Elliptic curve isogeny class data - 98736.ca

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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, -1, 0, 2, 0, 4, 0, 1, 0, 0, 0, 2, 0, -2, 0, -1, 0, -4, 0], 'aplist': [0, -1, 2, 4, 0, 2, -1, -4, 4, -2, 4, -6, 6, -4, 0, 6, -4, 6, 4, -4, -10, 4, 12, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 98736, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '98736.ca', 'trace_hash': 1700665103832486708}
• ec_padic •

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

  
  
  • id: 5136693
    {'lmfdb_iso': '98736.ca', 'p': 5, 'prec': 20, 'unit': 4303433136472, 'val': 1}
  • id: 5136694
    {'lmfdb_iso': '98736.ca', 'p': 7, 'prec': 20, 'unit': 973418707136854, 'val': 1}
  • id: 5136699
    {'lmfdb_iso': '98736.ca', 'p': 13, 'prec': 20, 'unit': 753121152851608893689, 'val': 1}
  • id: 5136690
    {'lmfdb_iso': '98736.ca', 'p': 19, 'prec': 20, 'unit': 912283746466202882031953, 'val': 1}
  • id: 5136704
    {'lmfdb_iso': '98736.ca', 'p': 23, 'prec': 20, 'unit': 71970319153186965394030999, 'val': 1}
  • id: 5136698
    {'lmfdb_iso': '98736.ca', 'p': 29, 'prec': 20, 'unit': 236606345871896957501402506, 'val': 1}
  • id: 5136695
    {'lmfdb_iso': '98736.ca', 'p': 31, 'prec': 20, 'unit': 10135012456032264246244722057, 'val': 1}
  • id: 5136709
    {'lmfdb_iso': '98736.ca', 'p': 37, 'prec': 20, 'unit': 516187443222596127723300857499, 'val': 1}
  • id: 5136696
    {'lmfdb_iso': '98736.ca', 'p': 41, 'prec': 20, 'unit': 2904615699311864229020498396198, 'val': 1}
  • id: 5136697
    {'lmfdb_iso': '98736.ca', 'p': 43, 'prec': 20, 'unit': 3820203357771460041307686412523, 'val': 1}
  • id: 5136702
    {'lmfdb_iso': '98736.ca', 'p': 53, 'prec': 20, 'unit': 270843261262536204099051676578057, 'val': 1}
  • id: 5136707
    {'lmfdb_iso': '98736.ca', 'p': 59, 'prec': 20, 'unit': 2759429114228104977576134530188190, 'val': 1}
  • id: 5136708
    {'lmfdb_iso': '98736.ca', 'p': 61, 'prec': 20, 'unit': 6777504721093234216840816504555718, 'val': 1}
  • id: 5136692
    {'lmfdb_iso': '98736.ca', 'p': 67, 'prec': 20, 'unit': 23697093263495728634848172122261329, 'val': 1}
  • id: 5136706
    {'lmfdb_iso': '98736.ca', 'p': 71, 'prec': 20, 'unit': 147509309478419613086276909938687161, 'val': 1}
  • id: 5136703
    {'lmfdb_iso': '98736.ca', 'p': 73, 'prec': 20, 'unit': 195429710732643787494434065329214860, 'val': 1}
  • id: 5136700
    {'lmfdb_iso': '98736.ca', 'p': 79, 'prec': 20, 'unit': 626396078973635887328657305511543012, 'val': 1}
  • id: 5136701
    {'lmfdb_iso': '98736.ca', 'p': 83, 'prec': 20, 'unit': 4202030166322742022694920569200436, 'val': 2}
  • id: 5136705
    {'lmfdb_iso': '98736.ca', 'p': 89, 'prec': 20, 'unit': 8207976696138228886412734132570807243, 'val': 1}
  • id: 5136691
    {'lmfdb_iso': '98736.ca', 'p': 97, 'prec': 20, 'unit': 21796962878609678862837813632062000438, '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: 649584
    {'Ciso': '98736by', 'Clabel': '98736by4', 'Cnumber': 4, 'abc_quality': 1.0382088586045655, 'absD': 12535173747885735936, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1496, 'ainvs': [0, -1, 0, -2718622232, -54558722956560], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 30965760, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7343625311649807176701606273', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 4], 'jinv': [306234591284035366263793, 1727485056], 'lmfdb_iso': '98736.ca', 'lmfdb_label': '98736.ca1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1404247, -640608535], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '88.24.0.?', '136.24.0.?', '748.12.0.?', '1496.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '101.11082500242425366559363840', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2057], [3, 4, 32912], [11, 72, 816], [17, 18, 5808]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8422677142058501362219567169', 'prec': 100}, 'szpiro_ratio': 6.676731142334556, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 649582
    {'Ciso': '98736by', 'Clabel': '98736by2', 'Cnumber': 2, 'abc_quality': 1.013375978983816, 'absD': 40746433421275589246976, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1496, 'ainvs': [0, -1, 0, -169916952, -852405296400], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 15482880, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3877889408850080629615445665', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2], 'jinv': [74768347616680342513, 5615307472896], 'lmfdb_iso': '98736.ca', 'lmfdb_label': '98736.ca2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -87767, -10014615], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '44.12.0-2.a.1.1', '68.12.0.b.1', '88.24.0.?', '136.24.0.?', '748.24.0.?', '1496.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '50.555412501212126832796819201', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 32912], [11, 72, 816], [17, 18, 5808]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4956941239258774815133406561', 'prec': 100}, 'szpiro_ratio': 5.953464716900955, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 649583
    {'Ciso': '98736by', 'Clabel': '98736by3', 'Cnumber': 3, 'abc_quality': 1.0176943714578126, 'absD': 149659987558453919900762112, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1496, 'ainvs': [0, -1, 0, -158765592, -969128811792], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 30965760, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7343625311649807176701606273', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 4], 'jinv': [-60992553706117024753, 20624795251201152], 'lmfdb_iso': '98736.ca', 'lmfdb_label': '98736.ca3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -82007, -11384343], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '44.12.0-4.c.1.2', '88.24.0.?', '136.24.0.?', '1496.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '25.277706250606063416398409600', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 32912], [11, 72, 816], [17, 18, 5808]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8422677142058501362219567169', 'prec': 100}, 'szpiro_ratio': 5.975770178844955, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 649581
    {'Ciso': '98736by', 'Clabel': '98736by1', 'Cnumber': 1, 'abc_quality': 0.9867709317256699, 'absD': 36060582573012437434368, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1496, 'ainvs': [0, -1, 0, -11319832, -11459927312], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 7741440, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0412153506050354082529285058', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 4], 'jinv': [22106889268753393, 4969545596928], 'lmfdb_iso': '98736.ca', 'lmfdb_label': '98736.ca4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5847, -135063], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '34.6.0.a.1', '44.12.0-4.c.1.1', '68.12.0.g.1', '88.24.0.?', '136.24.0.?', '748.24.0.?', '1496.48.0.?'], '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': '25.277706250606063416398409600', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2057], [3, 4, 32912], [11, 72, 816], [17, 18, 5808]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1491205336459048268047245954', 'prec': 100}, 'szpiro_ratio': 5.246845948548349, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}