Elliptic curve isogeny class data - 1872.e

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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, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -2, 0, 0, 1, -2, 4, 0, -6, 0, -2, -6, 12, -4, -6, -8, -2, -4, -12, -14, 0, 8, 18, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 1872, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1872.e', 'trace_hash': 1311746732148815824}
• ec_padic •

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

  
  
  • id: 53385
    {'lmfdb_iso': '1872.e', 'p': 5, 'prec': 20, 'unit': 1441094973634, 'val': 2}
  • id: 53378
    {'lmfdb_iso': '1872.e', 'p': 17, 'prec': 20, 'unit': 107662076420009938942970, 'val': 1}
  • id: 53369
    {'lmfdb_iso': '1872.e', 'p': 19, 'prec': 20, 'unit': 680640542565111368088191, 'val': 1}
  • id: 53376
    {'lmfdb_iso': '1872.e', 'p': 29, 'prec': 20, 'unit': 593488398077877079219709821, 'val': 1}
  • id: 53372
    {'lmfdb_iso': '1872.e', 'p': 37, 'prec': 20, 'unit': 208496650407368377913708955556, 'val': 1}
  • id: 53374
    {'lmfdb_iso': '1872.e', 'p': 41, 'prec': 20, 'unit': 1558176412375877769289824465873, 'val': 1}
  • id: 53375
    {'lmfdb_iso': '1872.e', 'p': 43, 'prec': 20, 'unit': 6789964918510116046300429477896, 'val': 1}
  • id: 53377
    {'lmfdb_iso': '1872.e', 'p': 47, 'prec': 20, 'unit': 17396929095682784619516971590434, 'val': 1}
  • id: 53380
    {'lmfdb_iso': '1872.e', 'p': 53, 'prec': 20, 'unit': 190870801973215195180771453981637, 'val': 1}
  • id: 53383
    {'lmfdb_iso': '1872.e', 'p': 59, 'prec': 20, 'unit': 2308422139180611419827007897929318, 'val': 1}
  • id: 53384
    {'lmfdb_iso': '1872.e', 'p': 61, 'prec': 20, 'unit': 8264965710248944194111220800218529, 'val': 1}
  • id: 53371
    {'lmfdb_iso': '1872.e', 'p': 67, 'prec': 20, 'unit': 48785493750139963863436293157429348, 'val': 1}
  • id: 53373
    {'lmfdb_iso': '1872.e', 'p': 71, 'prec': 20, 'unit': 58456679386803409066884305327740848, 'val': 1}
  • id: 53381
    {'lmfdb_iso': '1872.e', 'p': 73, 'prec': 20, 'unit': 92400720231886774220386917952281558, 'val': 1}
  • id: 53379
    {'lmfdb_iso': '1872.e', 'p': 83, 'prec': 20, 'unit': 1751194918910164542314323299936437570, 'val': 1}
  • id: 53382
    {'lmfdb_iso': '1872.e', 'p': 89, 'prec': 20, 'unit': 970282357669959500600329656968653826, 'val': 1}
  • id: 53370
    {'lmfdb_iso': '1872.e', 'p': 97, 'prec': 20, 'unit': 24508108208143714577864732243748790887, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 10504
    {'Ciso': '1872i', 'Clabel': '1872i3', 'Cnumber': 3, 'abc_quality': 1.052193877800105, 'absD': 29113344, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -7491, -249550], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 1024, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75243146883677382400761995902', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [62275269892, 39], 'lmfdb_iso': '1872.e', 'lmfdb_label': '1872.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -832, -9520], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.z.1.16', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2779615114796782908413111404', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942732', 'prec': 107}, 'szpiro_ratio': 5.093455164605873, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10503
    {'Ciso': '1872i', 'Clabel': '1872i2', 'Cnumber': 2, 'abc_quality': 0.9871496807008809, 'absD': 283855104, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 156, 'ainvs': [0, 0, 0, -471, -3850], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 512, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40585787855680116929900389829', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [61918288, 1521], 'lmfdb_iso': '1872.e', 'lmfdb_label': '1872.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -52, -160], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.b.1.1', '52.24.0-52.b.1.3', '156.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6389807557398391454206555702', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60554638615055054934344013448', 'prec': 107}, 'szpiro_ratio': 3.9919210045295364, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 10502
    {'Ciso': '1872i', 'Clabel': '1872i1', 'Cnumber': 1, 'abc_quality': 0.9241957238555172, 'absD': 12282192, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -66, 119], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 256, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.059284288276828514590387837565', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 1053], 'lmfdb_iso': '1872.e', 'lmfdb_label': '1872.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 2], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.1', '24.24.0-24.z.1.12', '26.6.0.b.1', '52.12.0.g.1', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3194903778699195727103277851', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72107091624387476757964548805', 'prec': 107}, 'szpiro_ratio': 3.209466357406256, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10505
    {'Ciso': '1872i', 'Clabel': '1872i4', 'Cnumber': 4, 'abc_quality': 1.0753683800031117, 'absD': 63962016768, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, 69, -12166], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 1024, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75243146883677382400761995902', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [48668, 85683], 'lmfdb_iso': '1872.e', 'lmfdb_label': '1872.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 8, -448], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '6.6.0.a.1', '12.24.0-12.g.1.2', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3194903778699195727103277851', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942732', 'prec': 107}, 'szpiro_ratio': 4.2915680186909855, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}