Elliptic curve data - 103488.cv1

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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
  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[]

  
  {'Ciso': '103488bp', 'Clabel': '103488bp1', 'Cnumber': 1, 'abc_quality': 0.9631437603910471, 'absD': 143121420288, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, -19273, -1023287], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 103488, 'degree': 138240, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1442141366218602497354343105', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2], 'jinv': [1643032000, 297], 'lmfdb_iso': '103488.cv', 'lmfdb_label': '103488.cv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -98, 408], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], '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': '7.8690843063211648364831802233', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1617], [3, 4, 34496], [7, 26, 2112], [11, 12, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52188811846574171223447418268', 'prec': 107}, 'szpiro_ratio': 3.5690900960495253, '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, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 4, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, -1, 0, 0, 1, 4, 2, 0, -2, 2, 4, -6, 6, 12, 6, 0, 0, 0, -4, -10, -2, 2, -4, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 103488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '103488.cv', 'trace_hash': 843808060826309551}
• 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': '0.10142575020758548419950669852', 'prec': 103}, 'conductor': 103488, 'gens': [[7317, 625736, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.8690843063211648364831802233', 'prec': 100}], 'lmfdb_label': '103488.cv1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40519591405177177409836814250', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3770416165005136370626721599231844606', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-79, 0, 1]], 'xcoord_integral_points': [-79, 7317]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 1, 0], '7': 'a', '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 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': '103488.cv1'}
• ec_torsion_growth •

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

  
  
  • id: 4791016
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '103488.cv1', 'torsion': [2, 2]}
  • id: 4791017
    {'degree': 4, 'field': [102, -4, 5, -2, 1], 'lmfdb_label': '103488.cv1', 'torsion': [4]}
  • id: 4791020
    {'degree': 8, 'field': [-180075, 0, 5488, 0, -1470, 0, 0, 0, 1], 'lmfdb_label': '103488.cv1', 'torsion': [6]}
  • id: 4791019
    {'degree': 8, 'field': [2304, -2688, 1648, -320, -82, 52, 5, -2, 1], 'lmfdb_label': '103488.cv1', 'torsion': [2, 4]}
  • id: 4791018
    {'degree': 8, 'field': [1038361, 0, -129152, 0, 4182, 0, -80, 0, 1], 'lmfdb_label': '103488.cv1', 'torsion': [2, 4]}
  • id: 4791021
    {'degree': 16, 'field': [21583881, -9784368, -9840864, -728112, 8689012, 352192, -204384, -54496, 164746, -12240, -3104, 240, 252, -32, -32, 0, 1], 'lmfdb_label': '103488.cv1', 'torsion': [8]}
  • id: 4791022
    {'degree': 16, 'field': [48195162009, -62675620776, 54121392072, -20741974464, 1662476932, 376218168, 46475736, 6289408, -10161426, 517704, -2824, 31680, -1356, -472, -24, 0, 1], 'lmfdb_label': '103488.cv1', '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: 2541200
    {'conductor': 103488, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '103488.cv1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2541201
    {'conductor': 103488, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '103488.cv1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2541202
    {'conductor': 103488, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '103488.cv1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2541203
    {'conductor': 103488, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '103488.cv1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2343378
    {'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [26, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 103488, 'lmfdb_label': '103488.cv1', 'prime': 0}
  • id: 414163
    {'conductor': 103488, 'elladic_image': '8.6.0.4', 'lmfdb_label': '103488.cv1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5387021
    {'lmfdb_iso': '103488.cv', 'p': 13, 'prec': 20, 'unit': 806098712632131413203, 'val': 1}
  • id: 5387023
    {'lmfdb_iso': '103488.cv', 'p': 17, 'prec': 20, 'unit': 136529231422349329098247, 'val': 1}
  • id: 5387026
    {'lmfdb_iso': '103488.cv', 'p': 23, 'prec': 20, 'unit': 19272077104040831321766549, 'val': 1}
  • id: 5387029
    {'lmfdb_iso': '103488.cv', 'p': 29, 'prec': 20, 'unit': 4770300347564369347373856479, 'val': 1}
  • id: 5387030
    {'lmfdb_iso': '103488.cv', 'p': 31, 'prec': 20, 'unit': 7925154880579192347193483814, 'val': 1}
  • id: 5387017
    {'lmfdb_iso': '103488.cv', 'p': 37, 'prec': 20, 'unit': 526545585236526754843566142426, 'val': 1}
  • id: 5387019
    {'lmfdb_iso': '103488.cv', 'p': 41, 'prec': 20, 'unit': 3193067732378575055286891442379, 'val': 1}
  • id: 5387020
    {'lmfdb_iso': '103488.cv', 'p': 43, 'prec': 20, 'unit': 2271504234174920525021381048706, 'val': 1}
  • id: 5387022
    {'lmfdb_iso': '103488.cv', 'p': 47, 'prec': 20, 'unit': 40362127984957548126533655097582, 'val': 1}
  • id: 5387016
    {'lmfdb_iso': '103488.cv', 'p': 67, 'prec': 20, 'unit': 14840140999084646212446075480406421, 'val': 1}
  • id: 5387018
    {'lmfdb_iso': '103488.cv', 'p': 71, 'prec': 20, 'unit': 95755331792845570144635469279725895, 'val': 1}
  • id: 5387025
    {'lmfdb_iso': '103488.cv', 'p': 73, 'prec': 20, 'unit': 123537186986999097992611102676522710, 'val': 1}
  • id: 5387028
    {'lmfdb_iso': '103488.cv', 'p': 79, 'prec': 20, 'unit': 118189208003492999644506866393543769, 'val': 1}
  • id: 5387024
    {'lmfdb_iso': '103488.cv', 'p': 83, 'prec': 20, 'unit': 1746175870773922177217810098119706387, 'val': 1}
  • id: 5387027
    {'lmfdb_iso': '103488.cv', 'p': 89, 'prec': 20, 'unit': 7640434998205760796062250821265866893, 'val': 1}
  • id: 5387015
    {'lmfdb_iso': '103488.cv', 'p': 97, 'prec': 20, 'unit': 4381007083231297289773907686545159478, 'val': 1}