Elliptic curve data - 6080.f1

Formats: - HTML - YAML - JSON - 2023-01-27T17:57:57.682887

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6080j', 'Clabel': '6080j1', 'Cnumber': 1, 'absD': 417027200000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 1, 0, -3685, 79083], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6080, 'degree': 7680, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97494703747940096805237210437', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [5405726654464, 407253125], 'lmfdb_iso': '6080.f', 'lmfdb_label': '6080.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -921, 10346], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '4.6.0.3', '10.6.0.1', '20.24.0.44', '152.12.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.33038230476966821431253587419', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39732438701277987687134533649', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -2, 0, 1, 0, 2, 0, 1, 0, 0, 0, -6, 0, -2, 0, 2, 0, 1, 0], 'aplist': [0, -2, 1, 2, 0, -6, 2, 1, -2, 2, 4, 10, -10, -6, -6, -6, 4, -2, 2, 12, -6, 8, 2, 2, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 6080, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6080.f', 'trace_hash': 1152963449240523355}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.14228914277160164857052401029', 'prec': 103}, 'conductor': 6080, 'gens': [[46, 95, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.33038230476966821431253587419', 'prec': 103}], 'lmfdb_label': '6080.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.92445828404701133581893557379', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0542465854686420613087194653119161018', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[27, 0, 1]], 'xcoord_integral_points': [-49, 11, 27, 46, 35158]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6080.f1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 317089
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '6080.f1', 'torsion': [2, 2]}
  • id: 317090
    {'degree': 4, 'field': [5, 0, -4, 0, 1], 'lmfdb_label': '6080.f1', 'torsion': [4]}
  • id: 317093
    {'degree': 8, 'field': [-27648, 0, -8352, 0, -576, 0, 0, 0, 1], 'lmfdb_label': '6080.f1', 'torsion': [6]}
  • id: 317092
    {'degree': 8, 'field': [1, 0, -4, 0, -14, 0, -4, 0, 1], 'lmfdb_label': '6080.f1', 'torsion': [2, 4]}
  • id: 317091
    {'degree': 8, 'field': [1, 0, 0, 0, 3, 0, 0, 0, 1], 'lmfdb_label': '6080.f1', 'torsion': [2, 4]}
  • id: 317094
    {'degree': 16, 'field': [1, 0, 0, 0, -4, 0, 0, 0, 6, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '6080.f1', 'torsion': [4, 4]}
  • id: 317095
    {'degree': 16, 'field': [390625, 0, 125000, 0, 143750, 0, 24000, 0, 17675, 0, -960, 0, 230, 0, -8, 0, 1], 'lmfdb_label': '6080.f1', 'torsion': [8]}
  • id: 317096
    {'degree': 16, 'field': [14379264, 0, -4211712, 0, -431360, 0, 385536, 0, -53280, 0, 704, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '6080.f1', 'torsion': [2, 6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 121009
    {'conductor': 6080, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6080.f1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 121010
    {'conductor': 6080, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '6080.f1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 121011
    {'conductor': 6080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6080.f1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1703826
    {'adelic_gens': [[577, 6, 754, 755], [1, 0, 8, 1], [753, 8, 752, 9], [1, 8, 0, 1], [379, 752, 0, 759], [1, 4, 4, 17], [3, 8, 28, 75], [616, 3, 5, 2], [5, 8, 48, 77], [401, 8, 84, 33]], 'adelic_image': '760.48.0.?', 'conductor': 6080, 'lmfdb_label': '6080.f1', 'prime': 0}
  • id: 29921
    {'conductor': 6080, 'elladic_image': '4.6.0.3', 'lmfdb_label': '6080.f1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 236086
    {'lmfdb_iso': '6080.f', 'p': 7, 'prec': 20, 'unit': 2212523157436807, 'val': 1}
  • id: 236090
    {'lmfdb_iso': '6080.f', 'p': 13, 'prec': 20, 'unit': 176165230106738225029, 'val': 1}
  • id: 236092
    {'lmfdb_iso': '6080.f', 'p': 17, 'prec': 20, 'unit': 5115891419434674816683, 'val': 1}
  • id: 236097
    {'lmfdb_iso': '6080.f', 'p': 23, 'prec': 20, 'unit': 65770245026022891462409455, 'val': 1}
  • id: 236089
    {'lmfdb_iso': '6080.f', 'p': 29, 'prec': 20, 'unit': 1030195496831950068694480589, 'val': 1}
  • id: 236102
    {'lmfdb_iso': '6080.f', 'p': 31, 'prec': 20, 'unit': 20206226692910424381691865141, 'val': 1}
  • id: 236085
    {'lmfdb_iso': '6080.f', 'p': 37, 'prec': 20, 'unit': 539114798094597477101050370520, 'val': 1}
  • id: 236087
    {'lmfdb_iso': '6080.f', 'p': 41, 'prec': 20, 'unit': 4032677045172553148442471531312, 'val': 1}
  • id: 236088
    {'lmfdb_iso': '6080.f', 'p': 43, 'prec': 20, 'unit': 7580117350036300263774083258738, 'val': 1}
  • id: 236100
    {'lmfdb_iso': '6080.f', 'p': 47, 'prec': 20, 'unit': 37880316476488197901387832203775, 'val': 1}
  • id: 236094
    {'lmfdb_iso': '6080.f', 'p': 53, 'prec': 20, 'unit': 270381761973079789821294391869593, 'val': 1}
  • id: 236095
    {'lmfdb_iso': '6080.f', 'p': 59, 'prec': 20, 'unit': 4009600097527553988007110365056987, 'val': 1}
  • id: 236101
    {'lmfdb_iso': '6080.f', 'p': 61, 'prec': 20, 'unit': 4586631697180209473264487668946215, 'val': 1}
  • id: 236084
    {'lmfdb_iso': '6080.f', 'p': 67, 'prec': 20, 'unit': 24158716635998423334174388817086379, 'val': 1}
  • id: 236099
    {'lmfdb_iso': '6080.f', 'p': 71, 'prec': 20, 'unit': 49152464562534715839576260967772471, 'val': 1}
  • id: 236096
    {'lmfdb_iso': '6080.f', 'p': 73, 'prec': 20, 'unit': 44474949043281133172164578721950765, 'val': 1}
  • id: 236091
    {'lmfdb_iso': '6080.f', 'p': 79, 'prec': 20, 'unit': 483206498756558279599090684287009330, 'val': 1}
  • id: 236093
    {'lmfdb_iso': '6080.f', 'p': 83, 'prec': 20, 'unit': 1026149554568373296265111435882060574, 'val': 1}
  • id: 236098
    {'lmfdb_iso': '6080.f', 'p': 89, 'prec': 20, 'unit': 3328794049605717516721194047023626197, 'val': 1}
  • id: 236083
    {'lmfdb_iso': '6080.f', 'p': 97, 'prec': 20, 'unit': 31878450285519703749101445226407987518, 'val': 1}