Elliptic curve isogeny class data - 68970.j

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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, -4, -1, 1, -1, 0, -1, 6, 4, -1, 1, -2, -1, -1, 1], 'aplist': [-1, -1, 1, -4, 0, 6, -2, -1, 8, -2, -8, 10, -6, 8, 0, -2, -12, 2, -12, -8, -2, 16, 4, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 68970, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '68970.j', 'trace_hash': 753011579652601669}
• ec_padic •

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

  
  
  • id: 3529649
    {'lmfdb_iso': '68970.j', 'p': 7, 'prec': 20, 'unit': 5953997147355032, 'val': 1}
  • id: 3529653
    {'lmfdb_iso': '68970.j', 'p': 13, 'prec': 20, 'unit': 214644398800331566028, 'val': 1}
  • id: 3529655
    {'lmfdb_iso': '68970.j', 'p': 17, 'prec': 20, 'unit': 47878131183207927217717, 'val': 1}
  • id: 3529659
    {'lmfdb_iso': '68970.j', 'p': 23, 'prec': 20, 'unit': 22095702618511942854260979, 'val': 1}
  • id: 3529652
    {'lmfdb_iso': '68970.j', 'p': 29, 'prec': 20, 'unit': 3194205424431371235594053547, 'val': 1}
  • id: 3529664
    {'lmfdb_iso': '68970.j', 'p': 31, 'prec': 20, 'unit': 2409921624461501640434472206, 'val': 1}
  • id: 3529648
    {'lmfdb_iso': '68970.j', 'p': 37, 'prec': 20, 'unit': 8997441415770542035931647602, 'val': 1}
  • id: 3529650
    {'lmfdb_iso': '68970.j', 'p': 41, 'prec': 20, 'unit': 3651186144670531918907332667560, 'val': 1}
  • id: 3529651
    {'lmfdb_iso': '68970.j', 'p': 43, 'prec': 20, 'unit': 5338062011485028276121998398072, 'val': 1}
  • id: 3529657
    {'lmfdb_iso': '68970.j', 'p': 53, 'prec': 20, 'unit': 2191956223976688633907808394345, 'val': 1}
  • id: 3529662
    {'lmfdb_iso': '68970.j', 'p': 59, 'prec': 20, 'unit': 1660159499423544692150869346495914, 'val': 1}
  • id: 3529663
    {'lmfdb_iso': '68970.j', 'p': 61, 'prec': 20, 'unit': 2658146077485530569382574781915628, 'val': 1}
  • id: 3529647
    {'lmfdb_iso': '68970.j', 'p': 67, 'prec': 20, 'unit': 49578660560440741367032033577469990, 'val': 1}
  • id: 3529661
    {'lmfdb_iso': '68970.j', 'p': 71, 'prec': 20, 'unit': 92966895702005542845921584139875352, 'val': 1}
  • id: 3529658
    {'lmfdb_iso': '68970.j', 'p': 73, 'prec': 20, 'unit': 112045620602445033995221185620106853, 'val': 1}
  • id: 3529654
    {'lmfdb_iso': '68970.j', 'p': 79, 'prec': 20, 'unit': 880531435634496108565771840811123083, 'val': 1}
  • id: 3529656
    {'lmfdb_iso': '68970.j', 'p': 83, 'prec': 20, 'unit': 1644086949606259818565756423499705082, 'val': 1}
  • id: 3529660
    {'lmfdb_iso': '68970.j', 'p': 89, 'prec': 20, 'unit': 2540632617683777889089501657367813808, 'val': 1}
  • id: 3529646
    {'lmfdb_iso': '68970.j', 'p': 97, 'prec': 20, 'unit': 6899622118411432210829715773600170690, '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: 456006
    {'Ciso': '68970o', 'Clabel': '68970o4', 'Cnumber': 4, 'abc_quality': 1.0439330953430468, 'absD': 163585942740, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 25080, 'ainvs': [1, 1, 0, -59590082, -177080195376], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 68970, 'degree': 5529600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6864360243195967954351040677', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [13209596798923694545921, 92340], 'lmfdb_iso': '68970.j', 'lmfdb_label': '68970.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -492480, 132819117], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '88.12.0.?', '120.12.0.?', '152.12.0.?', '570.6.0.?', '660.12.0.?', '836.12.0.?', '1140.12.0.?', '1320.24.0.?', '1672.24.0.?', '2280.24.0.?', '12540.24.0.?', '25080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.827439554179013388998182282', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 34485], [3, 4, 22990], [5, 6, 4598], [11, 62, 570], [19, 20, 3630]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4874883879204115234041322787', 'prec': 100}, 'szpiro_ratio': 5.863037359034197, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 456005
    {'Ciso': '68970o', 'Clabel': '68970o3', 'Cnumber': 3, 'abc_quality': 1.081271340032757, 'absD': 293409934860448147500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 25080, 'ainvs': [1, 1, 0, -3770362, -2696245064], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 68970, 'degree': 5529600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6864360243195967954351040677', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [3345930611358906241, 165622259047500], 'lmfdb_iso': '68970.j', 'lmfdb_label': '68970.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -31160, 2011565], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '44.12.0-4.c.1.1', '76.12.0.?', '120.12.0.?', '836.24.0.?', '1320.24.0.?', '2280.24.0.?', '25080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2068598885447533472495455704', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2299], [3, 4, 22990], [5, 6, 4598], [11, 62, 570], [19, 20, 3630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4874883879204115234041322787', 'prec': 100}, 'szpiro_ratio': 5.119779419128766, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 456004
    {'Ciso': '68970o', 'Clabel': '68970o2', 'Cnumber': 2, 'abc_quality': 1.0180906246126984, 'absD': 15105525952611600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 12540, 'ainvs': [1, 1, 0, -3724382, -2768038236], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 68970, 'degree': 2764800, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3398624340396241407264880070', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [3225005357698077121, 8526675600], 'lmfdb_iso': '68970.j', 'lmfdb_label': '68970.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -30780, 2065677], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '44.12.0-2.a.1.1', '60.12.0.b.1', '76.12.0.?', '660.24.0.?', '836.24.0.?', '1140.24.0.?', '12540.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4137197770895066944990911408', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 22990], [5, 6, 4598], [11, 62, 570], [19, 20, 3630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1409147976404388686955162180', 'prec': 100}, 'szpiro_ratio': 5.116475510812358, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 456003
    {'Ciso': '68970o', 'Clabel': '68970o1', 'Cnumber': 1, 'abc_quality': 0.9830842927041407, 'absD': 71810302800234240, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 25080, 'ainvs': [1, 1, 0, -229902, -44440524], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 68970, 'degree': 1382400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9932888437596514860178719463', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [-758575480593601, 40535043840], 'lmfdb_iso': '68970.j', 'lmfdb_label': '68970.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1900, 32525], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '30.6.0.a.1', '44.12.0-4.c.1.2', '60.12.0.g.1', '152.12.0.?', '660.24.0.?', '1672.24.0.?', '2280.24.0.?', '25080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.827439554179013388998182282', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1815], [3, 4, 22990], [5, 6, 4598], [11, 62, 570], [19, 20, 3630]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79434120736046621398690015732', 'prec': 103}, 'szpiro_ratio': 4.374498425774254, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}