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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, -2, 0, 0, -1, 0, -2, 0, -3, 2, -5, 0, 0, 4, -3, 0, 2, 0], 'aplist': [0, -1, 0, -1, -3, -5, -3, 2, 6, 3, -4, -2, -12, 10, -9, -12, 0, 8, 4, 0, -2, -1, -12, -12, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 175, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '175.b', 'trace_hash': 1063297460411495036}
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ec_padic • Show schema
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id: 1196
{'lmfdb_iso': '175.b', 'p': 11, 'prec': 20, 'unit': 963255498279953825, 'val': 1}
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id: 1198
{'lmfdb_iso': '175.b', 'p': 13, 'prec': 20, 'unit': 778459784063451005495, 'val': 1}
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id: 1200
{'lmfdb_iso': '175.b', 'p': 17, 'prec': 20, 'unit': 75893445976642258893681, 'val': 1}
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id: 1201
{'lmfdb_iso': '175.b', 'p': 19, 'prec': 20, 'unit': 1862619555178921661091222, 'val': 1}
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id: 1204
{'lmfdb_iso': '175.b', 'p': 23, 'prec': 20, 'unit': 27326666184706351128615517, 'val': 1}
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id: 1197
{'lmfdb_iso': '175.b', 'p': 29, 'prec': 20, 'unit': 1496105614522645650478227042, 'val': 1}
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id: 1209
{'lmfdb_iso': '175.b', 'p': 31, 'prec': 20, 'unit': 14052671962534597491094988274, 'val': 1}
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id: 1194
{'lmfdb_iso': '175.b', 'p': 37, 'prec': 20, 'unit': 587657574709032690012631812930, 'val': 1}
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id: 1195
{'lmfdb_iso': '175.b', 'p': 41, 'prec': 20, 'unit': 2174232302569593368616837561927, 'val': 1}
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id: 1193
{'lmfdb_iso': '175.b', 'p': 43, 'prec': 20, 'unit': 9428109604889390590194116785731, 'val': 1}
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id: 1199
{'lmfdb_iso': '175.b', 'p': 47, 'prec': 20, 'unit': 52292678220886134219413544674104, 'val': 1}
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id: 1202
{'lmfdb_iso': '175.b', 'p': 53, 'prec': 20, 'unit': 444890687066571678639359319630506, 'val': 1}
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id: 1207
{'lmfdb_iso': '175.b', 'p': 61, 'prec': 20, 'unit': 2319808628303612042365274534369996, 'val': 1}
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id: 1192
{'lmfdb_iso': '175.b', 'p': 67, 'prec': 20, 'unit': 39236579365078246258770137043305603, 'val': 1}
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id: 1203
{'lmfdb_iso': '175.b', 'p': 73, 'prec': 20, 'unit': 29419088976080264242276273151024552, 'val': 1}
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id: 1206
{'lmfdb_iso': '175.b', 'p': 79, 'prec': 20, 'unit': 829324728122172940552691369329101516, 'val': 1}
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id: 1208
{'lmfdb_iso': '175.b', 'p': 83, 'prec': 20, 'unit': 2162665245673131704335453585971505036, 'val': 1}
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id: 1205
{'lmfdb_iso': '175.b', 'p': 89, 'prec': 20, 'unit': 2187674837702393070850498292601055482, 'val': 1}
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id: 1191
{'lmfdb_iso': '175.b', 'p': 97, 'prec': 20, 'unit': 2826675213385311080699751148462380136122, 'val': -1}
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ec_curvedata • Show schema
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id: 625
{'Ciso': '175b', 'Clabel': '175b3', 'Cnumber': 3, 'abc_quality': 1.0211201298201755, 'absD': 213623046875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, -1, 1, -3283, -74657], 'analytic_rank': 1, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 175, 'degree': 144, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93218107984805492160804756825', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [-250523582464, 13671875], 'lmfdb_iso': '175.b', 'lmfdb_label': '175.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -131, -650], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '15.8.0-3.a.1.1', '42.8.0-3.a.1.1', '45.24.0-9.a.1.2', '63.36.0.e.2', '70.2.0.a.1', '126.72.0.?', '210.16.0.?', '315.72.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83316000421927884699261405250', 'prec': 103}, 'semistable': False, 'serre_invariants': [[5, 18, 7], [7, 8, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12746212363100473430766790164', 'prec': 103}, 'szpiro_ratio': 6.969032932721161, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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id: 623
{'Ciso': '175b', 'Clabel': '175b1', 'Cnumber': 1, 'abc_quality': 0.8871538351825968, 'absD': 546875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, -1, 1, -33, 93], 'analytic_rank': 1, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 175, 'degree': 16, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.16643120882005476978719766867', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [-262144, 35], 'lmfdb_iso': '175.b', 'lmfdb_label': '175.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1, 0], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '15.8.0-3.a.1.2', '42.8.0-3.a.1.2', '45.24.0-9.a.1.1', '63.36.0.e.1', '70.2.0.a.1', '126.72.0.?', '210.16.0.?', '315.72.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.092573333802142094110290450277', 'prec': 107}, 'semistable': False, 'serre_invariants': [[5, 18, 7], [7, 8, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97115016503710495708757733528', 'prec': 107}, 'szpiro_ratio': 4.325613960548165, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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id: 624
{'Ciso': '175b', 'Clabel': '175b2', 'Cnumber': 2, 'abc_quality': 1.0649344898971125, 'absD': 669921875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, -1, 1, 217, -282], 'analytic_rank': 1, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 175, 'degree': 48, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38287493551400007591042494979', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '175.b', 'lmfdb_label': '175.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': 5, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '15.24.0-3.a.1.1', '42.24.0-3.a.1.1', '63.36.0.b.1', '70.2.0.a.1', '126.72.0.?', '210.48.1.?', '315.72.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27772000140642628233087135083', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 2, 25], [5, 18, 7], [7, 8, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471682', 'prec': 107}, 'szpiro_ratio': 5.372668566614126, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}