Elliptic curve isogeny class data - 63162.y

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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, 0, 1, 2, 0, 0, -1, 0, -2, 0, 0, -2, 0, 0, 1, -2, 0, 4, 2], 'aplist': [-1, 0, 2, 0, 0, -2, -2, 4, 8, -1, 4, 2, -2, -4, 4, -6, -4, -2, -4, 16, -6, 8, -8, 14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 63162, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '63162.y', 'trace_hash': 171419086566402130}
• ec_padic •

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

  
  
  • id: 3215638
    {'lmfdb_iso': '63162.y', 'p': 5, 'prec': 20, 'unit': 8798893745629, 'val': 1}
  • id: 3215643
    {'lmfdb_iso': '63162.y', 'p': 13, 'prec': 20, 'unit': 629477907217776340720, 'val': 1}
  • id: 3215645
    {'lmfdb_iso': '63162.y', 'p': 17, 'prec': 20, 'unit': 72791558499351571124727, 'val': 1}
  • id: 3215646
    {'lmfdb_iso': '63162.y', 'p': 19, 'prec': 20, 'unit': 148581460250020523480530, 'val': 1}
  • id: 3215650
    {'lmfdb_iso': '63162.y', 'p': 23, 'prec': 20, 'unit': 59436866989746172437471298, 'val': 1}
  • id: 3215640
    {'lmfdb_iso': '63162.y', 'p': 31, 'prec': 20, 'unit': 10960580367528471576328492509, 'val': 1}
  • id: 3215654
    {'lmfdb_iso': '63162.y', 'p': 37, 'prec': 20, 'unit': 114942734299126839992488072087, 'val': 1}
  • id: 3215641
    {'lmfdb_iso': '63162.y', 'p': 41, 'prec': 20, 'unit': 3504648099879020625954143175910, 'val': 1}
  • id: 3215642
    {'lmfdb_iso': '63162.y', 'p': 43, 'prec': 20, 'unit': 9294781639853620670179815460138, 'val': 1}
  • id: 3215652
    {'lmfdb_iso': '63162.y', 'p': 47, 'prec': 20, 'unit': 13515266578024959493091870153, 'val': 2}
  • id: 3215647
    {'lmfdb_iso': '63162.y', 'p': 53, 'prec': 20, 'unit': 9519615929798780345235678057518, 'val': 2}
  • id: 3215648
    {'lmfdb_iso': '63162.y', 'p': 59, 'prec': 20, 'unit': 654605136806218816200865899948202, 'val': 1}
  • id: 3215653
    {'lmfdb_iso': '63162.y', 'p': 61, 'prec': 20, 'unit': 333086233864651206606572226284601, 'val': 1}
  • id: 3215637
    {'lmfdb_iso': '63162.y', 'p': 67, 'prec': 20, 'unit': 33806318924067176564740558792197866, 'val': 1}
  • id: 3215639
    {'lmfdb_iso': '63162.y', 'p': 71, 'prec': 20, 'unit': 19100794027726630049871650279664408, 'val': 1}
  • id: 3215649
    {'lmfdb_iso': '63162.y', 'p': 73, 'prec': 20, 'unit': 1554430054069742236975005497190470, 'val': 1}
  • id: 3215644
    {'lmfdb_iso': '63162.y', 'p': 79, 'prec': 20, 'unit': 29370036132779583271342851269423376, 'val': 1}
  • id: 3215636
    {'lmfdb_iso': '63162.y', 'p': 83, 'prec': 20, 'unit': 1831160229526704567407224551282981842, 'val': 1}
  • id: 3215651
    {'lmfdb_iso': '63162.y', 'p': 89, 'prec': 20, 'unit': 1204133844794983080646209477266196847, 'val': 1}
  • id: 3215635
    {'lmfdb_iso': '63162.y', 'p': 97, 'prec': 20, 'unit': 36500828961395283251995228375357150090, '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: 418052
    {'Ciso': '63162u', 'Clabel': '63162u4', 'Cnumber': 4, 'abc_quality': 0.9620912002646477, 'absD': 723437159213172888, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7656, 'ainvs': [1, -1, 0, -4619016, 3821894280], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 63162, 'degree': 1474560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4827576807296489235487801907', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4], 'jinv': [8438952173768857, 560166552], 'lmfdb_iso': '63162.y', 'lmfdb_label': '63162.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4242, 105964], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '88.12.0.?', '232.12.0.?', '264.24.0.?', '696.24.0.?', '2552.24.0.?', '7656.48.0.?'], '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': '2.5561158039307959865846491746', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 3509], [11, 72, 522], [29, 30, 2178]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73450389999640880582018578326', 'prec': 103}, 'szpiro_ratio': 5.215623854399642, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 418051
    {'Ciso': '63162u', 'Clabel': '63162u3', 'Cnumber': 3, 'abc_quality': 0.9456162978132894, 'absD': 28781432291089525608, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7656, 'ainvs': [1, -1, 0, -1569816, -711290376], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 63162, 'degree': 1474560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4827576807296489235487801907', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4], 'jinv': [331273336732057, 22285827432], 'lmfdb_iso': '63162.y', 'lmfdb_label': '63162.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1442, -19924], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '88.12.0.?', '232.12.0.?', '264.24.0.?', '696.24.0.?', '2552.24.0.?', '3828.12.0.?', '7656.48.0.?'], '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': '10.224463215723183946338596698', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 31581], [3, 8, 3509], [11, 72, 522], [29, 30, 2178]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73450389999640880582018578326', 'prec': 103}, 'szpiro_ratio': 4.9227137474062355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 418050
    {'Ciso': '63162u', 'Clabel': '63162u2', 'Cnumber': 2, 'abc_quality': 0.9173545206849743, 'absD': 681286837213832256, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7656, 'ainvs': [1, -1, 0, -306576, 51959232], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 63162, 'degree': 737280, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1361840904496762688401641300', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [2467489596697, 527529024], 'lmfdb_iso': '63162.y', 'lmfdb_label': '63162.y3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -282, 1420], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '88.12.0.?', '232.12.0.?', '264.24.0.?', '696.24.0.?', '1276.12.0.?', '2552.24.0.?', '3828.24.0.?', '7656.48.0.?'], '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': '5.1122316078615919731692983492', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 3509], [11, 72, 522], [29, 30, 2178]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38793030971643615111156972255', 'prec': 103}, 'szpiro_ratio': 4.479436857045161, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 418049
    {'Ciso': '63162u', 'Clabel': '63162u1', 'Cnumber': 1, 'abc_quality': 0.8869500093752056, 'absD': 15187167391739904, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7656, 'ainvs': [1, -1, 0, 41904, 4914432], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 63162, 'degree': 368640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7896105001697036141315480692', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4], 'jinv': [6300872423, 11759616], 'lmfdb_iso': '63162.y', 'lmfdb_label': '63162.y4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 38, 140], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '88.12.0.?', '232.12.0.?', '264.24.0.?', '638.6.0.?', '696.24.0.?', '1276.12.0.?', '2552.24.0.?', '3828.24.0.?', '7656.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.224463215723183946338596698', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 31581], [3, 8, 3509], [11, 72, 522], [29, 30, 2178]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.041356719436463496402953661756', 'prec': 107}, 'szpiro_ratio': 4.011665606714613, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}