Elliptic curve isogeny class data - 5070.s

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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, -1, 1, 1, -1, 0, 1, 1, 1, 0, -1, 0, 0, -1, 1, -6, 1, 0, 1], 'aplist': [1, -1, 1, 0, 0, 0, -6, 0, -4, -10, 0, 6, -2, -4, 0, -6, 0, 6, -4, -16, 2, 0, -4, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 5070, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '5070.s', 'trace_hash': 1402226517805431583}
• ec_padic •

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

  
  
  • id: 186905
    {'lmfdb_iso': '5070.s', 'p': 17, 'prec': 20, 'unit': 33554975931485964123685, 'val': 1}
  • id: 186909
    {'lmfdb_iso': '5070.s', 'p': 23, 'prec': 20, 'unit': 12938959853131297187803636, 'val': 1}
  • id: 186904
    {'lmfdb_iso': '5070.s', 'p': 29, 'prec': 20, 'unit': 3573261288413894570323835312, 'val': 1}
  • id: 186900
    {'lmfdb_iso': '5070.s', 'p': 37, 'prec': 20, 'unit': 586712063922029790753861350043, 'val': 1}
  • id: 186902
    {'lmfdb_iso': '5070.s', 'p': 41, 'prec': 20, 'unit': 1965990428744243999491622310064, 'val': 1}
  • id: 186903
    {'lmfdb_iso': '5070.s', 'p': 43, 'prec': 20, 'unit': 4949621247461189857852327812740, 'val': 1}
  • id: 186907
    {'lmfdb_iso': '5070.s', 'p': 53, 'prec': 20, 'unit': 78927370938058136277861934475468, 'val': 1}
  • id: 186911
    {'lmfdb_iso': '5070.s', 'p': 61, 'prec': 20, 'unit': 7881326504999601007591464558277748, 'val': 1}
  • id: 186899
    {'lmfdb_iso': '5070.s', 'p': 67, 'prec': 20, 'unit': 3703673240792901769791035112677167, 'val': 1}
  • id: 186901
    {'lmfdb_iso': '5070.s', 'p': 71, 'prec': 20, 'unit': 141651365202076183047232626026137331, 'val': 1}
  • id: 186908
    {'lmfdb_iso': '5070.s', 'p': 73, 'prec': 20, 'unit': 109007112986263774754763539968966842, 'val': 1}
  • id: 186906
    {'lmfdb_iso': '5070.s', 'p': 83, 'prec': 20, 'unit': 1182537206503872941754715334443793133, 'val': 1}
  • id: 186910
    {'lmfdb_iso': '5070.s', 'p': 89, 'prec': 20, 'unit': 8123221737961199528617942525305802902, 'val': 1}
  • id: 186898
    {'lmfdb_iso': '5070.s', 'p': 97, 'prec': 20, 'unit': 45580793668225965503966006681887014126, '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: 31528
    {'Ciso': '5070q', 'Clabel': '5070q3', 'Cnumber': 3, 'abc_quality': 0.9697774643830833, 'absD': 12407264266410, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, 1, 1, -81715, -9023305], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5070, 'degree': 21504, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5095072215795234220066089557', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [12501706118329, 2570490], 'lmfdb_iso': '5070.s', 'lmfdb_label': '5070.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483, -4293], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '40.24.0-40.v.1.7', '104.24.0.?', '260.12.0.?', '520.48.0.?'], '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': '9.0196604601338862610729714528', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 4, 1690], [5, 6, 1014], [13, 98, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22703254284875505397986523492', 'prec': 103}, 'szpiro_ratio': 5.33888985301544, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31527
    {'Ciso': '5070q', 'Clabel': '5070q2', 'Cnumber': 2, 'abc_quality': 0.9227266645673144, 'absD': 6607418840100, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, 1, 1, -5665, -110245], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5070, 'degree': 10752, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1629336312995507672979928949', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [4165509529, 1368900], 'lmfdb_iso': '5070.s', 'lmfdb_label': '5070.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -33, -63], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '40.24.0-40.a.1.6', '104.24.0.?', '260.24.0.?', '520.48.0.?'], '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': '4.5098302300669431305364857264', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 4, 1690], [5, 6, 1014], [13, 98, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11954104743121760072875082588', 'prec': 107}, 'szpiro_ratio': 4.400349047852427, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 31526
    {'Ciso': '5070q', 'Clabel': '5070q1', 'Cnumber': 1, 'abc_quality': 0.8780552029900824, 'absD': 45178932240, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, 1, 1, -2285, 39827], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5070, 'degree': 5376, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81636004101957811258937683421', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [273359449, 9360], 'lmfdb_iso': '5070.s', 'lmfdb_label': '5070.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -13, 13], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '40.24.0-40.bb.1.15', '104.24.0.?', '130.6.0.?', '260.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2549151150334715652682428632', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 4, 1690], [5, 6, 1014], [13, 98, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46611463771119025543736688657', 'prec': 107}, 'szpiro_ratio': 4.081069290594137, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 31529
    {'Ciso': '5070q', 'Clabel': '5070q4', 'Cnumber': 4, 'abc_quality': 1.035787691267508, 'absD': 514616275046250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, 1, 1, 16305, -734193], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5070, 'degree': 21504, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5095072215795234220066089557', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [99317171591, 106616250], 'lmfdb_iso': '5070.s', 'lmfdb_label': '5070.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 97, -297], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.bb.1.7', '104.24.0.?', '520.48.0.?'], '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': '2.2549151150334715652682428632', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 4, 1690], [5, 6, 1014], [13, 98, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22703254284875505397986523492', 'prec': 103}, 'szpiro_ratio': 4.772104311485498, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}