Elliptic curve data - 10080.p1

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• 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[]

  
  {'Ciso': '10080v', 'Clabel': '10080v1', 'Cnumber': 1, 'abc_quality': 1.1004783840628927, 'absD': 1200225600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 0, 0, -12333, 527168], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10080, 'degree': 15360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93249514447865139409139051609', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [4446542056384, 25725], 'lmfdb_iso': '10080.p', 'lmfdb_label': '10080.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1370, -19068], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '42.6.0.a.1', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.50175318090239437315250989262', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.036615409864623893685151836900', 'prec': 107}, 'szpiro_ratio': 4.325490352093505, '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, 0, 0, -1, 0, 1, 0, 0, 0, -6, 0, 4, 0, 0, 0, -6, 0, 6, 0], 'aplist': [0, 0, -1, 1, -6, 4, -6, 6, 4, 2, -2, 6, -6, -12, 0, 4, 4, -10, -12, -2, 16, 4, 12, 6, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 10080, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10080.p', 'trace_hash': 1086298125485367296}
• 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': '0.15489771409591859260222432813', 'prec': 103}, 'conductor': 10080, 'gens': [[59, 70, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.50175318090239437315250989262', 'prec': 103}], 'lmfdb_label': '10080.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3676421513176260292042370433', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1173127985588757922353081684435278292', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[64, 0, 1]], 'xcoord_integral_points': [-116, 59, 64, 73]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '10080.p1'}
• ec_torsion_growth •

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

  
  
  • id: 523267
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '10080.p1', 'torsion': [2, 2]}
  • id: 523268
    {'degree': 4, 'field': [1, -2, 8, -2, 1], 'lmfdb_label': '10080.p1', 'torsion': [4]}
  • id: 523271
    {'degree': 8, 'field': [-243, 0, -264, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '10080.p1', 'torsion': [6]}
  • id: 523269
    {'degree': 8, 'field': [81, -270, 1098, -546, 199, -14, -4, -4, 1], 'lmfdb_label': '10080.p1', 'torsion': [2, 4]}
  • id: 523270
    {'degree': 8, 'field': [3969, 0, 0, 0, 231, 0, -42, 0, 1], 'lmfdb_label': '10080.p1', 'torsion': [2, 4]}
  • id: 523273
    {'degree': 16, 'field': [9, 0, -2280, 0, 23518, 0, -4560, 0, -1545, 0, 16720, 0, -138, 0, 0, 0, 1], 'lmfdb_label': '10080.p1', 'torsion': [2, 6]}
  • id: 523272
    {'degree': 16, 'field': [194481, 0, -407484, 0, 44100, 0, 178164, 0, 66234, 0, 8484, 0, 100, 0, -44, 0, 1], 'lmfdb_label': '10080.p1', 'torsion': [8]}
• 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: 213565
    {'conductor': 10080, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '10080.p1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 213566
    {'conductor': 10080, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '10080.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 213567
    {'conductor': 10080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10080.p1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 213568
    {'conductor': 10080, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10080.p1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1730747
    {'adelic_gens': [[142, 1, 139, 0], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [1, 0, 4, 1], [109, 316, 104, 315], [3, 4, 8, 11], [337, 4, 254, 9]], 'adelic_image': '420.12.0.?', 'conductor': 10080, 'lmfdb_label': '10080.p1', 'prime': 0}
  • id: 48778
    {'conductor': 10080, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10080.p1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 426421
    {'lmfdb_iso': '10080.p', 'p': 11, 'prec': 20, 'unit': 9456834023859710537, 'val': 1}
  • id: 426419
    {'lmfdb_iso': '10080.p', 'p': 13, 'prec': 20, 'unit': 66860952166897125755, 'val': 2}
  • id: 426422
    {'lmfdb_iso': '10080.p', 'p': 17, 'prec': 20, 'unit': 170534603333771289585485, 'val': 1}
  • id: 426423
    {'lmfdb_iso': '10080.p', 'p': 19, 'prec': 20, 'unit': 1346299944551341814667144, 'val': 1}
  • id: 426426
    {'lmfdb_iso': '10080.p', 'p': 23, 'prec': 20, 'unit': 49666899517750433085461130, 'val': 1}
  • id: 426418
    {'lmfdb_iso': '10080.p', 'p': 29, 'prec': 20, 'unit': 527193201790955919513499689, 'val': 1}
  • id: 426430
    {'lmfdb_iso': '10080.p', 'p': 31, 'prec': 20, 'unit': 1763657992936702763276898853, 'val': 1}
  • id: 426414
    {'lmfdb_iso': '10080.p', 'p': 37, 'prec': 20, 'unit': 12859955484103962102633181013, 'val': 1}
  • id: 426416
    {'lmfdb_iso': '10080.p', 'p': 41, 'prec': 20, 'unit': 458721131032250088509005472890, 'val': 1}
  • id: 426417
    {'lmfdb_iso': '10080.p', 'p': 43, 'prec': 20, 'unit': 3372234503447867355889401811587, 'val': 1}
  • id: 426424
    {'lmfdb_iso': '10080.p', 'p': 53, 'prec': 20, 'unit': 304330482439034271455322324208334, 'val': 1}
  • id: 426428
    {'lmfdb_iso': '10080.p', 'p': 59, 'prec': 20, 'unit': 97167099039868050982639630259743, 'val': 1}
  • id: 426429
    {'lmfdb_iso': '10080.p', 'p': 61, 'prec': 20, 'unit': 5834901089459359751891897621369401, 'val': 1}
  • id: 426413
    {'lmfdb_iso': '10080.p', 'p': 67, 'prec': 20, 'unit': 25719029015928621771014046684882645, 'val': 1}
  • id: 426415
    {'lmfdb_iso': '10080.p', 'p': 71, 'prec': 20, 'unit': 133077754800451902831910442936666413, 'val': 1}
  • id: 426425
    {'lmfdb_iso': '10080.p', 'p': 73, 'prec': 20, 'unit': 124672149250674380616635053528557888, 'val': 1}
  • id: 426420
    {'lmfdb_iso': '10080.p', 'p': 79, 'prec': 20, 'unit': 1100555440876840107308757936336868110, 'val': 1}
  • id: 426412
    {'lmfdb_iso': '10080.p', 'p': 83, 'prec': 20, 'unit': 1932036280927016803018261033440227741, 'val': 1}
  • id: 426427
    {'lmfdb_iso': '10080.p', 'p': 89, 'prec': 20, 'unit': 5624104955705525172119617676229888271, 'val': 1}
  • id: 426411
    {'lmfdb_iso': '10080.p', 'p': 97, 'prec': 20, 'unit': 27289535726864379296458366387603449479, 'val': 1}