Elliptic curve isogeny class data - 1872.n

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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, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, 0, 2, -4, 0, 1, -2, -8, 8, 2, -4, -10, -2, 4, -12, -6, 0, -2, -8, -12, 10, 8, 0, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 1872, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1872.n', 'trace_hash': 1484104219353125141}
• ec_padic •

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

  
  
  • id: 53313
    {'lmfdb_iso': '1872.n', 'p': 5, 'prec': 20, 'unit': 3650776478743, 'val': 1}
  • id: 53314
    {'lmfdb_iso': '1872.n', 'p': 7, 'prec': 20, 'unit': 139062270914004, 'val': 3}
  • id: 53320
    {'lmfdb_iso': '1872.n', 'p': 17, 'prec': 20, 'unit': 155812628226689558006042, 'val': 1}
  • id: 53321
    {'lmfdb_iso': '1872.n', 'p': 19, 'prec': 20, 'unit': 1047680149138975910139237, 'val': 1}
  • id: 53324
    {'lmfdb_iso': '1872.n', 'p': 23, 'prec': 20, 'unit': 3025906265280954210507844, 'val': 1}
  • id: 53318
    {'lmfdb_iso': '1872.n', 'p': 29, 'prec': 20, 'unit': 185291081273922618455570097, 'val': 2}
  • id: 53315
    {'lmfdb_iso': '1872.n', 'p': 31, 'prec': 20, 'unit': 11179674622663005950999132260, 'val': 1}
  • id: 53329
    {'lmfdb_iso': '1872.n', 'p': 37, 'prec': 20, 'unit': 354663162700279799986042457121, 'val': 1}
  • id: 53316
    {'lmfdb_iso': '1872.n', 'p': 41, 'prec': 20, 'unit': 1216516435311004919122063429671, 'val': 1}
  • id: 53317
    {'lmfdb_iso': '1872.n', 'p': 43, 'prec': 20, 'unit': 6516026400173000009124381032296, 'val': 1}
  • id: 53319
    {'lmfdb_iso': '1872.n', 'p': 47, 'prec': 20, 'unit': 52746670774015621141299740803340, 'val': 1}
  • id: 53322
    {'lmfdb_iso': '1872.n', 'p': 53, 'prec': 20, 'unit': 453607859679799502030893837824657, 'val': 1}
  • id: 53328
    {'lmfdb_iso': '1872.n', 'p': 61, 'prec': 20, 'unit': 3422914468273964847553342573839788, 'val': 1}
  • id: 53312
    {'lmfdb_iso': '1872.n', 'p': 67, 'prec': 20, 'unit': 623550553518132397408935639491409, 'val': 1}
  • id: 53326
    {'lmfdb_iso': '1872.n', 'p': 71, 'prec': 20, 'unit': 48167185773014168081433099426352458, 'val': 1}
  • id: 53323
    {'lmfdb_iso': '1872.n', 'p': 73, 'prec': 20, 'unit': 192806204826697270661681183143054283, 'val': 1}
  • id: 53327
    {'lmfdb_iso': '1872.n', 'p': 79, 'prec': 20, 'unit': 803209947805722674314660271678472742, 'val': 1}
  • id: 53325
    {'lmfdb_iso': '1872.n', 'p': 89, 'prec': 20, 'unit': 6191705785392893476609231325041039078, 'val': 1}
  • id: 53311
    {'lmfdb_iso': '1872.n', 'p': 97, 'prec': 20, 'unit': 49656818452674188414028073866164288853, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 10500
    {'Ciso': '1872h', 'Clabel': '1872h3', 'Cnumber': 3, 'abc_quality': 0.9567914796065754, 'absD': 63670883328, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, 0, 0, -2739, -53822], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 2048, 'elladic_images': ['16.24.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85213960958991333309672524638', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [3044193988, 85293], 'lmfdb_iso': '1872.n', 'lmfdb_label': '1872.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -304, -1892], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '12.12.0-4.c.1.2', '16.24.0-8.o.1.4', '24.24.0-8.o.1.8', '26.6.0.b.1', '48.48.0-48.i.1.2', '52.12.0.g.1', '104.48.0.?', '156.24.0.?', '208.96.0.?', '312.96.0.?', '624.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1412251437019084452292642281', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27478918521076260378192413996', 'prec': 107}, 'szpiro_ratio': 4.692868130024862, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10499
    {'Ciso': '1872h', 'Clabel': '1872h2', 'Cnumber': 2, 'abc_quality': 0.9119472945194543, 'absD': 2554695936, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 312, 'ainvs': [0, 0, 0, -399, 1870], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 1024, 'elladic_images': ['8.24.0.33'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50556601930994067838810918565', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [37642192, 13689], 'lmfdb_iso': '1872.n', 'lmfdb_label': '1872.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -44, 84], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0-4.a.1.3', '12.24.0-4.a.1.1', '24.48.0-24.k.1.2', '52.24.0.b.1', '104.96.0.?', '156.48.0.?', '312.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2824502874038168904585284563', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50583824539741104025433484712', 'prec': 107}, 'szpiro_ratio': 3.9258684884738626, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 10498
    {'Ciso': '1872h', 'Clabel': '1872h1', 'Cnumber': 1, 'abc_quality': 0.9640836886559194, 'absD': 1364688, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, 0, 0, -354, 2563], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 512, 'elladic_images': ['16.24.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.15899242902996802367949312492', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [420616192, 117], 'lmfdb_iso': '1872.n', 'lmfdb_label': '1872.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -39, 108], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '12.12.0-4.c.1.1', '16.24.0-8.o.1.4', '24.24.0-8.o.1.6', '26.6.0.b.1', '48.48.0-48.i.1.6', '52.12.0.g.1', '104.48.0.?', '156.24.0.?', '208.96.0.?', '312.96.0.?', '624.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1412251437019084452292642281', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62136277549073525849054020069', 'prec': 107}, 'szpiro_ratio': 3.878223522386847, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10501
    {'Ciso': '1872h', 'Clabel': '1872h4', 'Cnumber': 4, 'abc_quality': 0.9668256784127743, 'absD': 191886050304, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, 0, 0, 1221, 13210], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1872, 'degree': 2048, 'elladic_images': ['4.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85213960958991333309672524638', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [269676572, 257049], 'lmfdb_iso': '1872.n', 'lmfdb_label': '1872.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 136, 444], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.2', '12.48.0-12.e.1.1', '104.48.0.?', '208.96.0.?', '312.96.1.?', '624.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1412251437019084452292642281', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27478918521076260378192413996', 'prec': 107}, 'szpiro_ratio': 4.371190036662054, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}