Elliptic curve isogeny class data - 97104.bf

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• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -1, 0, 2, 0, 1, 0, 1, 0, 4, 0, -2, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, -1, 2, 1, 4, -2, 0, -4, 8, -6, 0, 2, -10, 4, 0, 6, 4, -6, 12, -8, 6, 0, 12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 97104, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '97104.bf', 'trace_hash': 361732209977717971}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 5049448
    {'lmfdb_iso': '97104.bf', 'p': 5, 'prec': 20, 'unit': 6980718989388, 'val': 1}
  • id: 5049454
    {'lmfdb_iso': '97104.bf', 'p': 11, 'prec': 20, 'unit': 46121989370479498826, 'val': 1}
  • id: 5049452
    {'lmfdb_iso': '97104.bf', 'p': 13, 'prec': 20, 'unit': 440994579991519995280, 'val': 1}
  • id: 5049455
    {'lmfdb_iso': '97104.bf', 'p': 19, 'prec': 20, 'unit': 1540036771771260681197103, 'val': 1}
  • id: 5049458
    {'lmfdb_iso': '97104.bf', 'p': 23, 'prec': 20, 'unit': 41637476653641856774087516, 'val': 1}
  • id: 5049453
    {'lmfdb_iso': '97104.bf', 'p': 29, 'prec': 20, 'unit': 3470053933677366137669832401, 'val': 1}
  • id: 5049462
    {'lmfdb_iso': '97104.bf', 'p': 37, 'prec': 20, 'unit': 512059614883716917058338173644, 'val': 1}
  • id: 5049450
    {'lmfdb_iso': '97104.bf', 'p': 41, 'prec': 20, 'unit': 875344061121611238629106641026, 'val': 1}
  • id: 5049451
    {'lmfdb_iso': '97104.bf', 'p': 43, 'prec': 20, 'unit': 2443150934207518367152524753506, 'val': 1}
  • id: 5049456
    {'lmfdb_iso': '97104.bf', 'p': 53, 'prec': 20, 'unit': 570803596168956918952394604885357, 'val': 1}
  • id: 5049460
    {'lmfdb_iso': '97104.bf', 'p': 59, 'prec': 20, 'unit': 14106089557573064209108779484168, 'val': 1}
  • id: 5049461
    {'lmfdb_iso': '97104.bf', 'p': 61, 'prec': 20, 'unit': 1763639940619163772348480077882178, 'val': 1}
  • id: 5049447
    {'lmfdb_iso': '97104.bf', 'p': 67, 'prec': 20, 'unit': 44385981561211443427165727754003033, 'val': 1}
  • id: 5049449
    {'lmfdb_iso': '97104.bf', 'p': 71, 'prec': 20, 'unit': 50928428690715439263732917993031027, 'val': 1}
  • id: 5049457
    {'lmfdb_iso': '97104.bf', 'p': 73, 'prec': 20, 'unit': 80044514878580317087200242891631440, 'val': 1}
  • id: 5049446
    {'lmfdb_iso': '97104.bf', 'p': 83, 'prec': 20, 'unit': 2885650532934651008372247160966673985, 'val': 1}
  • id: 5049459
    {'lmfdb_iso': '97104.bf', 'p': 89, 'prec': 20, 'unit': 8545241960041176960192074901418868358, 'val': 1}
  • id: 5049445
    {'lmfdb_iso': '97104.bf', 'p': 97, 'prec': 20, 'unit': 6073252372521513839590739204688791516, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 638892
    {'Ciso': '97104cb', 'Clabel': '97104cb6', 'Cnumber': 6, 'abc_quality': 1.0624727966937526, 'absD': 1773784894103723876787191808, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, -1, 0, -63434824992, 6149519774744832], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 97104, 'degree': 212336640, 'elladic_images': ['16.96.0.247'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6888828219110711120768065515', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [285531136548675601769470657, 17941034271597192], 'lmfdb_iso': '97104.bf', 'lmfdb_label': '97104.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13718604, -19563199515], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '16.96.0-8.p.1.4', '68.12.0-4.c.1.2', '136.96.0.?', '272.192.1.?'], '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': '13.090341856646324292704916001', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 7.50930947297126, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 638890
    {'Ciso': '97104cb', 'Clabel': '97104cb4', 'Cnumber': 4, 'abc_quality': 1.07814467781823, 'absD': 54621216874368083277205733376, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [0, -1, 0, -3972219552, 95703270024960], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 97104, 'degree': 106168320, 'elladic_images': ['8.96.0.128'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3423092316310984573681904908', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4], 'jinv': [70108386184777836280897, 552468975892674624], 'lmfdb_iso': '97104.bf', 'lmfdb_label': '97104.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -859044, -304722459], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.f.1.6', '68.24.0-4.b.1.3', '136.192.1.?'], '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': '26.180683713292648585409832002', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910604', 'prec': 100}, 'szpiro_ratio': 6.785485155658, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 638891
    {'Ciso': '97104cb', 'Clabel': '97104cb5', 'Cnumber': 5, 'abc_quality': 1.0817271650752718, 'absD': 20754751460626146918814356897792, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, -1, 0, -1353000992, 220023955131648], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 97104, 'degree': 212336640, 'elladic_images': ['16.96.0.305'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6888828219110711120768065515', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2770540998624539614657, 209924951154647363208], 'lmfdb_iso': '97104.bf', 'lmfdb_label': '97104.bf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -292604, -699871003], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.k.1.4', '16.96.0-16.e.1.3', '68.12.0-4.c.1.2', '136.96.0.?', '272.192.1.?'], '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': '52.361367426585297170819664004', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 6.929280643073957, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 638888
    {'Ciso': '97104cb', 'Clabel': '97104cb2', 'Cnumber': 2, 'abc_quality': 1.0972067382550121, 'absD': 4426552555117767382234300416, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [0, -1, 0, -419507872, -831011744000], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 97104, 'degree': 53084160, 'elladic_images': ['8.96.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9957356413511258026595744301', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4], 'jinv': [82582985847542515777, 44772582831427584], 'lmfdb_iso': '97104.bf', 'lmfdb_label': '97104.bf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -90724, 2605541], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.96.0-8.i.1.7', '68.48.0-68.c.1.3', '136.192.1.?'], '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': '13.090341856646324292704916001', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8859817887630724531175749997', 'prec': 100}, 'szpiro_ratio': 6.198210213911685, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 638887
    {'Ciso': '97104cb', 'Clabel': '97104cb1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 5484025587789877915680768, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, -1, 0, -324808352, -2250216630528], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 97104, 'degree': 26542080, 'elladic_images': ['16.96.0.166'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6491620510711531479509583693', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '97104.bf', 'lmfdb_label': '97104.bf5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.1.6', '16.96.0-16.z.1.8', '34.6.0.a.1', '68.24.0-68.g.1.1', '136.96.0.?', '272.192.1.?'], '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': '6.5451709283231621463524580005', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589389', 'prec': 100}, 'szpiro_ratio': 6.131371847938143, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 638889
    {'Ciso': '97104cb', 'Clabel': '97104cb3', 'Cnumber': 3, 'abc_quality': 1.06742381122777, 'absD': 289558308327608257567080579072, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, -1, 0, 1618011488, -6537695967488], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 97104, 'degree': 106168320, 'elladic_images': ['16.96.0.123'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3423092316310984573681904908', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4738217997934888496063, 2928751705237796928], 'lmfdb_iso': '97104.bf', 'lmfdb_label': '97104.bf6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 349916, 20936165], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.2.5', '16.96.0-16.z.2.6', '68.24.0-68.h.1.2', '136.96.0.?', '272.192.1.?'], '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': '26.180683713292648585409832002', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910604', 'prec': 100}, 'szpiro_ratio': 6.550855258578279, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}