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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 4, 0, 1, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, -2, 0, 4, 0, -4, 0, -4, -6, 6, -8, -2, -6, -8, 6, 6, 12, -2, -10, 12, -16, 8, 0, 6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 48400, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '48400.w', 'trace_hash': 2230800722424669058}
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ec_padic • Show schema
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id: 2429039
{'lmfdb_iso': '48400.w', 'p': 7, 'prec': 20, 'unit': 5365178328202192, 'val': 1}
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id: 2429043
{'lmfdb_iso': '48400.w', 'p': 13, 'prec': 20, 'unit': 1409041425703414855816, 'val': 1}
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id: 2429046
{'lmfdb_iso': '48400.w', 'p': 19, 'prec': 20, 'unit': 1733850489108151237034507, 'val': 1}
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id: 2429049
{'lmfdb_iso': '48400.w', 'p': 23, 'prec': 20, 'unit': 30169632443036714938250939, 'val': 1}
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id: 2429042
{'lmfdb_iso': '48400.w', 'p': 29, 'prec': 20, 'unit': 936814035665558130075398007, 'val': 1}
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id: 2429054
{'lmfdb_iso': '48400.w', 'p': 31, 'prec': 20, 'unit': 16874701844769066864972091069, 'val': 1}
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id: 2429038
{'lmfdb_iso': '48400.w', 'p': 37, 'prec': 20, 'unit': 475686406414500193998646947806, 'val': 1}
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id: 2429040
{'lmfdb_iso': '48400.w', 'p': 41, 'prec': 20, 'unit': 3628590629261356922685770159890, 'val': 1}
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id: 2429041
{'lmfdb_iso': '48400.w', 'p': 43, 'prec': 20, 'unit': 1546927590057511278017190164207, 'val': 1}
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id: 2429052
{'lmfdb_iso': '48400.w', 'p': 47, 'prec': 20, 'unit': 46040131512789273962059380548045, 'val': 1}
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id: 2429047
{'lmfdb_iso': '48400.w', 'p': 53, 'prec': 20, 'unit': 195239039099905359506668575858637, 'val': 1}
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id: 2429045
{'lmfdb_iso': '48400.w', 'p': 59, 'prec': 20, 'unit': 3616880940258084279898147167584236, 'val': 1}
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id: 2429053
{'lmfdb_iso': '48400.w', 'p': 61, 'prec': 20, 'unit': 3774809740626930521989945322736621, 'val': 1}
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id: 2429037
{'lmfdb_iso': '48400.w', 'p': 67, 'prec': 20, 'unit': 38266001864905996864587354606532847, 'val': 1}
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id: 2429051
{'lmfdb_iso': '48400.w', 'p': 71, 'prec': 20, 'unit': 73640004383629122376450731889458161, 'val': 1}
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id: 2429048
{'lmfdb_iso': '48400.w', 'p': 73, 'prec': 20, 'unit': 127422539726652460567262976272694733, 'val': 1}
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id: 2429044
{'lmfdb_iso': '48400.w', 'p': 79, 'prec': 20, 'unit': 286692997440006545514804836400306553, 'val': 1}
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id: 2429050
{'lmfdb_iso': '48400.w', 'p': 89, 'prec': 20, 'unit': 362950152612001327222842641213917096, 'val': 1}
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id: 2429036
{'lmfdb_iso': '48400.w', 'p': 97, 'prec': 20, 'unit': 21838838975020155898833056483125633938, 'val': 1}
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ec_curvedata • Show schema
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id: 321741
{'Ciso': '48400cp', 'Clabel': '48400cp4', 'Cnumber': 4, 'abc_quality': 0.9734387724171747, 'absD': 235794769100000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -21478508, -38320869512], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 48400, 'degree': 2488320, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7181168786216186746615538203', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154639330142416, 33275], 'lmfdb_iso': '48400.w', 'lmfdb_label': '48400.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7100, -232652], 'min_quad_twist_disc': 220, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.7', '20.6.0.c.1', '30.24.0-6.a.1.4', '44.6.0.a.1', '60.48.0-60.q.1.5', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.155470476966743385797453195', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25235216563208634238538095040', 'prec': 103}, 'szpiro_ratio': 5.7717456980393, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 321740
{'Ciso': '48400cp', 'Clabel': '48400cp3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 3923035470901250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -1347133, -594672762], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 48400, 'degree': 1244160, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3715432883416460199529377596', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '48400.w', 'lmfdb_label': '48400.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], 'min_quad_twist_disc': 220, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0-6.a.1.7', '30.24.0.a.1', '44.6.0.b.1', '60.48.0-30.a.1.3', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.0777352384833716928987265975', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13682763553876212414917559685', 'prec': 103}, 'szpiro_ratio': 5.001649713177948, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 321739
{'Ciso': '48400cp', 'Clabel': '48400cp2', 'Cnumber': 2, 'abc_quality': 0.8781924989889901, 'absD': 1217948187500000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -303508, -36469512], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 48400, 'degree': 829440, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1688107342875638289639312018', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [436334416, 171875], 'lmfdb_iso': '48400.w', 'lmfdb_label': '48400.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, -252], 'min_quad_twist_disc': 220, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.1', '20.6.0.c.1', '30.24.0-6.a.1.3', '44.6.0.a.1', '60.48.0-60.q.1.6', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7184901589889144619324843983', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29695397870196850331224166810', 'prec': 107}, 'szpiro_ratio': 4.58718141428078, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 321738
{'Ciso': '48400cp', 'Clabel': '48400cp1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 6698715031250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, -137133, 19099738], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 48400, 'degree': 414720, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8222371440075911742553151411', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '48400.w', 'lmfdb_label': '48400.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': 220, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0-6.a.1.1', '30.24.0.a.1', '44.6.0.b.1', '60.48.0-30.a.1.9', '132.48.0.?', '220.12.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3592450794944572309662421992', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702165', 'prec': 107}, 'szpiro_ratio': 4.3662386335125465, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}