Elliptic curve isogeny class data - 73920.f

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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, -1, 0, -2, 0, 1, 0, -2, 0, -4, 0], 'aplist': [0, -1, -1, -1, -1, -2, -2, -4, -8, -2, 0, -6, 2, -4, 4, 10, 0, -2, 4, 8, -10, 16, 4, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 73920, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '73920.f', 'trace_hash': 1535554201919677293}
• ec_padic •

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

  
  
  • id: 3797436
    {'lmfdb_iso': '73920.f', 'p': 13, 'prec': 20, 'unit': 666433773010042647679, 'val': 2}
  • id: 3797438
    {'lmfdb_iso': '73920.f', 'p': 17, 'prec': 20, 'unit': 219575775610081237891, 'val': 2}
  • id: 3797439
    {'lmfdb_iso': '73920.f', 'p': 19, 'prec': 20, 'unit': 1148023747934592979683555, 'val': 2}
  • id: 3797442
    {'lmfdb_iso': '73920.f', 'p': 23, 'prec': 20, 'unit': 24824428003667782462503946, 'val': 2}
  • id: 3797435
    {'lmfdb_iso': '73920.f', 'p': 29, 'prec': 20, 'unit': 2409783355868350561713952175, 'val': 2}
  • id: 3797431
    {'lmfdb_iso': '73920.f', 'p': 37, 'prec': 20, 'unit': 450358159558419106461984118086, 'val': 2}
  • id: 3797433
    {'lmfdb_iso': '73920.f', 'p': 41, 'prec': 20, 'unit': 2676498942412498573829633392918, 'val': 2}
  • id: 3797434
    {'lmfdb_iso': '73920.f', 'p': 43, 'prec': 20, 'unit': 6841361143744344759773409708825, 'val': 2}
  • id: 3797437
    {'lmfdb_iso': '73920.f', 'p': 47, 'prec': 20, 'unit': 12204213694810888868173634215487, 'val': 2}
  • id: 3797440
    {'lmfdb_iso': '73920.f', 'p': 53, 'prec': 20, 'unit': 93508815110548579746481296539643, 'val': 2}
  • id: 3797445
    {'lmfdb_iso': '73920.f', 'p': 61, 'prec': 20, 'unit': 338471621958692433634234685922346, 'val': 2}
  • id: 3797430
    {'lmfdb_iso': '73920.f', 'p': 67, 'prec': 20, 'unit': 40445693059574235728311410926761272, 'val': 2}
  • id: 3797432
    {'lmfdb_iso': '73920.f', 'p': 71, 'prec': 20, 'unit': 29447553379338044777275908105331313, 'val': 2}
  • id: 3797441
    {'lmfdb_iso': '73920.f', 'p': 73, 'prec': 20, 'unit': 51202180439441014095420484488681432, 'val': 2}
  • id: 3797444
    {'lmfdb_iso': '73920.f', 'p': 79, 'prec': 20, 'unit': 305112508157894380101020944387611484, 'val': 2}
  • id: 3797429
    {'lmfdb_iso': '73920.f', 'p': 83, 'prec': 20, 'unit': 2486447050792063978363101705742583817, 'val': 2}
  • id: 3797443
    {'lmfdb_iso': '73920.f', 'p': 89, 'prec': 20, 'unit': 4310699538872944918473623244646476876, 'val': 2}
  • id: 3797428
    {'lmfdb_iso': '73920.f', 'p': 97, 'prec': 20, 'unit': 49877263991062418656063271880771380029, 'val': 2}
• 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: 488209
    {'Ciso': '73920ee', 'Clabel': '73920ee4', 'Cnumber': 4, 'abc_quality': 1.0172142677062028, 'absD': 50374410240, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -4641, -119679], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 73920, 'degree': 81920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90465098622178165063797943272', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [337444269128, 1537305], 'lmfdb_iso': '73920.f', 'lmfdb_label': '73920.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1160, 15540], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '88.12.0.?', '168.12.0.?', '440.24.0.?', '840.24.0.?', '1848.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.9863777306542906471201850611', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 105], [3, 4, 24640], [5, 6, 14784], [7, 8, 10560], [11, 12, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038217010521850013866439280898', 'prec': 107}, 'szpiro_ratio': 3.2952220974254036, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 488207
    {'Ciso': '73920ee', 'Clabel': '73920ee2', 'Cnumber': 2, 'abc_quality': 1.0250423431234554, 'absD': 5464166400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -441, 441], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 73920, 'degree': 40960, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.55807739594180899592936337199', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [2320940224, 1334025], 'lmfdb_iso': '73920.f', 'lmfdb_label': '73920.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -110, 0], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '88.12.0.?', '168.12.0.?', '440.24.0.?', '840.24.0.?', '924.12.0.?', '1848.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 29, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.7465944326635726617800462653', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 24640], [5, 6, 14784], [7, 8, 10560], [11, 12, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13506978461813631348786874947', 'prec': 107}, 'szpiro_ratio': 2.665569607770416, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 488206
    {'Ciso': '73920ee', 'Clabel': '73920ee1', 'Cnumber': 1, 'abc_quality': 0.9302343673319426, 'absD': 9240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -316, 2266], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 73920, 'degree': 20480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21150380566183634122074731126', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [54698902336, 144375], 'lmfdb_iso': '73920.f', 'lmfdb_label': '73920.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1265, -16863], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '88.12.0.?', '168.12.0.?', '440.24.0.?', '840.24.0.?', '924.12.0.?', '1848.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.9863777306542906471201850611', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 231], [3, 4, 24640], [5, 6, 14784], [7, 8, 10560], [11, 12, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13506978461813631348786874947', 'prec': 107}, 'szpiro_ratio': 2.57645756619743, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 488208
    {'Ciso': '73920ee', 'Clabel': '73920ee3', 'Cnumber': 3, 'abc_quality': 0.9287847553828557, 'absD': 350501437440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, -1, 0, 1759, 1761], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 73920, 'degree': 81920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90465098622178165063797943272', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [18357958072, 10696455], 'lmfdb_iso': '73920.f', 'lmfdb_label': '73920.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 440, -440], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '88.12.0.?', '168.12.0.?', '440.24.0.?', '840.24.0.?', '1848.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.9863777306542906471201850611', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [3, 4, 24640], [5, 6, 14784], [7, 8, 10560], [11, 12, 6720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038217010521850013866439280898', 'prec': 107}, 'szpiro_ratio': 3.0355302714405314, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}