Elliptic curve isogeny class data - 3570.s

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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, -1, -1, 1, 1, 1, -1, 0, -1, -2, 1, 1, 1, -1, 1, 0, -1], 'aplist': [1, -1, -1, 1, 0, -2, -1, 0, -4, -6, -8, -2, 6, -4, 8, 6, -4, -14, 4, 12, -2, 0, -12, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 3570, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3570.s', 'trace_hash': 1748354874052504194}
• ec_padic •

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

  
  
  • id: 121081
    {'lmfdb_iso': '3570.s', 'p': 13, 'prec': 20, 'unit': 1054247200792862890209, 'val': 1}
  • id: 121086
    {'lmfdb_iso': '3570.s', 'p': 23, 'prec': 20, 'unit': 71709096923231089367635502, 'val': 1}
  • id: 121080
    {'lmfdb_iso': '3570.s', 'p': 29, 'prec': 20, 'unit': 5312355992356070867413601813, 'val': 1}
  • id: 121090
    {'lmfdb_iso': '3570.s', 'p': 31, 'prec': 20, 'unit': 19026295348831493489058133371, 'val': 1}
  • id: 121076
    {'lmfdb_iso': '3570.s', 'p': 37, 'prec': 20, 'unit': 40695397012255075807116917105, 'val': 1}
  • id: 121078
    {'lmfdb_iso': '3570.s', 'p': 41, 'prec': 20, 'unit': 3215038807759391484181177189232, 'val': 1}
  • id: 121079
    {'lmfdb_iso': '3570.s', 'p': 43, 'prec': 20, 'unit': 295221051396120611779862100176, 'val': 1}
  • id: 121082
    {'lmfdb_iso': '3570.s', 'p': 47, 'prec': 20, 'unit': 43572039120930542007082740815820, 'val': 1}
  • id: 121084
    {'lmfdb_iso': '3570.s', 'p': 53, 'prec': 20, 'unit': 183075791867348013078610056974782, 'val': 1}
  • id: 121088
    {'lmfdb_iso': '3570.s', 'p': 59, 'prec': 20, 'unit': 4403777911865296113957811022457326, 'val': 1}
  • id: 121089
    {'lmfdb_iso': '3570.s', 'p': 61, 'prec': 20, 'unit': 1905520290033814218912056754214981, 'val': 1}
  • id: 121075
    {'lmfdb_iso': '3570.s', 'p': 67, 'prec': 20, 'unit': 24855909443253247364945844518893734, 'val': 1}
  • id: 121077
    {'lmfdb_iso': '3570.s', 'p': 71, 'prec': 20, 'unit': 20388689843479123780364557014792412, 'val': 1}
  • id: 121085
    {'lmfdb_iso': '3570.s', 'p': 73, 'prec': 20, 'unit': 67107562287730209674943851982306767, 'val': 1}
  • id: 121083
    {'lmfdb_iso': '3570.s', 'p': 83, 'prec': 20, 'unit': 306095923932226927943069315553041454, 'val': 1}
  • id: 121087
    {'lmfdb_iso': '3570.s', 'p': 89, 'prec': 20, 'unit': 9460659464767403811433801620536017547, 'val': 1}
  • id: 121074
    {'lmfdb_iso': '3570.s', 'p': 97, 'prec': 20, 'unit': 13707134026675739647504730030313400275, '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: 21570
    {'Ciso': '3570r', 'Clabel': '3570r4', 'Cnumber': 4, 'abc_quality': 0.9615579111781306, 'absD': 175394100, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [1, 1, 1, -11206, 451919], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3570, 'degree': 4096, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86717852882067958555472878234', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [155624507032726369, 175394100], 'lmfdb_iso': '3570.s', 'lmfdb_label': '3570.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -11206, 451919], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '28.12.0-4.c.1.1', '42.6.0.a.1', '84.24.0.?', '136.12.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], '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': '1.4019465005059121528182185508', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86717852882067958555472878234', 'prec': 103}, 'szpiro_ratio': 4.839201676860705, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 21569
    {'Ciso': '3570r', 'Clabel': '3570r3', 'Cnumber': 3, 'abc_quality': 0.9422431380602531, 'absD': 191329687500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [1, 1, 1, -1726, -18577], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3570, 'degree': 4096, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86717852882067958555472878234', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [568671957006049, 191329687500], 'lmfdb_iso': '3570.s', 'lmfdb_label': '3570.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1726, -18577], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '56.12.0-4.c.1.5', '68.12.0-4.c.1.1', '168.24.0.?', '204.24.0.?', '952.24.0.?', '2856.48.0.?'], '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': '1.4019465005059121528182185508', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86717852882067958555472878234', 'prec': 103}, 'szpiro_ratio': 4.153177531592539, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 21568
    {'Ciso': '3570r', 'Clabel': '3570r2', 'Cnumber': 2, 'abc_quality': 0.9142296752810641, 'absD': 1274490000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1428, 'ainvs': [1, 1, 1, -706, 6719], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3570, 'degree': 2048, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.52060493854070693084611272161', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [38920307374369, 1274490000], 'lmfdb_iso': '3570.s', 'lmfdb_label': '3570.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -706, 6719], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '28.12.0-2.a.1.1', '68.12.0-2.a.1.1', '84.24.0.?', '204.24.0.?', '476.24.0.?', '1428.48.0.?'], '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': '0.70097325025295607640910927541', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52060493854070693084611272161', 'prec': 103}, 'szpiro_ratio': 3.8253434981149406, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 21567
    {'Ciso': '3570r', 'Clabel': '3570r1', 'Cnumber': 1, 'abc_quality': 0.9272747085770476, 'absD': 61689600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [1, 1, 1, 14, 383], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3570, 'degree': 1024, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17403134826073427613749666088', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [302111711, 61689600], 'lmfdb_iso': '3570.s', 'lmfdb_label': '3570.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 14, 383], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '28.12.0-4.c.1.2', '68.12.0-4.c.1.2', '168.24.0.?', '238.6.0.?', '408.24.0.?', '476.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.35048662512647803820455463771', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17403134826073427613749666088', 'prec': 103}, 'szpiro_ratio': 3.1037300557163814, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}