Elliptic curve isogeny class data - 30576.cc

Formats: - HTML - YAML - JSON - 2025-02-14T05:19:03.774218

• 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, 0, 0, 1, 0, 0, 0, -1, 0, -2, 0, -2, 0, -4, 0], 'aplist': [0, 1, -2, 0, 0, -1, -2, -4, 0, 6, 0, -2, -6, 12, -4, 6, -8, 2, -4, 12, 14, 0, 8, 18, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 30576, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '30576.cc', 'trace_hash': 188092486214950655}
• ec_padic •

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

  
  
  • id: 1481862
    {'lmfdb_iso': '30576.cc', 'p': 5, 'prec': 20, 'unit': 9940837883571, 'val': 1}
  • id: 1481855
    {'lmfdb_iso': '30576.cc', 'p': 17, 'prec': 20, 'unit': 210430359909380817289593, 'val': 1}
  • id: 1481846
    {'lmfdb_iso': '30576.cc', 'p': 19, 'prec': 20, 'unit': 323605225617339638122034, 'val': 1}
  • id: 1481853
    {'lmfdb_iso': '30576.cc', 'p': 29, 'prec': 20, 'unit': 3844775842577464198513533893, 'val': 1}
  • id: 1481849
    {'lmfdb_iso': '30576.cc', 'p': 37, 'prec': 20, 'unit': 432757923539155788899656891720, 'val': 1}
  • id: 1481851
    {'lmfdb_iso': '30576.cc', 'p': 41, 'prec': 20, 'unit': 3742874618234654649086548050007, 'val': 1}
  • id: 1481852
    {'lmfdb_iso': '30576.cc', 'p': 43, 'prec': 20, 'unit': 4341302138901225553524019563623, 'val': 1}
  • id: 1481854
    {'lmfdb_iso': '30576.cc', 'p': 47, 'prec': 20, 'unit': 12496031262790742289467741125698, 'val': 1}
  • id: 1481857
    {'lmfdb_iso': '30576.cc', 'p': 53, 'prec': 20, 'unit': 340381337685329554062633522511456, 'val': 1}
  • id: 1481860
    {'lmfdb_iso': '30576.cc', 'p': 59, 'prec': 20, 'unit': 4219142900919097548918197393941783, 'val': 1}
  • id: 1481861
    {'lmfdb_iso': '30576.cc', 'p': 61, 'prec': 20, 'unit': 5483599267352827331117915494788102, 'val': 1}
  • id: 1481848
    {'lmfdb_iso': '30576.cc', 'p': 67, 'prec': 20, 'unit': 9413228998147360107499081825972634, 'val': 1}
  • id: 1481850
    {'lmfdb_iso': '30576.cc', 'p': 71, 'prec': 20, 'unit': 94799907859831551771252259374430929, 'val': 1}
  • id: 1481858
    {'lmfdb_iso': '30576.cc', 'p': 73, 'prec': 20, 'unit': 157879364089093935655091760953222656, 'val': 1}
  • id: 1481856
    {'lmfdb_iso': '30576.cc', 'p': 83, 'prec': 20, 'unit': 1569831313508367992630977977268829132, 'val': 1}
  • id: 1481859
    {'lmfdb_iso': '30576.cc', 'p': 89, 'prec': 20, 'unit': 749366482307358495725555460579702519, 'val': 1}
  • id: 1481847
    {'lmfdb_iso': '30576.cc', 'p': 97, 'prec': 20, 'unit': 26272384482178890246031045654540964446, '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: 203547
    {'Ciso': '30576w', 'Clabel': '30576w4', 'Cnumber': 4, 'abc_quality': 1.052193877800105, 'absD': 4698430464, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -40784, -3183804], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30576, 'degree': 49152, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1760803990303756308626737123', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 4], 'jinv': [62275269892, 39], 'lmfdb_iso': '30576.cc', 'lmfdb_label': '30576.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -832, -9520], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '56.12.0-4.c.1.5', '84.12.0.?', '104.12.0.?', '156.12.0.?', '168.24.0.?', '312.24.0.?', '364.12.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], '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': '8.1279684789331494727475240822', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1911], [3, 4, 10192], [7, 26, 624], [13, 14, 2352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942730', 'prec': 107}, 'szpiro_ratio': 4.208160957790853, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 203545
    {'Ciso': '30576w', 'Clabel': '30576w2', 'Cnumber': 2, 'abc_quality': 0.9871496807008809, 'absD': 45809697024, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1092, 'ainvs': [0, 1, 0, -2564, -49764], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30576, 'degree': 24576, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82950680875040297615405765155', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2], 'jinv': [61918288, 1521], 'lmfdb_iso': '30576.cc', 'lmfdb_label': '30576.cc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -52, -160], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0-2.a.1.1', '52.12.0.b.1', '84.24.0.?', '156.24.0.?', '364.24.0.?', '1092.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0639842394665747363737620411', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 10192], [7, 26, 624], [13, 14, 2352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60554638615055054934344013448', 'prec': 107}, 'szpiro_ratio': 3.4045376011006754, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 203544
    {'Ciso': '30576w', 'Clabel': '30576w1', 'Cnumber': 1, 'abc_quality': 0.9241957238555172, 'absD': 1982150352, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -359, 1392], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30576, 'degree': 12288, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48293321847043032144544159083', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 1053], 'lmfdb_iso': '30576.cc', 'lmfdb_label': '30576.cc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 2], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '26.6.0.b.1', '28.12.0-4.c.1.1', '52.12.0.g.1', '168.24.0.?', '312.24.0.?', '364.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0319921197332873681868810205', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 637], [3, 4, 10192], [7, 26, 624], [13, 14, 2352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72107091624387476757964548805', 'prec': 107}, 'szpiro_ratio': 2.8336984453404375, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 203546
    {'Ciso': '30576w', 'Clabel': '30576w3', 'Cnumber': 3, 'abc_quality': 1.0753683800031117, 'absD': 10322451729408, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, 376, -154428], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30576, 'degree': 49152, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1760803990303756308626737123', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 4], 'jinv': [48668, 85683], 'lmfdb_iso': '30576.cc', 'lmfdb_label': '30576.cc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 8, -448], 'min_quad_twist_disc': 28, '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', '28.12.0-4.c.1.2', '84.24.0.?', '104.12.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], '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': '2.0319921197332873681868810205', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 10192], [7, 26, 624], [13, 14, 2352]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942730', 'prec': 107}, 'szpiro_ratio': 3.6231448382343157, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}