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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, -4, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 1, 0, 1, -4, -2, 6, -4, 0, 2, 0, 6, 2, -4, 0, 6, -12, 2, 4, 0, 6, -16, -12, -14, -18], 'class_deg': 8, 'class_size': 6, 'conductor': 33600, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '33600.fm', 'trace_hash': 920984175921756358}
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ec_padic • Show schema
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id: 1641137
{'lmfdb_iso': '33600.fm', 'p': 11, 'prec': 20, 'unit': 23202987797083280763, 'val': 1}
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id: 1641135
{'lmfdb_iso': '33600.fm', 'p': 13, 'prec': 20, 'unit': 29562073111242956456, 'val': 2}
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id: 1641138
{'lmfdb_iso': '33600.fm', 'p': 17, 'prec': 20, 'unit': 179087938426900603436966, 'val': 1}
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id: 1641139
{'lmfdb_iso': '33600.fm', 'p': 19, 'prec': 20, 'unit': 1244200161207238301808110, 'val': 1}
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id: 1641134
{'lmfdb_iso': '33600.fm', 'p': 29, 'prec': 20, 'unit': 2284238648228734599498629720, 'val': 1}
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id: 1641131
{'lmfdb_iso': '33600.fm', 'p': 37, 'prec': 20, 'unit': 568356890735569061865726320168, 'val': 1}
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id: 1641132
{'lmfdb_iso': '33600.fm', 'p': 41, 'prec': 20, 'unit': 3129559134575889269777012536995, 'val': 1}
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id: 1641133
{'lmfdb_iso': '33600.fm', 'p': 43, 'prec': 20, 'unit': 6525982521467770940996179940511, 'val': 1}
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id: 1641140
{'lmfdb_iso': '33600.fm', 'p': 53, 'prec': 20, 'unit': 16716934023888493248050066398882, 'val': 1}
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id: 1641143
{'lmfdb_iso': '33600.fm', 'p': 59, 'prec': 20, 'unit': 3376607135502963791849225707116147, 'val': 1}
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id: 1641144
{'lmfdb_iso': '33600.fm', 'p': 61, 'prec': 20, 'unit': 7293228602440329975628439604225528, 'val': 1}
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id: 1641130
{'lmfdb_iso': '33600.fm', 'p': 67, 'prec': 20, 'unit': 21116253924736671696992098587484216, 'val': 1}
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id: 1641141
{'lmfdb_iso': '33600.fm', 'p': 73, 'prec': 20, 'unit': 238454631140465325128879329696147726, 'val': 1}
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id: 1641136
{'lmfdb_iso': '33600.fm', 'p': 79, 'prec': 20, 'unit': 563440760442648190253404483354705520, 'val': 1}
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id: 1641129
{'lmfdb_iso': '33600.fm', 'p': 83, 'prec': 20, 'unit': 16715069150776211087529396279606094, 'val': 1}
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id: 1641142
{'lmfdb_iso': '33600.fm', 'p': 89, 'prec': 20, 'unit': 6307094332566630969909780498173160810, 'val': 1}
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id: 1641128
{'lmfdb_iso': '33600.fm', 'p': 97, 'prec': 20, 'unit': 16826226726780774542567902415356971743, 'val': 1}
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ec_curvedata • Show schema
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id: 223747
{'Ciso': '33600dd', 'Clabel': '33600dd6', 'Cnumber': 6, 'abc_quality': 1.0508747826837916, 'absD': 602112000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -1254433, -541196737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 262144, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9186451104479079221844937035', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 142, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53297461115137, 147], 'lmfdb_iso': '33600.fm', 'lmfdb_label': '33600.fm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -784, -8515], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '16.24.0.e.2', '24.24.0.bl.1', '40.24.0-8.n.1.2', '48.48.0.y.1', '56.24.0.bu.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.1.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0038743391004346883028267071', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854700', 'prec': 107}, 'szpiro_ratio': 5.1562786258560696, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 223745
{'Ciso': '33600dd', 'Clabel': '33600dd4', 'Cnumber': 4, 'abc_quality': 1.0814902740568197, 'absD': 88510464000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 1, 0, -78433, -8468737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 131072, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5720715201679352674758776427', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 142, 'isogeny_degrees': [1, 2, 4], 'jinv': [13027640977, 21609], 'lmfdb_iso': '33600.fm', 'lmfdb_label': '33600.fm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -49, -136], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '12.24.0.c.1', '24.48.0.j.2', '40.48.0-8.e.1.11', '56.48.0.u.1', '120.96.0.?', '168.96.1.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0019371695502173441514133535', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020610', 'prec': 107}, 'szpiro_ratio': 4.358317952001099, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 223744
{'Ciso': '33600dd', 'Clabel': '33600dd3', 'Cnumber': 3, 'abc_quality': 1.0015974661127929, 'absD': 188116992000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -62433, 5947263], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 131072, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5720715201679352674758776427', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 142, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '33600.fm', 'lmfdb_label': '33600.fm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '28.12.0.h.1', '40.48.0-8.bb.1.4', '48.48.0.bf.1', '56.48.0.bl.2', '240.96.0.?', '280.96.0.?', '336.96.1.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.75048429238755433603785333839', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020610', 'prec': 107}, 'szpiro_ratio': 4.292646240009203, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 223746
{'Ciso': '33600dd', 'Clabel': '33600dd5', 'Cnumber': 5, 'abc_quality': 1.042661241253942, 'absD': 70837874688000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -54433, -13724737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 262144, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9186451104479079221844937035', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 142, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4354703137, 17294403], 'lmfdb_iso': '33600.fm', 'lmfdb_label': '33600.fm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, -217], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.bb.2', '12.12.0.g.1', '24.48.0.bj.1', '40.48.0-8.bb.2.8', '112.48.0.?', '120.96.0.?', '336.96.1.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0038743391004346883028267071', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.074205383390939770758265854700', 'prec': 107}, 'szpiro_ratio': 4.451033221053097, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 223743
{'Ciso': '33600dd', 'Clabel': '33600dd2', 'Cnumber': 2, 'abc_quality': 1.1486166056524132, 'absD': 16257024000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 1, 0, -6433, -44737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 65536, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2254979298879626127672615820', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 142, 'isogeny_degrees': [1, 2, 4], 'jinv': [7189057, 3969], 'lmfdb_iso': '33600.fm', 'lmfdb_label': '33600.fm5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4, -1], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '24.48.0.w.2', '28.24.0.c.1', '40.48.0-8.e.2.3', '56.48.0.i.1', '120.96.0.?', '168.96.1.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5009685847751086720757066768', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61894179716900553865896626680', 'prec': 107}, 'szpiro_ratio': 3.6384881613399775, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 223742
{'Ciso': '33600dd', 'Clabel': '33600dd1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 258048000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, 1567, -4737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 32768, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87892433960798995805864552128', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 142, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '33600.fm', 'lmfdb_label': '33600.fm6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '14.6.0.b.1', '16.24.0.e.1', '24.24.0.bz.1', '28.12.0.g.1', '40.24.0-8.n.1.6', '48.48.0.bd.1', '56.24.0.bf.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.1.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], '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': '3.0019371695502173441514133535', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232752', 'prec': 107}, 'szpiro_ratio': 3.2318950536581688, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}