Elliptic curve isogeny class data - 18176.p

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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, 2, 0, 3, 0, -2, 0, 0, 0, -1, 0, 2, 0, -2, 0, -1, 0], 'aplist': [0, 1, 2, 3, 0, -1, -2, -1, -1, -4, -7, -2, 8, -1, -3, 6, 6, -10, -2, 1, 11, -10, -4, 5, -2], 'class_deg': 25, 'class_size': 3, 'conductor': 18176, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '18176.p', 'trace_hash': 611758441412964502}
• ec_padic •

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

  
  
  • id: 834230
    {'lmfdb_iso': '18176.p', 'p': 5, 'prec': 20, 'unit': 14974699460406, 'val': 1}
  • id: 834231
    {'lmfdb_iso': '18176.p', 'p': 7, 'prec': 20, 'unit': 8231295203100016, 'val': 1}
  • id: 834236
    {'lmfdb_iso': '18176.p', 'p': 13, 'prec': 20, 'unit': 56348035009938681274, 'val': 1}
  • id: 834238
    {'lmfdb_iso': '18176.p', 'p': 17, 'prec': 20, 'unit': 31818502686770895910814, 'val': 1}
  • id: 834239
    {'lmfdb_iso': '18176.p', 'p': 19, 'prec': 20, 'unit': 647381373045255010258737, 'val': 1}
  • id: 834243
    {'lmfdb_iso': '18176.p', 'p': 23, 'prec': 20, 'unit': 69967123840839726329361140, 'val': 1}
  • id: 834235
    {'lmfdb_iso': '18176.p', 'p': 29, 'prec': 20, 'unit': 239627994289429421667247525, 'val': 1}
  • id: 834232
    {'lmfdb_iso': '18176.p', 'p': 31, 'prec': 20, 'unit': 5995683983338712066028248, 'val': 3}
  • id: 834247
    {'lmfdb_iso': '18176.p', 'p': 37, 'prec': 20, 'unit': 250881152629292806634471773650, 'val': 1}
  • id: 834233
    {'lmfdb_iso': '18176.p', 'p': 41, 'prec': 20, 'unit': 534263827160070174878007866766, 'val': 1}
  • id: 834234
    {'lmfdb_iso': '18176.p', 'p': 43, 'prec': 20, 'unit': 6673122853383801924481057481188, 'val': 1}
  • id: 834245
    {'lmfdb_iso': '18176.p', 'p': 47, 'prec': 20, 'unit': 46242679021948006194824721383964, 'val': 1}
  • id: 834240
    {'lmfdb_iso': '18176.p', 'p': 53, 'prec': 20, 'unit': 261151581675206796589203993288661, 'val': 1}
  • id: 834241
    {'lmfdb_iso': '18176.p', 'p': 59, 'prec': 20, 'unit': 2882201857902604024649034084263411, 'val': 1}
  • id: 834246
    {'lmfdb_iso': '18176.p', 'p': 61, 'prec': 20, 'unit': 1197071366666889306976397113636004, 'val': 1}
  • id: 834229
    {'lmfdb_iso': '18176.p', 'p': 67, 'prec': 20, 'unit': 18092176243545418703312144037490596, 'val': 1}
  • id: 834242
    {'lmfdb_iso': '18176.p', 'p': 73, 'prec': 20, 'unit': 199614808872578756272937520448282841, 'val': 1}
  • id: 834237
    {'lmfdb_iso': '18176.p', 'p': 79, 'prec': 20, 'unit': 981481371097404245575348965375683332, 'val': 1}
  • id: 834228
    {'lmfdb_iso': '18176.p', 'p': 83, 'prec': 20, 'unit': 2649933061058186046964803920552026979, 'val': 1}
  • id: 834244
    {'lmfdb_iso': '18176.p', 'p': 89, 'prec': 20, 'unit': 8680014357191269439259817528086305155, 'val': 1}
  • id: 834227
    {'lmfdb_iso': '18176.p', 'p': 97, 'prec': 20, 'unit': 50317203519540432089991244695150593148, '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: 120060
    {'Ciso': '18176q', 'Clabel': '18176q3', 'Cnumber': 3, 'abc_quality': 1.043177284076972, 'absD': 2326528, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 28400, 'ainvs': [0, 1, 0, -10513917, 13118341787], 'analytic_rank': 1, 'bad_primes': [2, 71], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 18176, 'degree': 147200, 'elladic_images': ['25.30.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1825160948607008563752614315', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 15, 'isogeny_degrees': [1, 5, 25], 'jinv': [3922540634246430781376, 71], 'lmfdb_iso': '18176.p', 'lmfdb_label': '18176.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2628479, 1641106963], 'min_quad_twist_disc': 8, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '25.30.0.a.1', '40.12.0.bp.2', '80.24.0.?', '200.60.0.?', '400.120.0.?', '568.2.0.?', '1420.12.0.?', '1775.150.4.?', '2840.24.1.?', '5680.48.1.?', '7100.300.14.?', '14200.600.37.?', '28400.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9686776638313823081208637374', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 71], [71, 72, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3160821191607692196037212797', 'prec': 100}, 'szpiro_ratio': 6.12959918311655, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 120059
    {'Ciso': '18176q', 'Clabel': '18176q2', 'Cnumber': 2, 'abc_quality': 0.9556798643741012, 'absD': 59120987373568, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 28400, 'ainvs': [0, 1, 0, -17277, 786203], 'analytic_rank': 1, 'bad_primes': [2, 71], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 18176, 'degree': 29440, 'elladic_images': ['5.30.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3777971386436506690748817649', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 15, 'isogeny_degrees': [1, 5], 'jinv': [17406197775296, 1804229351], 'lmfdb_iso': '18176.p', 'lmfdb_label': '18176.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4319, 100435], 'min_quad_twist_disc': 8, 'modell_images': ['5Cs'], 'modm_images': ['5.30.0.a.1', '40.60.0.b.1', '80.120.0.?', '568.2.0.?', '1420.60.2.?', '1775.150.4.?', '2840.120.5.?', '5680.240.5.?', '7100.300.14.?', '14200.600.37.?', '28400.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1937355327662764616241727475', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 71], [5, 2, 256], [71, 72, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51136316294371903230334161308', 'prec': 103}, 'szpiro_ratio': 4.1686021544580125, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 120058
    {'Ciso': '18176q', 'Clabel': '18176q1', 'Cnumber': 1, 'abc_quality': 1.142670854874374, 'absD': 2326528, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 28400, 'ainvs': [0, 1, 0, -3837, -92773], 'analytic_rank': 1, 'bad_primes': [2, 71], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 18176, 'degree': 5888, 'elladic_images': ['25.30.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.57307818242660048177450209829', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 5, 25], 'jinv': [190705121216, 71], 'lmfdb_iso': '18176.p', 'lmfdb_label': '18176.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -959, -11117], 'min_quad_twist_disc': 8, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '25.30.0.a.1', '40.12.0.bp.1', '80.24.0.?', '200.60.0.?', '400.120.0.?', '568.2.0.?', '1420.12.0.?', '1775.150.4.?', '2840.24.1.?', '5680.48.1.?', '7100.300.14.?', '14200.600.37.?', '28400.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9686776638313823081208637374', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 71], [71, 72, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29335579327333115499703805353', 'prec': 107}, 'szpiro_ratio': 3.708373880257566, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}