Elliptic curve data - 130130.o1

Formats: - HTML - YAML - JSON - 2024-06-01T15:15:48.551030

• 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': '130130o', 'Clabel': '130130o1', 'Cnumber': 1, 'abc_quality': 0.8712427851818552, 'absD': 480898751614531250, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 3080, 'ainvs': [1, 1, 0, -408138, -105930482], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 130130, 'degree': 2149056, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1461749403420282568809375223', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [-9217213605769, 589531250], 'lmfdb_iso': '130130.o', 'lmfdb_label': '130130.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2415, -49145], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['3080.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6560751687837452980258127980', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43620870203433709951194589459', 'prec': 103}, 'szpiro_ratio': 4.286283942737662, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 1, 1, -1, -2, 1, 1, -1, 0, -1, 1, 1, 2, 2, -3, -1], 'aplist': [-1, -1, -1, 1, 1, 0, 2, -3, -8, -3, -5, 10, 3, 8, -8, 3, 4, -14, 2, 2, -14, 11, 12, 6, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 130130, 'isogeny_matrix': [[1]], 'lmfdb_iso': '130130.o', 'trace_hash': 1914669046642266713}
• 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': '0.013672758167392998075212691883', 'prec': 107}, 'conductor': 130130, 'gens': [[3957, 243494, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6560751687837452980258127980', 'prec': 100}], 'lmfdb_label': '130130.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.094094592046991264479338930435', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0961521134985712073608616030660316517', 'prec': 130}, 'tamagawa_product': 9, 'torsion_generators': [], 'xcoord_integral_points': [3957]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [3, 0], '5': [1, 0], '7': [2, 0], '11': [2, 0], '13': 'a', '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, 0]}, 'iwp0': 0, 'lmfdb_label': '130130.o1'}
• ec_torsion_growth •

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

  
  
  • id: 5916023
    {'degree': 3, 'field': [-560, -56, -1, 1], 'lmfdb_label': '130130.o1', 'torsion': [2]}
  • id: 5916024
    {'degree': 6, 'field': [197120, 0, -3904, 0, 482, 0, 1], 'lmfdb_label': '130130.o1', 'torsion': [2, 2]}
  • id: 5916025
    {'degree': 8, 'field': [98, -395, 392, 5, 1, -7, 7, -4, 1], 'lmfdb_label': '130130.o1', 'torsion': [3]}
  • id: 5916026
    {'degree': 12, 'field': [-49675028480, 0, 4529044832, 0, 193522020, 0, 2101840, 0, -24580, 0, 0, 0, 1], 'lmfdb_label': '130130.o1', 'torsion': [4]}
• 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: 3209376
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '130130.o1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3209377
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '130130.o1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3209378
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '130130.o1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3209379
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '130130.o1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3209380
    {'conductor': 130130, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '130130.o1', 'prime': 13, 'reduction_type': 0, '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

  
  {'adelic_gens': [[3079, 2, 3078, 3], [2201, 2, 2201, 3], [2521, 2, 2521, 3], [2311, 2, 2311, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 3079, 0], [617, 2, 617, 3], [1541, 2, 1541, 3]], 'adelic_image': '3080.2.0.?', 'conductor': 130130, 'lmfdb_label': '130130.o1', 'prime': 0}
• lmfdb_iso 130130.o does not appear in ec_padic