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ec_curvedata • Show schema
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{'Ciso': '397800cd', 'Clabel': '397800cd2', 'Cnumber': 2, 'abc_quality': 0.9441825281836695, 'absD': 84617719326562500000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 26520, 'ainvs': [0, 0, 0, -31882575, 67863087250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 397800, 'degree': 37748736, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1846915868282205256624600656', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 4], 'jinv': [1229125878116884816, 29018422265625], 'lmfdb_iso': '397800.cd', 'lmfdb_label': '397800.cd5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -141700, -20060348], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '60.24.0-4.b.1.3', '104.48.0.?', '120.48.0.?', '204.24.0.?', '340.24.0.?', '408.48.0.?', '680.48.0.?', '1020.48.0.?', '1560.96.0.?', '2040.96.0.?', '5304.96.1.?', '8840.96.0.?', '26520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3685683659038186197196363662', 'prec': 100}, 'szpiro_ratio': 4.920720252123457, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 0, 0, 0, -4, -1, 1, -4, 0, 2, 8, 10, -10, -4, -8, -2, 4, 6, 4, 0, 14, 0, -12, 14, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 397800, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '397800.cd', 'trace_hash': 1393361486008890217}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0017132156562638662800371315313', 'prec': 110}, 'conductor': 397800, 'gens': [], 'heights': [], 'lmfdb_label': '397800.cd5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10770508738782231013911559260', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7232813982051569622258494815784130908', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[2870, 0, 1], [3635, 0, 1]], 'xcoord_integral_points': [-6505, 2870, 3635]}
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lmfdb_label 397800.cd5 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 16413379
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 4]}
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id: 16413380
{'degree': 4, 'field': [81, 0, -33, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 4]}
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id: 16413381
{'degree': 4, 'field': [625, 0, 35, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 4]}
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id: 16413385
{'degree': 8, 'field': [-57159675, 0, -1640040, 0, -26190, 0, 0, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 6]}
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id: 16413382
{'degree': 8, 'field': [4761, 0, 1365, 0, 208, 0, 5, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [4, 4]}
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id: 16413384
{'degree': 8, 'field': [31690, 7180, -6746, -884, 483, -52, 22, -4, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 8]}
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id: 16413383
{'degree': 8, 'field': [5171076, 0, 291660, 0, 5773, 0, -70, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 8]}
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id: 16413386
{'degree': 16, 'field': [5428900, 0, -2216480, 0, -629276, 0, 318724, 0, 5389, 0, -11732, 0, 1126, 0, -56, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 8]}
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id: 16413387
{'degree': 16, 'field': [24098281, 0, -19263872, 0, 270502, 0, 1031548, 0, 284443, 0, 33364, 0, 2338, 0, 76, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 8]}
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id: 16413388
{'degree': 16, 'field': [49046500, 534336400, 1720821960, 1442253280, 352042444, -15320864, 5208532, 1919216, -1350291, -18772, 4472, -10088, 1117, -52, 10, 0, 1], 'lmfdb_label': '397800.cd5', 'torsion': [4, 8]}
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id: 16413389
{'degree': 16, 'field': [27723834496, -14097060608, 15873848064, -3532766880, 1710431520, 78064584, -43964276, 14855992, -3056355, -443760, 94560, -3792, 1178, -280, 60, -8, 1], 'lmfdb_label': '397800.cd5', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 9840614
{'conductor': 397800, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '397800.cd5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9840615
{'conductor': 397800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '397800.cd5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9840616
{'conductor': 397800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '397800.cd5', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 9840617
{'conductor': 397800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '397800.cd5', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9840618
{'conductor': 397800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '397800.cd5', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4131746
{'adelic_gens': [[5303, 0, 0, 26519], [26513, 8, 26512, 9], [1, 0, 8, 1], [13111, 10610, 24630, 21211], [1, 8, 0, 1], [7961, 3980, 3980, 13261], [10611, 22550, 10600, 9261], [3529, 15910, 15930, 5309], [24481, 21220, 0, 1], [5, 4, 26516, 26517]], 'adelic_image': '26520.192.1.?', 'conductor': 397800, 'lmfdb_label': '397800.cd5', 'prime': 0}
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id: 1353386
{'conductor': 397800, 'elladic_image': '8.24.0.15', 'lmfdb_label': '397800.cd5', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 397800.cd does not appear in ec_padic