Elliptic curve isogeny class data - 6006.c

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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, -1, -1, 1, -2, 1, 1, -1, 1, 2, 1, -1, -1, -1, 2, 1, -2, -1, 0, -2], 'aplist': [-1, -1, -2, 1, 1, -1, -2, 0, 0, -6, 8, 10, 2, 0, 0, -2, -4, 2, -4, -12, -6, -16, 0, 10, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 6006, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6006.c', 'trace_hash': 1283559379773478261}
• ec_padic •

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

  
  
  • id: 231938
    {'lmfdb_iso': '6006.c', 'p': 5, 'prec': 20, 'unit': 7576320472398, 'val': 1}
  • id: 231932
    {'lmfdb_iso': '6006.c', 'p': 17, 'prec': 20, 'unit': 89943165354685342974761, 'val': 1}
  • id: 231930
    {'lmfdb_iso': '6006.c', 'p': 29, 'prec': 20, 'unit': 2529821676830499188705130358, 'val': 1}
  • id: 231928
    {'lmfdb_iso': '6006.c', 'p': 31, 'prec': 20, 'unit': 19655425866832005553796877836, 'val': 1}
  • id: 231926
    {'lmfdb_iso': '6006.c', 'p': 37, 'prec': 20, 'unit': 617044740703785489657038020859, 'val': 1}
  • id: 231929
    {'lmfdb_iso': '6006.c', 'p': 41, 'prec': 20, 'unit': 3392887796473659413149519110510, 'val': 1}
  • id: 231933
    {'lmfdb_iso': '6006.c', 'p': 53, 'prec': 20, 'unit': 518422752830291986213967053357394, 'val': 1}
  • id: 231936
    {'lmfdb_iso': '6006.c', 'p': 59, 'prec': 20, 'unit': 3197945405056371204018955869324236, 'val': 1}
  • id: 231937
    {'lmfdb_iso': '6006.c', 'p': 61, 'prec': 20, 'unit': 219917021171844981730181458780357, 'val': 1}
  • id: 231925
    {'lmfdb_iso': '6006.c', 'p': 67, 'prec': 20, 'unit': 7067556518461103602445057856116998, 'val': 1}
  • id: 231927
    {'lmfdb_iso': '6006.c', 'p': 71, 'prec': 20, 'unit': 52872949259398544900202568300528574, 'val': 1}
  • id: 231934
    {'lmfdb_iso': '6006.c', 'p': 73, 'prec': 20, 'unit': 225075052534499151643368674913531556, 'val': 1}
  • id: 231931
    {'lmfdb_iso': '6006.c', 'p': 79, 'prec': 20, 'unit': 261747214607445950954067095987769639, 'val': 1}
  • id: 231935
    {'lmfdb_iso': '6006.c', 'p': 89, 'prec': 20, 'unit': 93915134354256533657811637921790732, 'val': 1}
  • id: 231924
    {'lmfdb_iso': '6006.c', 'p': 97, 'prec': 20, 'unit': 53142557979209241191279996273579407657, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 37712
    {'Ciso': '6006i', 'Clabel': '6006i3', 'Cnumber': 3, 'abc_quality': 0.988701806496241, 'absD': 19163006232001632, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 1, 0, -241131, 44985501], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6006, 'degree': 61440, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9343472606231344802502339450', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [1550549616695674282297, 19163006232001632], 'lmfdb_iso': '6006.c', 'lmfdb_label': '6006.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -241131, 44985501], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '44.12.0-4.c.1.1', '88.24.0.?', '728.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.46631132079945317261807667717', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9343472606231344802502339450', 'prec': 100}, 'szpiro_ratio': 5.6080474117422865, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 37711
    {'Ciso': '6006i', 'Clabel': '6006i2', 'Cnumber': 2, 'abc_quality': 1.022140669084465, 'absD': 1216813084591104, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 1, 0, -28171, -715715], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6006, 'degree': 30720, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5877736703431618255416178843', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [2472604133104833337, 1216813084591104], 'lmfdb_iso': '6006.c', 'lmfdb_label': '6006.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -28171, -715715], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '44.12.0-2.a.1.1', '88.24.0.?', '364.12.0.?', '728.24.0.?', '4004.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.93262264159890634523615335434', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5877736703431618255416178843', 'prec': 100}, 'szpiro_ratio': 4.867735672191483, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 37710
    {'Ciso': '6006i', 'Clabel': '6006i1', 'Cnumber': 1, 'abc_quality': 0.9968482275938082, 'absD': 1143041163264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 1, 0, -23051, -1355715], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6006, 'degree': 15360, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2412000800631891708330018236', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [1354635530322645817, 1143041163264], 'lmfdb_iso': '6006.c', 'lmfdb_label': '6006.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -23051, -1355715], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '44.12.0-4.c.1.2', '88.24.0.?', '364.12.0.?', '728.24.0.?', '2002.6.0.?', '4004.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8652452831978126904723067087', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2412000800631891708330018236', 'prec': 100}, 'szpiro_ratio': 4.7985743046994065, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 37713
    {'Ciso': '6006i', 'Clabel': '6006i4', 'Cnumber': 4, 'abc_quality': 1.000590005003512, 'absD': 82251930897103968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 1, 0, 102869, -5354531], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6006, 'degree': 61440, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9343472606231344802502339450', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [120384526693766101703, 82251930897103968], 'lmfdb_iso': '6006.c', 'lmfdb_label': '6006.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 102869, -5354531], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '88.24.0.?', '364.12.0.?', '728.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8652452831978126904723067087', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9343472606231344802502339450', 'prec': 100}, 'szpiro_ratio': 5.314309173209808, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}