Elliptic curve data - 129285.i1

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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': '129285c', 'Clabel': '129285c1', 'Cnumber': 1, 'abc_quality': 0.9809130735897728, 'absD': 137002785082189384921875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6630, 'ainvs': [0, 0, 1, -10978578, -22653288421], 'analytic_rank': 1, 'bad_primes': [3, 5, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 129285, 'degree': 10725120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1359874780106719113316254531', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [-1540318675894272, 1442042265625], 'lmfdb_iso': '129285.i', 'lmfdb_label': '129285.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -7218, 381889], 'min_quad_twist_disc': -39, 'modell_images': [], 'modm_images': ['6630.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.922070910622054684328983899', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0295535827788212747584478046', 'prec': 100}, 'szpiro_ratio': 5.200633793708784, '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, 0, 0, -2, -1, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 4, -1, 0, 4, 2], 'aplist': [0, 0, -1, -4, -2, 0, -1, 4, -4, -1, 3, 6, -12, -8, 6, -11, 7, 0, 9, 6, 6, -12, 0, 5, 0], 'class_deg': 1, 'class_size': 1, 'conductor': 129285, 'isogeny_matrix': [[1]], 'lmfdb_iso': '129285.i', 'trace_hash': 66085154561599485}
• 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': '0.0018884952028202987007636698029', 'prec': 110}, 'conductor': 129285, 'gens': [[3228425187, 161536056075167, 641]], 'heights': [{'__RealLiteral__': 0, 'data': '17.922070910622054684328983899', 'prec': 100}], 'lmfdb_label': '129285.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.039934011003319596650127097715', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8628007077882207806593457882080531302', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 13, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 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': '129285.i1'}
• ec_torsion_growth •

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

  
  
  • id: 5874728
    {'degree': 3, 'field': [51, -21, -1, 1], 'lmfdb_label': '129285.i1', 'torsion': [2]}
  • id: 5874729
    {'degree': 6, 'field': [13260, 0, 4096, 0, -128, 0, 1], 'lmfdb_label': '129285.i1', 'torsion': [2, 2]}
  • id: 5874730
    {'degree': 8, 'field': [-32448, 0, -8489, 0, -624, 0, 0, 0, 1], 'lmfdb_label': '129285.i1', 'torsion': [3]}
  • id: 5874731
    {'degree': 12, 'field': [-1764482871, 1202084490, -289185654, -449836104, -94955801, 3556388, -502088, -263056, 28441, -418, -14, -4, 1], 'lmfdb_label': '129285.i1', '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: 3186391
    {'conductor': 129285, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '129285.i1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3186392
    {'conductor': 129285, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '129285.i1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3186393
    {'conductor': 129285, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '129285.i1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3186394
    {'conductor': 129285, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '129285.i1', 'prime': 17, '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

  
  {'adelic_gens': [[5851, 2, 5851, 3], [1327, 2, 1327, 3], [4591, 2, 4591, 3], [1, 1, 6629, 0], [1, 2, 0, 1], [1, 0, 2, 1], [6629, 2, 6628, 3], [4421, 2, 4421, 3]], 'adelic_image': '6630.2.0.?', 'conductor': 129285, 'lmfdb_label': '129285.i1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6778846
    {'lmfdb_iso': '129285.i', 'p': 7, 'prec': 20, 'unit': 1870439134851561, 'val': 1}
  • id: 6778850
    {'lmfdb_iso': '129285.i', 'p': 11, 'prec': 20, 'unit': 38809362995989334500, 'val': 1}
  • id: 6778852
    {'lmfdb_iso': '129285.i', 'p': 19, 'prec': 20, 'unit': 877309224935244380600653, 'val': 1}
  • id: 6778855
    {'lmfdb_iso': '129285.i', 'p': 23, 'prec': 20, 'unit': 36649860812563686191188729, 'val': 1}
  • id: 6778859
    {'lmfdb_iso': '129285.i', 'p': 29, 'prec': 20, 'unit': 3412771654637370897395944650, 'val': 1}
  • id: 6778860
    {'lmfdb_iso': '129285.i', 'p': 31, 'prec': 20, 'unit': 20602360373850616165043995291, 'val': 1}
  • id: 6778845
    {'lmfdb_iso': '129285.i', 'p': 37, 'prec': 20, 'unit': 223642247298372533767614755270, 'val': 1}
  • id: 6778847
    {'lmfdb_iso': '129285.i', 'p': 41, 'prec': 20, 'unit': 3180453876296759715931828410052, 'val': 1}
  • id: 6778848
    {'lmfdb_iso': '129285.i', 'p': 43, 'prec': 20, 'unit': 9582303823852489643906480526497, 'val': 1}
  • id: 6778858
    {'lmfdb_iso': '129285.i', 'p': 47, 'prec': 20, 'unit': 38270071091429838762395251679225, 'val': 1}
  • id: 6778853
    {'lmfdb_iso': '129285.i', 'p': 53, 'prec': 20, 'unit': 188921107207097452725452222892004, 'val': 1}
  • id: 6778851
    {'lmfdb_iso': '129285.i', 'p': 59, 'prec': 20, 'unit': 1453065675171730508990185917529471, 'val': 1}
  • id: 6778844
    {'lmfdb_iso': '129285.i', 'p': 67, 'prec': 20, 'unit': 27182216581682232405437806175937567, 'val': 1}
  • id: 6778857
    {'lmfdb_iso': '129285.i', 'p': 71, 'prec': 20, 'unit': 135410133517543237740451603310307534, 'val': 1}
  • id: 6778854
    {'lmfdb_iso': '129285.i', 'p': 73, 'prec': 20, 'unit': 135486219980916226640653231729048848, 'val': 1}
  • id: 6778849
    {'lmfdb_iso': '129285.i', 'p': 79, 'prec': 20, 'unit': 1079240318676640663656295549213044402, 'val': 1}
  • id: 6778856
    {'lmfdb_iso': '129285.i', 'p': 89, 'prec': 20, 'unit': 8612939998485008370806538304635026697, 'val': 1}