Elliptic curve isogeny class data - 5070.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, -1, -1, 1, 1, 1, 0, -1, 1, -1, -4, -1, 0, 0, -1, 1, -4, -1, 4, 1], 'aplist': [-1, -1, 1, 0, -4, 0, -4, 4, -6, 4, 10, 4, -2, 12, 0, -2, -4, -10, -10, 12, -6, -8, 0, 10, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 5070, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5070.g', 'trace_hash': 1742356514708235831}
• ec_padic •

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

  
  
  • id: 186858
    {'lmfdb_iso': '5070.g', 'p': 11, 'prec': 20, 'unit': 47760226956601364409, 'val': 1}
  • id: 186859
    {'lmfdb_iso': '5070.g', 'p': 17, 'prec': 20, 'unit': 169572557022024572703817, 'val': 1}
  • id: 186860
    {'lmfdb_iso': '5070.g', 'p': 19, 'prec': 20, 'unit': 942376118156843071756362, 'val': 1}
  • id: 186863
    {'lmfdb_iso': '5070.g', 'p': 23, 'prec': 20, 'unit': 29279337981693086381347983, 'val': 1}
  • id: 186856
    {'lmfdb_iso': '5070.g', 'p': 29, 'prec': 20, 'unit': 2173587683333556733189677288, 'val': 1}
  • id: 186867
    {'lmfdb_iso': '5070.g', 'p': 31, 'prec': 20, 'unit': 674095164822734701600343050, 'val': 1}
  • id: 186852
    {'lmfdb_iso': '5070.g', 'p': 37, 'prec': 20, 'unit': 414148328105862018096657611497, 'val': 1}
  • id: 186854
    {'lmfdb_iso': '5070.g', 'p': 41, 'prec': 20, 'unit': 4260436902846422833403104346385, 'val': 1}
  • id: 186855
    {'lmfdb_iso': '5070.g', 'p': 43, 'prec': 20, 'unit': 7400705300405764764415662799607, 'val': 1}
  • id: 186861
    {'lmfdb_iso': '5070.g', 'p': 53, 'prec': 20, 'unit': 538888745466255722457915436272698, 'val': 1}
  • id: 186865
    {'lmfdb_iso': '5070.g', 'p': 59, 'prec': 20, 'unit': 1140834769879508666014549514638236, 'val': 1}
  • id: 186866
    {'lmfdb_iso': '5070.g', 'p': 61, 'prec': 20, 'unit': 3402445475337077875131868413078067, 'val': 1}
  • id: 186851
    {'lmfdb_iso': '5070.g', 'p': 67, 'prec': 20, 'unit': 37353332708173908717161074840056213, 'val': 1}
  • id: 186853
    {'lmfdb_iso': '5070.g', 'p': 71, 'prec': 20, 'unit': 67589571029659071321838348661289815, 'val': 1}
  • id: 186862
    {'lmfdb_iso': '5070.g', 'p': 73, 'prec': 20, 'unit': 55019191186349615859974144059507705, 'val': 1}
  • id: 186857
    {'lmfdb_iso': '5070.g', 'p': 79, 'prec': 20, 'unit': 503185965101638727048522522222709008, 'val': 1}
  • id: 186864
    {'lmfdb_iso': '5070.g', 'p': 89, 'prec': 20, 'unit': 587952046957186459405769332045570438, 'val': 1}
  • id: 186850
    {'lmfdb_iso': '5070.g', 'p': 97, 'prec': 20, 'unit': 55973829337704350909040940755509551565, '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: 31508
    {'Ciso': '5070g', 'Clabel': '5070g2', 'Cnumber': 2, 'abc_quality': 0.9687091371455733, 'absD': 197730, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [1, 1, 0, -692, 6726], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5070, 'degree': 1920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21067611119099670242135031347', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [16718302693, 90], 'lmfdb_iso': '5070.g', 'lmfdb_label': '5070.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -692, 6726], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '156.6.0.?', '520.6.0.?', '1560.12.0.?'], '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': '0.86254999968536933564827858908', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 65], [3, 4, 1690], [5, 6, 1014], [13, 50, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43056122817438748159202154692', 'prec': 107}, 'szpiro_ratio': 3.66126669359176, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31507
    {'Ciso': '5070g', 'Clabel': '5070g1', 'Cnumber': 1, 'abc_quality': 0.879641388243507, 'absD': 659100, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [1, 1, 0, -42, 96], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5070, 'degree': 960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.13589747908897595228726574726', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [-3869893, 300], 'lmfdb_iso': '5070.g', 'lmfdb_label': '5070.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -42, 96], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '78.6.0.?', '120.6.0.?', '520.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.43127499984268466782413929454', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 39], [3, 4, 1690], [5, 6, 1014], [13, 50, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77713481845436013630063760765', 'prec': 107}, 'szpiro_ratio': 2.6947649731377394, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}