Elliptic curve isogeny class data - 58800.hl

Formats: - HTML - YAML - JSON - 2024-04-28T12:28:34.274941

• 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, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 1, 0, 0, 0, -2, 6, -4, 4, 6, 0, -6, -6, -4, -8, -14, -4, 2, 12, 12, 10, -8, 4, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 58800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '58800.hl', 'trace_hash': 2013393546696185105}
• ec_padic •

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

  
  
  • id: 2983090
    {'lmfdb_iso': '58800.hl', 'p': 13, 'prec': 20, 'unit': 367160079366316958512, 'val': 1}
  • id: 2983092
    {'lmfdb_iso': '58800.hl', 'p': 17, 'prec': 20, 'unit': 66813346414238446198224, 'val': 1}
  • id: 2983093
    {'lmfdb_iso': '58800.hl', 'p': 19, 'prec': 20, 'unit': 296087698346970475316645, 'val': 1}
  • id: 2983097
    {'lmfdb_iso': '58800.hl', 'p': 23, 'prec': 20, 'unit': 71505225237625337283338951, 'val': 1}
  • id: 2983089
    {'lmfdb_iso': '58800.hl', 'p': 29, 'prec': 20, 'unit': 5655198814017750237974799455, 'val': 1}
  • id: 2983085
    {'lmfdb_iso': '58800.hl', 'p': 37, 'prec': 20, 'unit': 402157614160178267387774152533, 'val': 1}
  • id: 2983087
    {'lmfdb_iso': '58800.hl', 'p': 41, 'prec': 20, 'unit': 3983956967802037902056279213387, 'val': 1}
  • id: 2983088
    {'lmfdb_iso': '58800.hl', 'p': 43, 'prec': 20, 'unit': 544841218785048669479177391213, 'val': 1}
  • id: 2983099
    {'lmfdb_iso': '58800.hl', 'p': 47, 'prec': 20, 'unit': 24218018034470054437778937139032, 'val': 1}
  • id: 2983094
    {'lmfdb_iso': '58800.hl', 'p': 53, 'prec': 20, 'unit': 49213234567002782639427114313110, 'val': 1}
  • id: 2983095
    {'lmfdb_iso': '58800.hl', 'p': 59, 'prec': 20, 'unit': 32930626793656953020308253504879, 'val': 2}
  • id: 2983100
    {'lmfdb_iso': '58800.hl', 'p': 61, 'prec': 20, 'unit': 3187639603096002270254408660090247, 'val': 1}
  • id: 2983084
    {'lmfdb_iso': '58800.hl', 'p': 67, 'prec': 20, 'unit': 7819886664478865153137829557167240, 'val': 1}
  • id: 2983086
    {'lmfdb_iso': '58800.hl', 'p': 71, 'prec': 20, 'unit': 107643934379770986181456862442529654, 'val': 1}
  • id: 2983096
    {'lmfdb_iso': '58800.hl', 'p': 73, 'prec': 20, 'unit': 210779012976154467045233195221850461, 'val': 1}
  • id: 2983091
    {'lmfdb_iso': '58800.hl', 'p': 79, 'prec': 20, 'unit': 1012581136522598788409400853478435756, 'val': 1}
  • id: 2983083
    {'lmfdb_iso': '58800.hl', 'p': 83, 'prec': 20, 'unit': 766267556054116519391401796468409703, 'val': 1}
  • id: 2983098
    {'lmfdb_iso': '58800.hl', 'p': 89, 'prec': 20, 'unit': 9275033354946396440817152546032945516, 'val': 1}
  • id: 2983082
    {'lmfdb_iso': '58800.hl', 'p': 97, 'prec': 20, 'unit': 39881599939948265713713555112326094839, '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: 389655
    {'Ciso': '58800ct', 'Clabel': '58800ct4', 'Cnumber': 4, 'abc_quality': 0.9761022274426737, 'absD': 26682793200000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -4577008, -3770470012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 1179648, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3901476581914827714499455422', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 193, 'isogeny_degrees': [1, 2, 4], 'jinv': [5633270409316, 14175], 'lmfdb_iso': '58800.hl', 'lmfdb_label': '58800.hl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3736, -86660], 'min_quad_twist_disc': 140, '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.z.1', '28.12.0.h.1', '120.24.0.?', '140.24.0.?', '168.24.0.?', '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': '4.7612099503984356602614912794', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.034850976980154840415862735981', 'prec': 107}, 'szpiro_ratio': 5.247114478600571, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389654
    {'Ciso': '58800ct', 'Clabel': '58800ct3', 'Cnumber': 3, 'abc_quality': 0.9482276041115532, 'absD': 15441431250000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -804008, 202841988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 1179648, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3901476581914827714499455422', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 193, 'isogeny_degrees': [1, 2, 4], 'jinv': [30534944836, 8203125], 'lmfdb_iso': '58800.hl', 'lmfdb_label': '58800.hl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -656, 4956], 'min_quad_twist_disc': 140, '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.z.1', '42.6.0.a.1', '56.12.0.ba.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': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7612099503984356602614912794', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.034850976980154840415862735981', 'prec': 107}, 'szpiro_ratio': 4.772007708018456, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389653
    {'Ciso': '58800ct', 'Clabel': '58800ct2', 'Cnumber': 2, 'abc_quality': 0.9068964182020077, 'absD': 129708022500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 420, 'ainvs': [0, 1, 0, -289508, -57495012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 589824, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0435740679115101167413294814', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 193, 'isogeny_degrees': [1, 2], 'jinv': [5702413264, 275625], 'lmfdb_iso': '58800.hl', 'lmfdb_label': '58800.hl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -236, -1260], 'min_quad_twist_disc': 140, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '20.12.0-2.a.1.1', '28.12.0.a.1', '60.24.0-12.b.1.3', '84.24.0.?', '140.24.0.?', '420.48.0.?'], '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': '9.5224199007968713205229825588', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19619808320649359605654797124', 'prec': 107}, 'szpiro_ratio': 4.492977899328517, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 389652
    {'Ciso': '58800ct', 'Clabel': '58800ct1', 'Cnumber': 1, 'abc_quality': 0.9867789519759232, 'absD': 5296410918750000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, 10617, -3472512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 294912, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6970004776315374620327134207', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 193, 'isogeny_degrees': [1, 2, 4], 'jinv': [4499456, 180075], 'lmfdb_iso': '58800.hl', 'lmfdb_label': '58800.hl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 9, -84], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '40.12.0-4.c.1.5', '56.12.0.ba.1', '120.24.0.?', '140.12.0.?', '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': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.044839801593742641045965118', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31172261329981781429275332479', 'prec': 107}, 'szpiro_ratio': 3.974355235481473, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}