Elliptic curve isogeny class data - 3360.p

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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, -1, 0, 1, 0, 1, 0, -4, 0, -6, 0, -1, 0, 6, 0, 0, 0], 'aplist': [0, 1, -1, 1, -4, -6, 6, 0, 4, -6, 0, 2, 2, -4, -4, -6, -12, -10, -4, -8, -14, -8, 12, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 3360, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3360.p', 'trace_hash': 685386152747621251}
• ec_padic •

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

  
  
  • id: 111666
    {'lmfdb_iso': '3360.p', 'p': 11, 'prec': 20, 'unit': 37060968758814195326, 'val': 1}
  • id: 111672
    {'lmfdb_iso': '3360.p', 'p': 13, 'prec': 20, 'unit': 620434065272344358571, 'val': 1}
  • id: 111674
    {'lmfdb_iso': '3360.p', 'p': 17, 'prec': 20, 'unit': 92417823439799996309832, 'val': 1}
  • id: 111679
    {'lmfdb_iso': '3360.p', 'p': 23, 'prec': 20, 'unit': 23070356214673323838270891, 'val': 1}
  • id: 111671
    {'lmfdb_iso': '3360.p', 'p': 29, 'prec': 20, 'unit': 1319389720000482748321185456, 'val': 1}
  • id: 111667
    {'lmfdb_iso': '3360.p', 'p': 37, 'prec': 20, 'unit': 484586828396723356657476805555, 'val': 1}
  • id: 111669
    {'lmfdb_iso': '3360.p', 'p': 41, 'prec': 20, 'unit': 3648665938707748791699805402206, 'val': 1}
  • id: 111670
    {'lmfdb_iso': '3360.p', 'p': 43, 'prec': 20, 'unit': 2085231523065302496911094283988, 'val': 1}
  • id: 111681
    {'lmfdb_iso': '3360.p', 'p': 47, 'prec': 20, 'unit': 21312628398845737848147456568364, 'val': 1}
  • id: 111676
    {'lmfdb_iso': '3360.p', 'p': 53, 'prec': 20, 'unit': 254281755932689505405072227734785, 'val': 1}
  • id: 111677
    {'lmfdb_iso': '3360.p', 'p': 59, 'prec': 20, 'unit': 475310208606403911225378682158370, 'val': 1}
  • id: 111682
    {'lmfdb_iso': '3360.p', 'p': 61, 'prec': 20, 'unit': 3744365164917968690457173205707229, 'val': 1}
  • id: 111675
    {'lmfdb_iso': '3360.p', 'p': 67, 'prec': 20, 'unit': 33831189390482367438264913005244413, 'val': 1}
  • id: 111668
    {'lmfdb_iso': '3360.p', 'p': 71, 'prec': 20, 'unit': 127239782348141074223417641046887921, 'val': 1}
  • id: 111678
    {'lmfdb_iso': '3360.p', 'p': 73, 'prec': 20, 'unit': 140526353592863382090633524831421994, 'val': 1}
  • id: 111673
    {'lmfdb_iso': '3360.p', 'p': 79, 'prec': 20, 'unit': 349539706368571649426389808525238012, 'val': 1}
  • id: 111665
    {'lmfdb_iso': '3360.p', 'p': 83, 'prec': 20, 'unit': 1064309234217737918857181017827336800, 'val': 1}
  • id: 111680
    {'lmfdb_iso': '3360.p', 'p': 89, 'prec': 20, 'unit': 4162995191499893041119651850445821439, 'val': 1}
  • id: 111664
    {'lmfdb_iso': '3360.p', 'p': 97, 'prec': 20, 'unit': 42383510998591456460752911942931822873, '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: 20188
    {'Ciso': '3360k', 'Clabel': '3360k3', 'Cnumber': 3, 'abc_quality': 1.0638597912103416, 'absD': 243855360, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -317521, 68760575], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3360, 'degree': 15360, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5102570373606597235040814407', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [864335783029582144, 59535], 'lmfdb_iso': '3360.p', 'lmfdb_label': '3360.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -317521, -68760575], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '12.12.0-4.c.1.1', '20.12.0-4.c.1.2', '24.24.0-24.bb.1.10', '40.24.0-40.bb.1.9', '60.24.0-60.h.1.4', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.78829984123559209760105294063', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 1120], [5, 6, 224], [7, 8, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81710985680071441408684931924', 'prec': 103}, 'szpiro_ratio': 6.1108817801686, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 20187
    {'Ciso': '3360k', 'Clabel': '3360k2', 'Cnumber': 2, 'abc_quality': 1.021062584779472, 'absD': 437382235261440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -22296, 786060], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3360, 'degree': 15360, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5102570373606597235040814407', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [2394165105226952, 854262178245], 'lmfdb_iso': '3360.p', 'lmfdb_label': '3360.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -22296, -786060], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '20.12.0-4.c.1.1', '24.24.0-24.bb.1.8', '40.24.0-40.v.1.4', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.78829984123559209760105294063', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 1120], [5, 6, 224], [7, 8, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99039665194070074144115734961', 'prec': 103}, 'szpiro_ratio': 5.129518924528594, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 20186
    {'Ciso': '3360k', 'Clabel': '3360k1', 'Cnumber': 1, 'abc_quality': 1.0488640833975327, 'absD': 226842638400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -19846, 1069280], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3360, 'degree': 7680, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1636834470806870687954653800', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [13507798771700416, 3544416225], 'lmfdb_iso': '3360.p', 'lmfdb_label': '3360.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -19846, -1069280], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.1', '20.12.0-2.a.1.1', '24.24.0-24.a.1.2', '40.24.0-40.a.1.3', '60.24.0-60.a.1.3', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.39414992061779604880052647032', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1120], [5, 6, 224], [7, 8, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81710985680071441408684931927', 'prec': 103}, 'szpiro_ratio': 5.086511292669169, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 20189
    {'Ciso': '3360k', 'Clabel': '3360k4', 'Cnumber': 4, 'abc_quality': 1.0153915089943955, 'absD': 448270925760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -17416, 1343384], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3360, 'degree': 15360, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5102570373606597235040814407', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1141100604753992, 875529151875], 'lmfdb_iso': '3360.p', 'lmfdb_label': '3360.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -17416, -1343384], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '12.12.0-4.c.1.2', '24.24.0-24.v.1.3', '40.24.0-40.bb.1.14', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.19707496030889802440026323516', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 4, 1120], [5, 6, 224], [7, 8, 480]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99039665194070074144115734961', 'prec': 103}, 'szpiro_ratio': 5.142208932340821, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}