Elliptic curve isogeny class data - 2142.h

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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, -1, 0, 1, 2, 0, 1, -1, 0, -2, -4, 0, -2, -1, 0, 1, -1, 0, 4, 2], 'aplist': [-1, 0, 2, 1, -4, -2, -1, 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': 2142, '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': '2142.h', 'trace_hash': 1364658063474110909}
• ec_padic •

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

  
  
  • id: 63259
    {'lmfdb_iso': '2142.h', 'p': 5, 'prec': 20, 'unit': 11893034519871, 'val': 1}
  • id: 63265
    {'lmfdb_iso': '2142.h', 'p': 11, 'prec': 20, 'unit': 18056368733268277421, 'val': 1}
  • id: 63263
    {'lmfdb_iso': '2142.h', 'p': 13, 'prec': 20, 'unit': 88860595354652225837, 'val': 1}
  • id: 63266
    {'lmfdb_iso': '2142.h', 'p': 19, 'prec': 20, 'unit': 1010129612598243884961319, 'val': 1}
  • id: 63269
    {'lmfdb_iso': '2142.h', 'p': 23, 'prec': 20, 'unit': 51222849870899991043653990, 'val': 1}
  • id: 63264
    {'lmfdb_iso': '2142.h', 'p': 29, 'prec': 20, 'unit': 2508739357058489627780961271, 'val': 1}
  • id: 63273
    {'lmfdb_iso': '2142.h', 'p': 37, 'prec': 20, 'unit': 213615074852768279218609729349, 'val': 1}
  • id: 63261
    {'lmfdb_iso': '2142.h', 'p': 41, 'prec': 20, 'unit': 3752457310565908272517084630743, 'val': 1}
  • id: 63262
    {'lmfdb_iso': '2142.h', 'p': 43, 'prec': 20, 'unit': 7763987662378607568391263570448, 'val': 1}
  • id: 63267
    {'lmfdb_iso': '2142.h', 'p': 53, 'prec': 20, 'unit': 52562550190558574482302791268005, 'val': 1}
  • id: 63271
    {'lmfdb_iso': '2142.h', 'p': 59, 'prec': 20, 'unit': 2268533555108393790082967772609171, 'val': 1}
  • id: 63272
    {'lmfdb_iso': '2142.h', 'p': 61, 'prec': 20, 'unit': 3760840245335307669767357621648351, 'val': 1}
  • id: 63258
    {'lmfdb_iso': '2142.h', 'p': 67, 'prec': 20, 'unit': 40303616871569770934244738799004316, 'val': 1}
  • id: 63260
    {'lmfdb_iso': '2142.h', 'p': 71, 'prec': 20, 'unit': 140027995176361771244588493165675396, 'val': 1}
  • id: 63268
    {'lmfdb_iso': '2142.h', 'p': 73, 'prec': 20, 'unit': 96721565481566258030915404018752713, 'val': 1}
  • id: 63257
    {'lmfdb_iso': '2142.h', 'p': 83, 'prec': 20, 'unit': 2826679793645879043172955058300756823, 'val': 1}
  • id: 63270
    {'lmfdb_iso': '2142.h', 'p': 89, 'prec': 20, 'unit': 9386932494557246661969237249627510429, 'val': 1}
  • id: 63256
    {'lmfdb_iso': '2142.h', 'p': 97, 'prec': 20, 'unit': 14846377214031307484284630518508439365, '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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 12184
    {'Ciso': '2142g', 'Clabel': '2142g5', 'Cnumber': 5, 'abc_quality': 1.0624727966937526, 'absD': 13079013983994352968, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, -123467436, 528082919464], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2142, 'degree': 245760, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1284351136570726082324297396', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [285531136548675601769470657, 17941034271597192], 'lmfdb_iso': '2142.h', 'lmfdb_label': '2142.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13718604, -19563199515], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '12.12.0-4.c.1.1', '24.96.0-8.p.1.1', '272.96.1.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.5779767584903157369850026729', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 119], [7, 8, 306], [17, 18, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 8.802152532509949, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 12182
    {'Ciso': '2142g', 'Clabel': '2142g3', 'Cnumber': 3, 'abc_quality': 1.07814467781823, 'absD': 402749883425759800896, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [1, -1, 0, -7731396, 8219774992], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2142, 'degree': 122880, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7818615233770999535238136789', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [70108386184777836280897, 552468975892674624], 'lmfdb_iso': '2142.h', 'lmfdb_label': '2142.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -859044, -304722459], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '12.24.0-4.b.1.1', '24.96.0-8.f.1.1', '136.96.1.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7889883792451578684925013364', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 119], [7, 8, 306], [17, 18, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910604', 'prec': 100}, 'szpiro_ratio': 7.718370135991453, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 12185
    {'Ciso': '2142g', 'Clabel': '2142g6', 'Cnumber': 6, 'abc_quality': 1.0817271650752718, 'absD': 153035289391737927778632, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, -2633436, 18893883640], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2142, 'degree': 245760, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1284351136570726082324297396', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2770540998624539614657, 209924951154647363208], 'lmfdb_iso': '2142.h', 'lmfdb_label': '2142.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -292604, -699871003], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '12.12.0-4.c.1.1', '16.48.0.e.1', '24.48.0-8.k.1.6', '48.96.0-16.e.1.4', '136.48.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.5779767584903157369850026729', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 119], [7, 8, 306], [17, 18, 126]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 7.933675168210708, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 12181
    {'Ciso': '2142g', 'Clabel': '2142g2', 'Cnumber': 2, 'abc_quality': 1.0972067382550121, 'absD': 32639212884110708736, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [1, -1, 0, -816516, -71166128], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2142, 'degree': 61440, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4352879330971272988151976181', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [82582985847542515777, 44772582831427584], 'lmfdb_iso': '2142.h', 'lmfdb_label': '2142.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -90724, 2605541], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '12.24.0-4.b.1.3', '24.96.0-8.i.1.3', '68.24.0.c.1', '136.96.1.?', '204.48.0.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8944941896225789342462506682', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 119], [7, 8, 306], [17, 18, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8859817887630724531175749996', 'prec': 100}, 'szpiro_ratio': 6.839043165955957, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 12180
    {'Ciso': '2142g', 'Clabel': '2142g1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 40436496888496128, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, -632196, -193075376], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2142, 'degree': 30720, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0887143428171546441065815574', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '2142.h', 'lmfdb_label': '2142.h5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.2', '16.48.0.z.1', '24.48.0-8.bb.1.2', '34.6.0.a.1', '48.96.0-16.z.1.2', '68.12.0.g.1', '136.48.0.?', '204.24.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], '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': '3.7889883792451578684925013364', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 153], [3, 8, 119], [7, 8, 306], [17, 18, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589389', 'prec': 100}, 'szpiro_ratio': 6.738966057849026, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 12183
    {'Ciso': '2142g', 'Clabel': '2142g4', 'Cnumber': 4, 'abc_quality': 1.06742381122777, 'absD': 2135059993118353960512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, 3149244, -562127216], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2142, 'degree': 122880, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7818615233770999535238136789', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4738217997934888496063, 2928751705237796928], 'lmfdb_iso': '2142.h', 'lmfdb_label': '2142.h6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 349916, 20936165], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0-4.c.1.2', '16.48.0.z.2', '24.48.0-8.bb.2.5', '48.96.0-16.z.2.5', '68.12.0.h.1', '136.48.0.?', '204.24.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.94724709481128946712312533411', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 153], [3, 8, 119], [7, 8, 306], [17, 18, 126]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910604', 'prec': 100}, 'szpiro_ratio': 7.367058711285759, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}