Elliptic curve isogeny class data - 33600.de

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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, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 1, 0, 2, -2, 4, 0, -2, -4, 2, -2, -8, -4, -2, 12, 14, -8, 8, 2, -8, 4, -18, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 33600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '33600.de', 'trace_hash': 97379987243089120}
• ec_padic •

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

  
  
  • id: 1641292
    {'lmfdb_iso': '33600.de', 'p': 13, 'prec': 20, 'unit': 1182978862162318770150, 'val': 1}
  • id: 1641294
    {'lmfdb_iso': '33600.de', 'p': 17, 'prec': 20, 'unit': 190339018659191664330145, 'val': 1}
  • id: 1641295
    {'lmfdb_iso': '33600.de', 'p': 19, 'prec': 20, 'unit': 198138156879386177696710, 'val': 1}
  • id: 1641291
    {'lmfdb_iso': '33600.de', 'p': 29, 'prec': 20, 'unit': 3019289563096484940900360450, 'val': 1}
  • id: 1641302
    {'lmfdb_iso': '33600.de', 'p': 31, 'prec': 20, 'unit': 15567258662476704661019614330, 'val': 1}
  • id: 1641287
    {'lmfdb_iso': '33600.de', 'p': 37, 'prec': 20, 'unit': 555222562439666024192580664210, 'val': 1}
  • id: 1641289
    {'lmfdb_iso': '33600.de', 'p': 41, 'prec': 20, 'unit': 4245916895585552002235062030173, 'val': 1}
  • id: 1641290
    {'lmfdb_iso': '33600.de', 'p': 43, 'prec': 20, 'unit': 1183145067547688476281514482499, 'val': 1}
  • id: 1641300
    {'lmfdb_iso': '33600.de', 'p': 47, 'prec': 20, 'unit': 51340109107297849372039585507298, 'val': 1}
  • id: 1641296
    {'lmfdb_iso': '33600.de', 'p': 53, 'prec': 20, 'unit': 554695667124445609023876502449077, 'val': 1}
  • id: 1641297
    {'lmfdb_iso': '33600.de', 'p': 59, 'prec': 20, 'unit': 3197178153269671168733179522950044, 'val': 1}
  • id: 1641301
    {'lmfdb_iso': '33600.de', 'p': 61, 'prec': 20, 'unit': 3199136863243807818181093092753427, 'val': 1}
  • id: 1641286
    {'lmfdb_iso': '33600.de', 'p': 67, 'prec': 20, 'unit': 32320509512917257077064772034307015, 'val': 1}
  • id: 1641288
    {'lmfdb_iso': '33600.de', 'p': 71, 'prec': 20, 'unit': 148168707849023090482591124247703294, 'val': 1}
  • id: 1641298
    {'lmfdb_iso': '33600.de', 'p': 73, 'prec': 20, 'unit': 184821210061644894038077871723264938, 'val': 1}
  • id: 1641293
    {'lmfdb_iso': '33600.de', 'p': 79, 'prec': 20, 'unit': 803756501784420623116736713237202348, 'val': 1}
  • id: 1641285
    {'lmfdb_iso': '33600.de', 'p': 83, 'prec': 20, 'unit': 1532019182998494302616635495737565522, 'val': 1}
  • id: 1641299
    {'lmfdb_iso': '33600.de', 'p': 89, 'prec': 20, 'unit': 4869407533524361528532601395129209045, 'val': 1}
  • id: 1641284
    {'lmfdb_iso': '33600.de', 'p': 97, 'prec': 20, 'unit': 21264799942720960702620427168489117045, '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: 223852
    {'Ciso': '33600ev', 'Clabel': '33600ev4', 'Cnumber': 4, 'abc_quality': 0.9361359390695659, 'absD': 73758720000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -65633, -6436863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 98304, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5409178931144277848304849501', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [15267472418, 36015], 'lmfdb_iso': '33600.de', 'lmfdb_label': '33600.de1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -656, 6240], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0-4.c.1.2', '56.12.0.bb.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], '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': '1.0595919207494968343309168972', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 11200], [5, 18, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24575956889587825747764022191', 'prec': 107}, 'szpiro_ratio': 4.307033985226171, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 223850
    {'Ciso': '33600ev', 'Clabel': '33600ev2', 'Cnumber': 2, 'abc_quality': 1.1446028427291248, 'absD': 11289600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -5633, -16863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 49152, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1943443028344551301218688893', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2], 'jinv': [19307236, 11025], 'lmfdb_iso': '33600.de', 'lmfdb_label': '33600.de2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -56, 0], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0-2.a.1.1', '56.12.0.a.1', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1191838414989936686618337944', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 11200], [5, 18, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53457089412918880306815360592', 'prec': 107}, 'szpiro_ratio': 3.6002648195665192, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 223849
    {'Ciso': '33600ev', 'Clabel': '33600ev1', 'Cnumber': 1, 'abc_quality': 0.8244378162058338, 'absD': 26880000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -3633, 85137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 24576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84777071255448247541325282859', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [20720464, 105], 'lmfdb_iso': '33600.de', 'lmfdb_label': '33600.de3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -96], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '40.12.0-4.c.1.5', '56.12.0.bb.1', '120.24.0.?', '168.24.0.?', '210.6.0.?', '280.24.0.?', '420.12.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0595919207494968343309168972', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 4, 11200], [5, 18, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76561995431583723954056431306', 'prec': 107}, 'szpiro_ratio': 3.4740302213618874, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 223851
    {'Ciso': '33600ev', 'Clabel': '33600ev3', 'Cnumber': 3, 'abc_quality': 1.0038242787844163, 'absD': 725760000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, 22367, -156863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 98304, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5409178931144277848304849501', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [604223422, 354375], 'lmfdb_iso': '33600.de', 'lmfdb_label': '33600.de4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 224, 224], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0-4.c.1.6', '56.12.0.v.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], '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': '4.2383676829979873373236675887', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 4, 11200], [5, 18, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24575956889587825747764022191', 'prec': 107}, 'szpiro_ratio': 3.997165567957154, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}