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ec_curvedata • Show schema
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{'Ciso': '297689b', 'Clabel': '297689b1', 'Cnumber': 1, 'abc_quality': 0.7946684976008203, 'absD': 1017739450889, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 55384, 'ainvs': [1, -1, 0, -6818, 212895], 'analytic_rank': 0, 'bad_primes': [7, 23, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 297689, 'degree': 376320, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0818190300933906401904089325', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [5545233, 161], 'lmfdb_iso': '297689.b', 'lmfdb_label': '297689.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4, -2], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0.z.1', '184.12.0.?', '322.6.0.?', '344.12.0.?', '644.12.0.?', '1204.12.0.?', '1288.24.0.?', '2408.24.0.?', '3956.12.0.?', '7912.24.0.?', '27692.24.0.?', '55384.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79878102775339057154601232417', 'prec': 107}, 'szpiro_ratio': 3.0225516113483644, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, -1, -2, 0, -1, -3, -3, -2, 4, 0, 6, -1, 0, -1, -2, -3, -4, 2], 'aplist': [1, 0, -2, -1, 4, 6, -2, -4, -1, 2, -4, 2, -6, 0, -12, -10, 0, -2, 12, -8, 14, 8, -4, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 297689, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '297689.b', 'trace_hash': 1937830880019885323}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11490632357378419558612270449', 'prec': 103}, 'conductor': 297689, 'gens': [], 'heights': [], 'lmfdb_label': '297689.b3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.87327442764732844353252157970', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.43663721382366422176626078984771068424', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [[54, -27, 1]], 'xcoord_integral_points': [54]}
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lmfdb_label 297689.b3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12612172
{'degree': 2, 'field': [-247, -1, 1], 'lmfdb_label': '297689.b3', 'torsion': [4]}
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id: 12612173
{'degree': 2, 'field': [-75, -1, 1], 'lmfdb_label': '297689.b3', 'torsion': [4]}
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id: 12612171
{'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '297689.b3', 'torsion': [2, 2]}
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id: 12612174
{'degree': 4, 'field': [100, 956, -181, -1, 1], 'lmfdb_label': '297689.b3', 'torsion': [2, 4]}
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id: 12612178
{'degree': 8, 'field': [-41313, 4074, 3471, 3213, -1956, -210, 21, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [6]}
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id: 12612176
{'degree': 8, 'field': [4, 0, -4088, 0, 1093, 0, -66, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [8]}
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id: 12612177
{'degree': 8, 'field': [7744, 0, 3196, 0, 801, 0, 50, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [8]}
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id: 12612175
{'degree': 8, 'field': [2849344, 0, 292576, 0, 18017, 0, 403, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [2, 4]}
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id: 12612181
{'degree': 16, 'field': [313600, 0, -4913552, 0, 13027905, 0, -7161072, 0, 1454848, 0, -132234, 0, 5864, 0, -124, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [2, 8]}
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id: 12612180
{'degree': 16, 'field': [20394256, 0, 29256664, 0, 16620425, 0, 5773724, 0, 1084172, 0, 99398, 0, 4644, 0, 108, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [2, 8]}
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id: 12612184
{'degree': 16, 'field': [387420489, 0, 597871125, 0, 174253599, 0, 14762250, 0, -367545, 0, -143250, 0, -2778, 0, 0, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [12]}
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id: 12612183
{'degree': 16, 'field': [708224551, 43023808, -523962720, -52529464, 355976450, -239629827, 105568483, -36018254, 8681106, -1073732, -131279, 56994, -9475, 608, 45, -8, 1], 'lmfdb_label': '297689.b3', 'torsion': [12]}
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id: 12612182
{'degree': 16, 'field': [781593849, 0, 426232539, 0, 87533280, 0, 16655715, 0, 1840143, 0, -226620, 0, -1266, 0, 0, 0, 1], 'lmfdb_label': '297689.b3', 'torsion': [2, 6]}
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id: 12612179
{'degree': 16, 'field': [81972270864, -201693678912, 248134763648, -243746252560, 178635944536, -83394525384, 26844182120, -6367404212, 1021832817, -99527014, 6590570, -92832, -55377, 3548, 2, -2, 1], 'lmfdb_label': '297689.b3', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 7375672
{'conductor': 297689, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '297689.b3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7375673
{'conductor': 297689, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '297689.b3', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7375674
{'conductor': 297689, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '297689.b3', 'prime': 43, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3537606
{'adelic_gens': [[8859, 8858, 29154, 54267], [7, 6, 55378, 55379], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [55377, 8, 55376, 9], [40120, 29627, 15093, 28338], [1287, 0, 0, 55383], [52977, 50396, 51686, 21415], [32036, 28337, 42527, 30918]], 'adelic_image': '55384.48.0.?', 'conductor': 297689, 'lmfdb_label': '297689.b3', 'prime': 0}
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id: 1051320
{'conductor': 297689, 'elladic_image': '4.6.0.1', 'lmfdb_label': '297689.b3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 297689.b does not appear in ec_padic