Elliptic curve isogeny class data - 8112.g

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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, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, -6, 0], 'aplist': [0, -1, -2, 2, 0, 0, 2, -6, 4, -10, 10, 8, -10, 4, 12, -6, -4, 2, -2, 0, -4, 0, -4, -6, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 8112, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '8112.g', 'trace_hash': 1880527236372348963}
• ec_padic •

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

  
  
  • id: 334002
    {'lmfdb_iso': '8112.g', 'p': 5, 'prec': 20, 'unit': 1923144364316, 'val': 2}
  • id: 334003
    {'lmfdb_iso': '8112.g', 'p': 7, 'prec': 20, 'unit': 2262232473011586, 'val': 1}
  • id: 334009
    {'lmfdb_iso': '8112.g', 'p': 17, 'prec': 20, 'unit': 74212755888974529259368, 'val': 1}
  • id: 333999
    {'lmfdb_iso': '8112.g', 'p': 19, 'prec': 20, 'unit': 518797308723066289562725, 'val': 1}
  • id: 334013
    {'lmfdb_iso': '8112.g', 'p': 23, 'prec': 20, 'unit': 33990479980406765010209526, 'val': 1}
  • id: 334007
    {'lmfdb_iso': '8112.g', 'p': 29, 'prec': 20, 'unit': 2898131057105410190189479409, 'val': 1}
  • id: 334004
    {'lmfdb_iso': '8112.g', 'p': 31, 'prec': 20, 'unit': 20038421019441636678339802400, 'val': 1}
  • id: 334017
    {'lmfdb_iso': '8112.g', 'p': 37, 'prec': 20, 'unit': 189700963739238506035632608544, 'val': 1}
  • id: 334005
    {'lmfdb_iso': '8112.g', 'p': 41, 'prec': 20, 'unit': 3912072210818377758243366513525, 'val': 1}
  • id: 334006
    {'lmfdb_iso': '8112.g', 'p': 43, 'prec': 20, 'unit': 7936699447437662248696883232972, 'val': 1}
  • id: 334008
    {'lmfdb_iso': '8112.g', 'p': 47, 'prec': 20, 'unit': 2579772057825626537917203933761, 'val': 1}
  • id: 334011
    {'lmfdb_iso': '8112.g', 'p': 53, 'prec': 20, 'unit': 294979595693702824609074487616432, 'val': 1}
  • id: 334015
    {'lmfdb_iso': '8112.g', 'p': 59, 'prec': 20, 'unit': 248793843276097510014743443670131, 'val': 1}
  • id: 334016
    {'lmfdb_iso': '8112.g', 'p': 61, 'prec': 20, 'unit': 6716838004917842631421345482203868, 'val': 1}
  • id: 334001
    {'lmfdb_iso': '8112.g', 'p': 67, 'prec': 20, 'unit': 43367642811656690782535238780744233, 'val': 1}
  • id: 334012
    {'lmfdb_iso': '8112.g', 'p': 73, 'prec': 20, 'unit': 217877050436731913830735394643066082, 'val': 1}
  • id: 334010
    {'lmfdb_iso': '8112.g', 'p': 83, 'prec': 20, 'unit': 2244215338179156540820819119991515854, 'val': 1}
  • id: 334014
    {'lmfdb_iso': '8112.g', 'p': 89, 'prec': 20, 'unit': 3989957587494792867186935049772240823, 'val': 1}
  • id: 334000
    {'lmfdb_iso': '8112.g', 'p': 97, 'prec': 20, 'unit': 9603015521447534530138252571427806446, '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: 52125
    {'Ciso': '8112y', 'Clabel': '8112y4', 'Cnumber': 4, 'abc_quality': 1.0923393619522563, 'absD': 82933972992, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 780, 'ainvs': [0, -1, 0, -1135944, -465618960], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 57600, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8631530339327146520457834595', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [18013780041269221, 9216], 'lmfdb_iso': '8112.g', 'lmfdb_label': '8112.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -70997, 7275296], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.36.0.b.1', '12.6.0.f.1', '26.6.0.b.1', '60.72.1.dy.1', '65.12.0.a.1', '130.72.1.?', '156.12.0.?', '260.144.1.?', '780.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6518925064331426323428295743', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 2704], [13, 50, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52876851400738515861517947765', 'prec': 103}, 'szpiro_ratio': 5.937333135361462, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 52124
    {'Ciso': '8112y', 'Clabel': '8112y3', 'Cnumber': 3, 'abc_quality': 1.065057693637064, 'absD': 28308129447936, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 780, 'ainvs': [0, -1, 0, -70984, -7260176], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 28800, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5165794436527419973371673987', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-4395631034341, 3145728], 'lmfdb_iso': '8112.g', 'lmfdb_label': '8112.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4437, 113440], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.b.2', '30.36.0.c.1', '52.6.0.c.1', '60.72.1.dt.1', '65.12.0.a.1', '78.6.0.?', '130.36.0.?', '156.12.0.?', '260.144.1.?', '390.72.1.?', '780.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.303785012866285264685659149', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 2704], [13, 50, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18219492372741250390656341685', 'prec': 103}, 'szpiro_ratio': 5.013329893846731, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 52123
    {'Ciso': '8112y', 'Clabel': '8112y2', 'Cnumber': 2, 'abc_quality': 1.065463153454839, 'absD': 2125507018752, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 780, 'ainvs': [0, -1, 0, -3384, 29808], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 11520, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0584340777156644647454037928', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [476379541, 236196], 'lmfdb_iso': '8112.g', 'lmfdb_label': '8112.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -212, -466], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.36.0.b.2', '12.6.0.f.1', '26.6.0.b.1', '60.72.1.dy.2', '65.12.0.a.2', '130.72.1.?', '156.12.0.?', '260.144.1.?', '780.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1303785012866285264685659149', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 2704], [5, 2, 2704], [13, 50, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27595044220966502868520018905', 'prec': 107}, 'szpiro_ratio': 3.998882446033569, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 52122
    {'Ciso': '8112y', 'Clabel': '8112y1', 'Cnumber': 1, 'abc_quality': 1.160052676835907, 'absD': 34987769856, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 780, 'ainvs': [0, -1, 0, 776, 3184], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 8112, 'degree': 5760, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71186048743569181003678773211', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [5735339, 3888], 'lmfdb_iso': '8112.g', 'lmfdb_label': '8112.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 48, -50], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.b.1', '30.36.0.c.2', '52.6.0.c.1', '60.72.1.dt.2', '65.12.0.a.2', '78.6.0.?', '130.36.0.?', '156.12.0.?', '260.144.1.?', '390.72.1.?', '780.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2607570025732570529371318297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 2704], [5, 2, 2704], [13, 50, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62252403248963768339381624974', 'prec': 107}, 'szpiro_ratio': 3.5078793279019354, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}