unit': 2760623081918307022445469492804740584, 'val': 1}
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id: 1077766
{'lmfdb_iso': '22848.g', 'p': 89, 'prec': 20, 'unit': 7704114452006372078662185912674513623, 'val': 1}
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id: 1077750
{'lmfdb_iso': '22848.g', 'p': 97, 'prec': 20, 'unit': 32377086666425548458433171403000976069, 'val': 1}