Elliptic curve data - 107800.ch2

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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': '107800q', 'Clabel': '107800q1', 'Cnumber': 1, 'abc_quality': 0.7810415896622491, 'absD': 166012000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [0, -1, 0, -2508, 53012], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 107800, 'degree': 122880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89462756493781597399991873715', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [-1272112, 121], 'lmfdb_iso': '107800.ch', 'lmfdb_label': '107800.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, 384], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '44.6.0.d.1', '308.12.0.?'], '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': '2.5580626458226655570961410444', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85866704891635941252162052963', 'prec': 107}, 'szpiro_ratio': 3.041749940176367, '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, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 2, 0, 0, 1, 2, 2, -8, 0, -6, -2, 10, -10, 8, 6, 6, 6, 2, 12, -8, -2, -12, -8, 8, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 107800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '107800.ch', 'trace_hash': 1897853754502592328}
• 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': '0.16708457963826825825056501543', 'prec': 103}, 'conductor': 107800, 'gens': [[41, 132, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5580626458226655570961410444', 'prec': 100}], 'lmfdb_label': '107800.ch2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.99605801588726391125538375243', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.191915214053795860715860419701940907', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-58, 0, 1]], 'xcoord_integral_points': [-58, 41]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': 'a', '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '107800.ch2'}
• ec_torsion_growth •

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

  
  
  • id: 4975556
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '107800.ch2', 'torsion': [2, 2]}
  • id: 4975557
    {'degree': 4, 'field': [-19, -39, -18, -1, 1], 'lmfdb_label': '107800.ch2', 'torsion': [4]}
  • id: 4975560
    {'degree': 8, 'field': [-12771, -12474, -7920, -3402, -828, -168, -12, 0, 1], 'lmfdb_label': '107800.ch2', 'torsion': [6]}
  • id: 4975558
    {'degree': 8, 'field': [121, 0, 627, 0, -32, 0, -13, 0, 1], 'lmfdb_label': '107800.ch2', 'torsion': [2, 4]}
  • id: 4975559
    {'degree': 8, 'field': [1226, -1082, 1361, -576, 334, -58, 24, -4, 1], 'lmfdb_label': '107800.ch2', 'torsion': [2, 4]}
  • id: 4975561
    {'degree': 16, 'field': [-86000591, -92979816, 2887658, 75075512, 69390149, 30750636, 4849074, -1756944, -1018396, -148932, 20954, 10300, 909, -224, -30, -4, 1], 'lmfdb_label': '107800.ch2', 'torsion': [8]}
  • id: 4975562
    {'degree': 16, 'field': [27679786, 42570284, 93098690, 90265686, 60795602, 29742832, 13044220, 4332420, 1218547, 238902, 45430, -364, 434, -336, 20, -8, 1], 'lmfdb_label': '107800.ch2', '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: 2650031
    {'conductor': 107800, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '107800.ch2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2650032
    {'conductor': 107800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '107800.ch2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2650033
    {'conductor': 107800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '107800.ch2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2650034
    {'conductor': 107800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '107800.ch2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2371093
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [233, 78, 76, 231], [57, 4, 114, 9], [180, 1, 263, 0], [305, 4, 304, 5]], 'adelic_image': '308.12.0.?', 'conductor': 107800, 'lmfdb_label': '107800.ch2', 'prime': 0}
  • id: 429446
    {'conductor': 107800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '107800.ch2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5621984
    {'lmfdb_iso': '107800.ch', 'p': 13, 'prec': 20, 'unit': 884046809574826091171, 'val': 1}
  • id: 5621986
    {'lmfdb_iso': '107800.ch', 'p': 17, 'prec': 20, 'unit': 2686484504349411184330, 'val': 1}
  • id: 5621987
    {'lmfdb_iso': '107800.ch', 'p': 19, 'prec': 20, 'unit': 1652221956139191113692905, 'val': 1}
  • id: 5621983
    {'lmfdb_iso': '107800.ch', 'p': 29, 'prec': 20, 'unit': 977380608906857529471452129, 'val': 1}
  • id: 5621994
    {'lmfdb_iso': '107800.ch', 'p': 31, 'prec': 20, 'unit': 1184873642069950522769361899, 'val': 1}
  • id: 5621979
    {'lmfdb_iso': '107800.ch', 'p': 37, 'prec': 20, 'unit': 18675760748872245832749483162, 'val': 1}
  • id: 5621981
    {'lmfdb_iso': '107800.ch', 'p': 41, 'prec': 20, 'unit': 574047731589622678738960139067, 'val': 1}
  • id: 5621982
    {'lmfdb_iso': '107800.ch', 'p': 43, 'prec': 20, 'unit': 7022902589641803309803258143359, 'val': 1}
  • id: 5621992
    {'lmfdb_iso': '107800.ch', 'p': 47, 'prec': 20, 'unit': 39299286950614788649851011266583, 'val': 1}
  • id: 5621988
    {'lmfdb_iso': '107800.ch', 'p': 53, 'prec': 20, 'unit': 251207862729866487966442479091649, 'val': 1}
  • id: 5621989
    {'lmfdb_iso': '107800.ch', 'p': 59, 'prec': 20, 'unit': 4392155402591763275198308747452411, 'val': 1}
  • id: 5621993
    {'lmfdb_iso': '107800.ch', 'p': 61, 'prec': 20, 'unit': 1401156667693577693669568310854451, 'val': 1}
  • id: 5621978
    {'lmfdb_iso': '107800.ch', 'p': 67, 'prec': 20, 'unit': 17713224927626461093128136390587211, 'val': 1}
  • id: 5621980
    {'lmfdb_iso': '107800.ch', 'p': 71, 'prec': 20, 'unit': 125628898795804436314597610543542463, 'val': 1}
  • id: 5621990
    {'lmfdb_iso': '107800.ch', 'p': 73, 'prec': 20, 'unit': 249093688460057474911760521876485015, 'val': 1}
  • id: 5621985
    {'lmfdb_iso': '107800.ch', 'p': 79, 'prec': 20, 'unit': 923941857456643948339217025137776851, 'val': 1}
  • id: 5621977
    {'lmfdb_iso': '107800.ch', 'p': 83, 'prec': 20, 'unit': 1758728080306598017447917249866373060, 'val': 1}
  • id: 5621991
    {'lmfdb_iso': '107800.ch', 'p': 89, 'prec': 20, 'unit': 7963447727534604674769156628502908599, 'val': 1}
  • id: 5621976
    {'lmfdb_iso': '107800.ch', 'p': 97, 'prec': 20, 'unit': 19374216796115126682917148382405468739, 'val': 1}