Elliptic curve isogeny class data - 360.a

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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, -4, 0, 0, 0, -4, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -4, -4, -2, -2, 4, -4, 2, -8, 6, 6, -8, -4, -6, 4, -2, 8, 0, -6, 0, 16, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 360, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '360.a', 'trace_hash': 689300340934678531}
• ec_padic •

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

  
  
  • id: 4444
    {'lmfdb_iso': '360.a', 'p': 7, 'prec': 20, 'unit': 2965786170790432, 'val': 1}
  • id: 4442
    {'lmfdb_iso': '360.a', 'p': 11, 'prec': 20, 'unit': 23321301148522998011, 'val': 1}
  • id: 4448
    {'lmfdb_iso': '360.a', 'p': 13, 'prec': 20, 'unit': 116957694373748404412, 'val': 1}
  • id: 4450
    {'lmfdb_iso': '360.a', 'p': 17, 'prec': 20, 'unit': 193880140744218988838217, 'val': 1}
  • id: 4451
    {'lmfdb_iso': '360.a', 'p': 19, 'prec': 20, 'unit': 49620146898873961185954, 'val': 1}
  • id: 4454
    {'lmfdb_iso': '360.a', 'p': 23, 'prec': 20, 'unit': 26639834898054361427369653, 'val': 1}
  • id: 4447
    {'lmfdb_iso': '360.a', 'p': 29, 'prec': 20, 'unit': 869257968826992320919684793, 'val': 1}
  • id: 4459
    {'lmfdb_iso': '360.a', 'p': 31, 'prec': 20, 'unit': 19856020156664104178655640989, 'val': 1}
  • id: 4443
    {'lmfdb_iso': '360.a', 'p': 37, 'prec': 20, 'unit': 544221881356672239385636406805, 'val': 1}
  • id: 4445
    {'lmfdb_iso': '360.a', 'p': 41, 'prec': 20, 'unit': 2177773794778204979352838811285, 'val': 1}
  • id: 4446
    {'lmfdb_iso': '360.a', 'p': 43, 'prec': 20, 'unit': 6367660511892255583080605320213, 'val': 1}
  • id: 4449
    {'lmfdb_iso': '360.a', 'p': 47, 'prec': 20, 'unit': 24899861911186328029915440740095, 'val': 1}
  • id: 4452
    {'lmfdb_iso': '360.a', 'p': 53, 'prec': 20, 'unit': 44151541784450792958274401466309, 'val': 1}
  • id: 4456
    {'lmfdb_iso': '360.a', 'p': 59, 'prec': 20, 'unit': 522841456429039442361394629611270, 'val': 1}
  • id: 4457
    {'lmfdb_iso': '360.a', 'p': 61, 'prec': 20, 'unit': 7671753708722923505635377671941280, 'val': 1}
  • id: 4441
    {'lmfdb_iso': '360.a', 'p': 67, 'prec': 20, 'unit': 36732381231097826923393136026995239, 'val': 1}
  • id: 4453
    {'lmfdb_iso': '360.a', 'p': 73, 'prec': 20, 'unit': 131812969020306433383919062959135636, 'val': 1}
  • id: 4458
    {'lmfdb_iso': '360.a', 'p': 83, 'prec': 20, 'unit': 553507673417365968940713119842873071, 'val': 1}
  • id: 4455
    {'lmfdb_iso': '360.a', 'p': 89, 'prec': 20, 'unit': 10827602217865126925459447678432582833, 'val': 1}
  • id: 4440
    {'lmfdb_iso': '360.a', 'p': 97, 'prec': 20, 'unit': 37969239516611217672712535949106882657, '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: 1491
    {'Ciso': '360e', 'Clabel': '360e3', 'Cnumber': 3, 'abc_quality': 1.1363232938776144, 'absD': 3732480, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, 0, 0, -963, 11502], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 360, 'degree': 128, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.34709236233786493295914268225', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [132304644, 5], 'lmfdb_iso': '360.a', 'lmfdb_label': '360.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -107, -426], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '12.12.0-4.c.1.1', '16.24.0.i.1', '20.12.0.g.1', '24.24.0-8.o.1.6', '40.48.0.bq.1', '48.48.0-16.i.1.8', '60.24.0-20.g.1.1', '80.96.3.?', '120.96.0.?', '240.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68376129266303463600326595459', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 40], [5, 6, 72]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670409', 'prec': 107}, 'szpiro_ratio': 5.474548716084976, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1490
    {'Ciso': '360e', 'Clabel': '360e2', 'Cnumber': 2, 'abc_quality': 1.0917548251330267, 'absD': 4665600, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 120, 'ainvs': [0, 0, 0, -63, 162], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 360, 'degree': 64, 'elladic_images': ['8.24.0.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.00051877205789227825052662151695', 'prec': 113}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [148176, 25], 'lmfdb_iso': '360.a', 'lmfdb_label': '360.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, -6], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.g.1', '12.24.0-4.a.1.1', '20.24.0.b.1', '24.48.0-8.g.1.1', '40.96.3.bk.1', '60.48.0-20.b.1.1', '120.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.34188064633151731800163297730', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 40], [5, 6, 72]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0108854926494594403919174112', 'prec': 103}, 'szpiro_ratio': 4.084706468562842, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1489
    {'Ciso': '360e', 'Clabel': '360e1', 'Cnumber': 1, 'abc_quality': 1.018975235452531, 'absD': 58320, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, 0, 0, -18, -27], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 360, 'degree': 32, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.34605481822208037645808943921', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [55296, 5], 'lmfdb_iso': '360.a', 'lmfdb_label': '360.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2, 1], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '12.12.0-4.c.1.2', '16.24.0.i.1', '20.12.0.g.1', '24.24.0-8.o.1.8', '40.48.0.bq.2', '48.48.0-16.i.1.7', '60.24.0-20.g.1.2', '80.96.3.?', '120.96.0.?', '240.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68376129266303463600326595459', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 40], [5, 6, 72]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1264100227427836586281227648', 'prec': 103}, 'szpiro_ratio': 3.446204517967827, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1492
    {'Ciso': '360e', 'Clabel': '360e4', 'Cnumber': 4, 'abc_quality': 1.0467057018818753, 'absD': 466560000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, 0, 0, 117, 918], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 360, 'degree': 128, 'elladic_images': ['4.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.34709236233786493295914268225', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [237276, 625], 'lmfdb_iso': '360.a', 'lmfdb_label': '360.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 13, -34], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0.c.1', '12.48.0-4.c.1.1', '40.48.1.dk.1', '80.96.3.?', '120.96.1.?', '240.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68376129266303463600326595459', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 40], [5, 6, 72]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670409', 'prec': 107}, 'szpiro_ratio': 4.61553859287734, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}