Elliptic curve isogeny class data - 2736.c

Formats: - HTML - YAML - JSON - 2025-10-14T08:23:15.947098

• 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, -3, 0, 1, 0, 0, 0, 3, 0, -4, 0, 0, 0, 3, 0, -1, 0], 'aplist': [0, 0, -3, 1, 3, -4, 3, -1, 0, -6, 4, 2, 6, 1, -3, -12, -6, -1, 4, 6, -7, -8, 12, -12, 8], 'class_deg': 9, 'class_size': 3, 'conductor': 2736, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '2736.c', 'trace_hash': 2266656206863403693}
• ec_padic •

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

  
  
  • id: 87125
    {'lmfdb_iso': '2736.c', 'p': 5, 'prec': 20, 'unit': 9108969214493, 'val': 1}
  • id: 87126
    {'lmfdb_iso': '2736.c', 'p': 7, 'prec': 20, 'unit': 7547122467207097, 'val': -1}
  • id: 87124
    {'lmfdb_iso': '2736.c', 'p': 11, 'prec': 20, 'unit': 19767705695951692022, 'val': 1}
  • id: 87131
    {'lmfdb_iso': '2736.c', 'p': 13, 'prec': 20, 'unit': 1226080320404793284934, 'val': 1}
  • id: 87133
    {'lmfdb_iso': '2736.c', 'p': 17, 'prec': 20, 'unit': 65433717110268254698332, 'val': 1}
  • id: 87130
    {'lmfdb_iso': '2736.c', 'p': 29, 'prec': 20, 'unit': 3077294395343761528570065218, 'val': 1}
  • id: 87127
    {'lmfdb_iso': '2736.c', 'p': 31, 'prec': 20, 'unit': 5273363406076533461876599741, 'val': 1}
  • id: 87142
    {'lmfdb_iso': '2736.c', 'p': 37, 'prec': 20, 'unit': 276734740420154755621208300173, 'val': 1}
  • id: 87128
    {'lmfdb_iso': '2736.c', 'p': 41, 'prec': 20, 'unit': 488451389254020402100702818877, 'val': 1}
  • id: 87129
    {'lmfdb_iso': '2736.c', 'p': 43, 'prec': 20, 'unit': 185808338652647234982114848775033, 'val': -1}
  • id: 87140
    {'lmfdb_iso': '2736.c', 'p': 47, 'prec': 20, 'unit': 54321075345882245242664187801629, 'val': 1}
  • id: 87135
    {'lmfdb_iso': '2736.c', 'p': 53, 'prec': 20, 'unit': 435230165370292532681523739210422, 'val': 1}
  • id: 87136
    {'lmfdb_iso': '2736.c', 'p': 59, 'prec': 20, 'unit': 829550644650989978800443690440813, 'val': 1}
  • id: 87141
    {'lmfdb_iso': '2736.c', 'p': 61, 'prec': 20, 'unit': 3417478378377562628730019233521418, 'val': 1}
  • id: 87134
    {'lmfdb_iso': '2736.c', 'p': 67, 'prec': 20, 'unit': 12032094800818910758564048892342043, 'val': 1}
  • id: 87139
    {'lmfdb_iso': '2736.c', 'p': 71, 'prec': 20, 'unit': 146456406650742806382778650077709574, 'val': 1}
  • id: 87137
    {'lmfdb_iso': '2736.c', 'p': 73, 'prec': 20, 'unit': 193406712266989565871328629798866960, 'val': 1}
  • id: 87132
    {'lmfdb_iso': '2736.c', 'p': 79, 'prec': 20, 'unit': 590397499424207862273443110158493698, 'val': 1}
  • id: 87123
    {'lmfdb_iso': '2736.c', 'p': 83, 'prec': 20, 'unit': 569612275621077255065055947694929921, 'val': 1}
  • id: 87138
    {'lmfdb_iso': '2736.c', 'p': 89, 'prec': 20, 'unit': 6061250179531740404541059343390598824, 'val': 1}
  • id: 87122
    {'lmfdb_iso': '2736.c', 'p': 97, 'prec': 20, 'unit': 30962912702727185057112495363608273350, '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: 16225
    {'Ciso': '2736q', 'Clabel': '2736q3', 'Cnumber': 3, 'abc_quality': 1.104947099482495, 'absD': 56733696, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 2052, 'ainvs': [0, 0, 0, -110784, -14192656], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 2736, 'degree': 5184, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2758924818853179586349496235', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3, 9], 'jinv': [-50357871050752, 19], 'lmfdb_iso': '2736.c', 'lmfdb_label': '2736.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -769, -8470], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '12.8.0-3.a.1.1', '27.36.0.a.1', '36.24.0-9.a.1.2', '38.2.0.a.1', '108.72.0.?', '114.8.0.?', '171.36.0.?', '228.16.0.?', '342.72.3.?', '513.324.16.?', '684.144.3.?', '1026.648.43.?', '2052.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.027102204856282752209306552', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 171], [3, 2, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033439156991317803520094883580', 'prec': 107}, 'szpiro_ratio': 5.870373386222865, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 16224
    {'Ciso': '2736q', 'Clabel': '2736q2', 'Cnumber': 2, 'abc_quality': 1.0331037033479094, 'absD': 20480864256, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 2052, 'ainvs': [0, 0, 0, -1344, -20176], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 2736, 'degree': 1728, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72658633755126311293732700504', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3], 'jinv': [-89915392, 6859], 'lmfdb_iso': '2736.c', 'lmfdb_label': '2736.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -9, -15], 'min_quad_twist_disc': 12, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '12.24.0-3.a.1.1', '36.72.0-9.b.1.1', '38.2.0.a.1', '114.24.1.?', '171.108.4.?', '228.48.1.?', '342.216.13.?', '513.324.16.?', '684.432.13.?', '1026.648.43.?', '2052.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6757007349520942507364355173', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 171], [3, 2, 16], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51586698734273704217752773488', 'prec': 107}, 'szpiro_ratio': 4.2136189850289165, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 16223
    {'Ciso': '2736q', 'Clabel': '2736q1', 'Cnumber': 1, 'abc_quality': 1.3175706029138485, 'absD': 56733696, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 2052, 'ainvs': [0, 0, 0, 96, -16], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 2736, 'degree': 576, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17728019321720826723970438658', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3, 9], 'jinv': [32768, 19], 'lmfdb_iso': '2736.c', 'lmfdb_label': '2736.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 1, 0], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '12.8.0-3.a.1.2', '27.36.0.a.1', '36.24.0-9.a.1.1', '38.2.0.a.1', '108.72.0.?', '114.8.0.?', '171.36.0.?', '228.16.0.?', '342.72.3.?', '513.324.16.?', '684.144.3.?', '1026.648.43.?', '2052.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2252335783173647502454785058', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 171], [3, 2, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'szpiro_ratio': 3.1976043618296632, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}