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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, -2, 0, 4, 0], 'aplist': [0, -1, 0, -1, 4, 2, -2, 4, 0, -10, 0, -6, -6, -4, -8, -6, 4, -10, 4, 16, 14, -8, -4, 10, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 8400, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '8400.l', 'trace_hash': 1874192633942757876}
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ec_padic • Show schema
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id: 347328
{'lmfdb_iso': '8400.l', 'p': 11, 'prec': 20, 'unit': 27914097677709754326, 'val': 1}
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id: 347334
{'lmfdb_iso': '8400.l', 'p': 13, 'prec': 20, 'unit': 1300177347372926098045, 'val': 1}
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id: 347336
{'lmfdb_iso': '8400.l', 'p': 17, 'prec': 20, 'unit': 120999278316857472672608, 'val': 1}
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id: 347337
{'lmfdb_iso': '8400.l', 'p': 19, 'prec': 20, 'unit': 718427676531387424051874, 'val': 1}
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id: 347333
{'lmfdb_iso': '8400.l', 'p': 29, 'prec': 20, 'unit': 2254025068543356538412148554, 'val': 1}
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id: 347329
{'lmfdb_iso': '8400.l', 'p': 37, 'prec': 20, 'unit': 231595540339876050382490910356, 'val': 1}
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id: 347331
{'lmfdb_iso': '8400.l', 'p': 41, 'prec': 20, 'unit': 2544785972674854314149756076688, 'val': 1}
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id: 347332
{'lmfdb_iso': '8400.l', 'p': 43, 'prec': 20, 'unit': 8306128145941795324418301450893, 'val': 1}
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id: 347343
{'lmfdb_iso': '8400.l', 'p': 47, 'prec': 20, 'unit': 6379554405343778109225035903202, 'val': 1}
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id: 347338
{'lmfdb_iso': '8400.l', 'p': 53, 'prec': 20, 'unit': 513668746433472786851010852317936, 'val': 1}
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id: 347339
{'lmfdb_iso': '8400.l', 'p': 59, 'prec': 20, 'unit': 2377208950586062391512563708641831, 'val': 1}
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id: 347344
{'lmfdb_iso': '8400.l', 'p': 61, 'prec': 20, 'unit': 7724928476427688862936507838842996, 'val': 1}
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id: 347327
{'lmfdb_iso': '8400.l', 'p': 67, 'prec': 20, 'unit': 8391567063414735459920400662894609, 'val': 1}
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id: 347330
{'lmfdb_iso': '8400.l', 'p': 71, 'prec': 20, 'unit': 3257368735930638647794796778926835, 'val': 1}
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id: 347340
{'lmfdb_iso': '8400.l', 'p': 73, 'prec': 20, 'unit': 38645693248115759714690714685183248, 'val': 1}
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id: 347335
{'lmfdb_iso': '8400.l', 'p': 79, 'prec': 20, 'unit': 123741490557280280146152787801926555, 'val': 1}
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id: 347341
{'lmfdb_iso': '8400.l', 'p': 83, 'prec': 20, 'unit': 933889531979354571734846414012114158, 'val': 1}
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id: 347342
{'lmfdb_iso': '8400.l', 'p': 89, 'prec': 20, 'unit': 6417893616960794397909798552801196940, 'val': 1}
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id: 347326
{'lmfdb_iso': '8400.l', 'p': 97, 'prec': 20, 'unit': 6498800245737653892499482340883773012, 'val': 1}
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ec_curvedata • Show schema
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id: 53990
{'Ciso': '8400c', 'Clabel': '8400c5', 'Cnumber': 5, 'abc_quality': 0.9945848677395916, 'absD': 51438240000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -262008, 51706512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 49152, 'elladic_images': ['8.24.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7376340299957262321216160201', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62161150998242, 1607445], 'lmfdb_iso': '8400.l', 'lmfdb_label': '8400.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10480, -409460], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.4', '20.12.0-4.c.1.2', '40.48.0-40.bp.1.8', '48.48.0-48.e.1.14', '56.48.0-56.bu.2.16', '240.96.0.?', '280.96.0.?', '336.96.0.?', '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': '0.80058150776409354774799208836', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29753015826539284452210690882', 'prec': 103}, 'szpiro_ratio': 5.427409079009235, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 53988
{'Ciso': '8400c', 'Clabel': '8400c3', 'Cnumber': 3, 'abc_quality': 0.9425087047318286, 'absD': 77792400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -17008, 746512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 24576, 'elladic_images': ['8.24.0.19'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3910604397157535774129999593', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [34008619684, 4862025], 'lmfdb_iso': '8400.l', 'lmfdb_label': '8400.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -680, -5700], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.6', '20.24.0-4.b.1.3', '24.48.0-24.i.2.30', '40.48.0-40.e.1.12', '56.48.0-56.h.2.30', '120.96.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6011630155281870954959841767', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0087188330320822989315935248056', 'prec': 110}, 'szpiro_ratio': 4.5194818450167835, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 53987
{'Ciso': '8400c', 'Clabel': '8400c2', 'Cnumber': 2, 'abc_quality': 0.9000658191294795, 'absD': 1102500000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, -1, 0, -4508, -103488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 12288, 'elladic_images': ['8.24.0.26'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0444868494357809227043838986', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [2533446736, 275625], 'lmfdb_iso': '8400.l', 'lmfdb_label': '8400.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -180, 900], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.4', '20.24.0-4.b.1.1', '24.48.0-24.i.1.21', '40.48.0-40.l.1.12', '56.48.0-56.h.1.7', '84.24.0.?', '120.96.0.?', '168.96.0.?', '280.96.0.?', '420.48.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2023260310563741909919683534', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22233022715456613754081718232', 'prec': 107}, 'szpiro_ratio': 4.078652563326045, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 53986
{'Ciso': '8400c', 'Clabel': '8400c1', 'Cnumber': 1, 'abc_quality': 0.9605836908258326, 'absD': 131250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -4383, -110238], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 6144, 'elladic_images': ['16.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.69791325915580826799576783788', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [37256083456, 525], 'lmfdb_iso': '8400.l', 'lmfdb_label': '8400.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 952], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.3', '20.12.0-4.c.1.1', '24.24.0-8.n.1.8', '40.24.0-8.n.1.5', '42.6.0.a.1', '48.48.0-48.e.2.13', '56.24.0-8.n.1.8', '80.48.0.?', '84.12.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '420.24.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4046520621127483819839367069', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33785475724789035577702253589', 'prec': 107}, 'szpiro_ratio': 4.069317202566017, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 53989
{'Ciso': '8400c', 'Clabel': '8400c4', 'Cnumber': 4, 'abc_quality': 0.9617149979611352, 'absD': 131250000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 5992, -523488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 24576, 'elladic_images': ['16.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3910604397157535774129999593', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1486779836, 8203125], 'lmfdb_iso': '8400.l', 'lmfdb_label': '8400.l5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 240, 4092], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.3', '20.12.0-4.c.1.1', '24.24.0.bz.2', '40.24.0-8.n.1.5', '48.48.0-24.bz.2.15', '56.24.0.bu.1', '80.48.0.?', '84.12.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '420.24.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4046520621127483819839367069', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0087188330320822989315935248056', 'prec': 110}, 'szpiro_ratio': 4.410369249196051, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 53991
{'Ciso': '8400c', 'Clabel': '8400c6', 'Cnumber': 6, 'abc_quality': 0.9884224063998598, 'absD': 8301313440000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, 27992, 3986512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8400, 'degree': 49152, 'elladic_images': ['8.24.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7376340299957262321216160201', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [75798394558, 259416045], 'lmfdb_iso': '8400.l', 'lmfdb_label': '8400.l6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1120, -32340], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.8', '20.12.0-4.c.1.2', '24.48.0-24.bz.1.16', '40.48.0-40.bl.1.8', '112.48.0.?', '120.96.0.?', '336.96.0.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2023260310563741909919683534', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29753015826539284452210690882', 'prec': 103}, 'szpiro_ratio': 4.861082211030976, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}