Elliptic curve isogeny class data - 80850.bv

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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, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, 1, -6, 0, 0, 1, -6, -1, 4, 0], 'aplist': [-1, 1, 0, 0, -1, -6, -6, 4, 4, 2, 0, -2, 2, 4, -8, -2, -8, -2, -4, 8, -6, 12, 0, -2, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 80850, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '80850.bv', 'trace_hash': 1009032880423372718}
• ec_padic •

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

  
  
  • id: 4166820
    {'lmfdb_iso': '80850.bv', 'p': 13, 'prec': 20, 'unit': 1379884086424588836904, 'val': 1}
  • id: 4166822
    {'lmfdb_iso': '80850.bv', 'p': 17, 'prec': 20, 'unit': 55247800440799046462089, 'val': 1}
  • id: 4166823
    {'lmfdb_iso': '80850.bv', 'p': 19, 'prec': 20, 'unit': 1446983466156847795463572, 'val': 1}
  • id: 4166827
    {'lmfdb_iso': '80850.bv', 'p': 23, 'prec': 20, 'unit': 30097240302161539327383742, 'val': 1}
  • id: 4166819
    {'lmfdb_iso': '80850.bv', 'p': 29, 'prec': 20, 'unit': 4976098098780128947852733759, 'val': 1}
  • id: 4166815
    {'lmfdb_iso': '80850.bv', 'p': 37, 'prec': 20, 'unit': 323619877544015110229224232405, 'val': 1}
  • id: 4166817
    {'lmfdb_iso': '80850.bv', 'p': 41, 'prec': 20, 'unit': 2133950650522878355896884490404, 'val': 1}
  • id: 4166818
    {'lmfdb_iso': '80850.bv', 'p': 43, 'prec': 20, 'unit': 4517143910828370464099993680945, 'val': 1}
  • id: 4166829
    {'lmfdb_iso': '80850.bv', 'p': 47, 'prec': 20, 'unit': 58571799025020433029802314976948, 'val': 1}
  • id: 4166824
    {'lmfdb_iso': '80850.bv', 'p': 53, 'prec': 20, 'unit': 202039493941845716196343755949456, 'val': 1}
  • id: 4166825
    {'lmfdb_iso': '80850.bv', 'p': 59, 'prec': 20, 'unit': 1793994568876102526109435679149348, 'val': 1}
  • id: 4166830
    {'lmfdb_iso': '80850.bv', 'p': 61, 'prec': 20, 'unit': 4045600074371112317218871386872471, 'val': 1}
  • id: 4166814
    {'lmfdb_iso': '80850.bv', 'p': 67, 'prec': 20, 'unit': 43382801535966367616856585199113847, 'val': 1}
  • id: 4166816
    {'lmfdb_iso': '80850.bv', 'p': 71, 'prec': 20, 'unit': 78260122369937292301246038966104150, 'val': 1}
  • id: 4166826
    {'lmfdb_iso': '80850.bv', 'p': 73, 'prec': 20, 'unit': 43081239778973912443348494627502765, 'val': 1}
  • id: 4166821
    {'lmfdb_iso': '80850.bv', 'p': 79, 'prec': 20, 'unit': 843259488843899995810369059959297338, 'val': 1}
  • id: 4166828
    {'lmfdb_iso': '80850.bv', 'p': 89, 'prec': 20, 'unit': 8051854797370471497390963571045225930, 'val': 1}
  • id: 4166813
    {'lmfdb_iso': '80850.bv', 'p': 97, 'prec': 20, 'unit': 45981801749187980036969314812657455044, '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: 532899
    {'Ciso': '80850ch', 'Clabel': '80850ch4', 'Cnumber': 4, 'abc_quality': 0.9985032019441563, 'absD': 305205293157187500000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, 0, 1, -118618001, -497258281852], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80850, 'degree': 11796480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1933717608453271950670103211', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [100407751863770656369, 166028940000], 'lmfdb_iso': '80850.bv', 'lmfdb_label': '80850.bv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -96831, 11589561], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '56.12.0.s.1', '88.12.0.?', '280.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4061928291968218279168232490', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 26950], [5, 18, 1617], [7, 32, 1650], [11, 12, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4156977301006203552139542828', 'prec': 100}, 'szpiro_ratio': 5.963342223787986, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 532897
    {'Ciso': '80850ch', 'Clabel': '80850ch2', 'Cnumber': 2, 'abc_quality': 0.9638824640563056, 'absD': 1830626393072400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, 0, 1, -7486001, -7610689852], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80850, 'degree': 5898240, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8467981705653545403583942603', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2], 'jinv': [25238585142450289, 995844326400], 'lmfdb_iso': '80850.bv', 'lmfdb_label': '80850.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6111, 176985], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '56.12.0.b.1', '88.12.0.?', '280.24.0.?', '308.12.0.?', '440.24.0.?', '616.24.0.?', '1540.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7030964145984109139584116245', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 26950], [5, 18, 1617], [7, 32, 1650], [11, 12, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0691241398206477005053382220', 'prec': 100}, 'szpiro_ratio': 5.229858740652357, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 532896
    {'Ciso': '80850ch', 'Clabel': '80850ch1', 'Cnumber': 1, 'abc_quality': 0.9420407493168124, 'absD': 60110996520960000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, 0, 1, -1214001, 354750148], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80850, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5002245802853818856497781996', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [107639597521009, 32699842560], 'lmfdb_iso': '80850.bv', 'lmfdb_label': '80850.bv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -991, -8359], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '56.12.0.y.1', '88.12.0.?', '280.24.0.?', '308.12.0.?', '440.24.0.?', '616.24.0.?', '770.6.0.?', '1540.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4061928291968218279168232490', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13475], [3, 4, 26950], [5, 18, 1617], [7, 32, 1650], [11, 12, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72255054954067504579672216127', 'prec': 103}, 'szpiro_ratio': 4.74692323383631, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 532898
    {'Ciso': '80850ch', 'Clabel': '80850ch3', 'Cnumber': 3, 'abc_quality': 1.01601149060968, 'absD': 334389913910484547500000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, 0, 1, 3293999, -27726169852], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 80850, 'degree': 11796480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1933717608453271950670103211', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [2150235484224911, 181905111732960], 'lmfdb_iso': '80850.bv', 'lmfdb_label': '80850.bv4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 2689, 646905], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '56.12.0.y.1', '88.12.0.?', '280.24.0.?', '308.12.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4061928291968218279168232490', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13475], [3, 4, 26950], [5, 18, 1617], [7, 32, 1650], [11, 12, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4156977301006203552139542828', 'prec': 100}, 'szpiro_ratio': 5.452436937808095, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}