Elliptic curve isogeny class data - 91728.cr

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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, -1, 0, 0, 0, 0, 0, 5, 0, 1, 0, 0, 0, -3, 0, -1, 0], 'aplist': [0, 0, -1, 0, 5, 1, -3, -1, 3, -9, 4, -11, 0, 5, 8, 2, -4, 15, 2, -12, -11, -10, 14, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 91728, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '91728.cr', 'trace_hash': 1244023820432521846}
• ec_padic •

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

  
  
  • id: 4757962
    {'lmfdb_iso': '91728.cr', 'p': 5, 'prec': 20, 'unit': 8581767483801, 'val': 1}
  • id: 4757969
    {'lmfdb_iso': '91728.cr', 'p': 11, 'prec': 20, 'unit': 19923863734060247531, 'val': 1}
  • id: 4757970
    {'lmfdb_iso': '91728.cr', 'p': 17, 'prec': 20, 'unit': 211227683553541169679216, 'val': 1}
  • id: 4757971
    {'lmfdb_iso': '91728.cr', 'p': 19, 'prec': 20, 'unit': 821332278781343414507304, 'val': 1}
  • id: 4757974
    {'lmfdb_iso': '91728.cr', 'p': 23, 'prec': 20, 'unit': 1813733608929738012203847, 'val': 2}
  • id: 4757967
    {'lmfdb_iso': '91728.cr', 'p': 29, 'prec': 20, 'unit': 1404446195665070840656909782, 'val': 1}
  • id: 4757964
    {'lmfdb_iso': '91728.cr', 'p': 31, 'prec': 20, 'unit': 17707088640308528610651518746, 'val': 1}
  • id: 4757978
    {'lmfdb_iso': '91728.cr', 'p': 37, 'prec': 20, 'unit': 464647504547304244801052163656, 'val': 1}
  • id: 4757966
    {'lmfdb_iso': '91728.cr', 'p': 43, 'prec': 20, 'unit': 10850236184052053329943368425237, 'val': 1}
  • id: 4757976
    {'lmfdb_iso': '91728.cr', 'p': 47, 'prec': 20, 'unit': 45067102359211655303711979974219, 'val': 1}
  • id: 4757972
    {'lmfdb_iso': '91728.cr', 'p': 53, 'prec': 20, 'unit': 485752454417083323376505482050690, 'val': 1}
  • id: 4757973
    {'lmfdb_iso': '91728.cr', 'p': 59, 'prec': 20, 'unit': 2809683293383053293093146501049280, 'val': 1}
  • id: 4757977
    {'lmfdb_iso': '91728.cr', 'p': 61, 'prec': 20, 'unit': 5273728051964043505580064265104221, 'val': 1}
  • id: 4757961
    {'lmfdb_iso': '91728.cr', 'p': 67, 'prec': 20, 'unit': 27714779581357874654634737896100036, 'val': 1}
  • id: 4757963
    {'lmfdb_iso': '91728.cr', 'p': 71, 'prec': 20, 'unit': 119558888236510243289016387601729612, 'val': 1}
  • id: 4757965
    {'lmfdb_iso': '91728.cr', 'p': 73, 'prec': 20, 'unit': 144283226218818606734658628927618411, 'val': 1}
  • id: 4757968
    {'lmfdb_iso': '91728.cr', 'p': 79, 'prec': 20, 'unit': 322797918757472665088303353066681764, 'val': 1}
  • id: 4757960
    {'lmfdb_iso': '91728.cr', 'p': 83, 'prec': 20, 'unit': 979355165895045385953788070456239135, 'val': 1}
  • id: 4757975
    {'lmfdb_iso': '91728.cr', 'p': 89, 'prec': 20, 'unit': 10413884670558625181200081599504018277, 'val': 1}
  • id: 4757959
    {'lmfdb_iso': '91728.cr', 'p': 97, 'prec': 20, 'unit': 10115802246517208410089814929914302563, '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: 604288
    {'Ciso': '91728fl', 'Clabel': '91728fl2', 'Cnumber': 2, 'abc_quality': 1.0593503894068885, 'absD': 925824081374770765824, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -25927243923, 1606877034617554], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 91728, 'degree': 75866112, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2619560734483732327925249753', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 69, 'isogeny_degrees': [1, 7], 'jinv': [-5486773802537974663600129, 2635437714], 'lmfdb_iso': '91728.cr', 'lmfdb_label': '91728.cr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3674496, -2711401518], 'min_quad_twist_disc': -84, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '84.48.0.?', '728.48.0.?', '2184.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.21675472199308622620906294062', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 5733], [3, 8, 10192], [7, 32, 144], [13, 14, 7056]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0465476740267164251249938637', 'prec': 100}, 'szpiro_ratio': 7.311834499066229, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 604287
    {'Ciso': '91728fl', 'Clabel': '91728fl1', 'Cnumber': 1, 'abc_quality': 1.0387829692161805, 'absD': 1052844181741137031593984, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2184, 'ainvs': [0, 0, 0, 5037837, 49175168434], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 91728, 'degree': 10838016, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2890009989207165802398486036', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 69, 'isogeny_degrees': [1, 7], 'jinv': [40251338884511, 2997011332224], 'lmfdb_iso': '91728.cr', 'lmfdb_label': '91728.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 714, -82908], 'min_quad_twist_disc': -84, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '84.48.0.?', '728.48.0.?', '2184.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5172830539516035834634405844', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5733], [3, 8, 10192], [7, 26, 1872], [13, 14, 7056]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0735925994990597725723174920', 'prec': 100}, 'szpiro_ratio': 5.492495441268786, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}