Elliptic curve data - 129360.g1

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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': '129360b', 'Clabel': '129360b1', 'Cnumber': 1, 'abc_quality': 0.7896008219897498, 'absD': 3698235137520, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 110, 'ainvs': [0, -1, 0, -4916, 163395], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 129360, 'degree': 225792, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1269896348375374170529130076', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-142476544, 40095], 'lmfdb_iso': '129360.g', 'lmfdb_label': '129360.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -100, 505], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['110.2.0.?'], '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': '0.73308175447533674704245559163', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40133285805265322282306619518', 'prec': 107}, 'szpiro_ratio': 3.1868910467734577, '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, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, -3, 0, 1, 0, -2, 0, -8, 0], 'aplist': [0, -1, -1, 0, -1, -3, -2, -8, -6, 6, -3, -4, 2, -5, 2, 4, -13, 8, -8, 9, -1, 6, 9, -1, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 129360, 'isogeny_matrix': [[1]], 'lmfdb_iso': '129360.g', 'trace_hash': 1718148419430829164}
• 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': '0.10498064599462329099542751120', 'prec': 103}, 'conductor': 129360, 'gens': [[131, 1323, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73308175447533674704245559163', 'prec': 103}], 'lmfdb_label': '129360.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.74726358554535883516667586841', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2868318020827352602787774114963459012', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [131]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '129360.g1'}
• ec_torsion_growth •

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

  
  
  • id: 5877028
    {'degree': 3, 'field': [-7, 7, 0, 1], 'lmfdb_label': '129360.g1', 'torsion': [2]}
  • id: 5877029
    {'degree': 6, 'field': [1, -3, 13, -21, 13, -3, 1], 'lmfdb_label': '129360.g1', 'torsion': [2, 2]}
  • id: 5877030
    {'degree': 8, 'field': [-108, 0, 3844, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '129360.g1', 'torsion': [3]}
  • id: 5877031
    {'degree': 12, 'field': [-397375, 0, -284362, 0, -60833, 0, -2796, 0, -97, 0, -74, 0, 1], 'lmfdb_label': '129360.g1', '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: 3187750
    {'conductor': 129360, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '129360.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3187751
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '129360.g1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3187752
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '129360.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3187753
    {'conductor': 129360, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '129360.g1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 3187754
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '129360.g1', '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

  
  {'adelic_gens': [[1, 1, 109, 0], [109, 2, 108, 3], [1, 2, 0, 1], [67, 2, 67, 3], [1, 0, 2, 1], [101, 2, 101, 3]], 'adelic_image': '110.2.0.?', 'conductor': 129360, 'lmfdb_label': '129360.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6782609
    {'lmfdb_iso': '129360.g', 'p': 13, 'prec': 20, 'unit': 847861555363711223573, 'val': 1}
  • id: 6782611
    {'lmfdb_iso': '129360.g', 'p': 17, 'prec': 20, 'unit': 6912093451663220563449, 'val': 1}
  • id: 6782612
    {'lmfdb_iso': '129360.g', 'p': 19, 'prec': 20, 'unit': 844664042755941812682820, 'val': 1}
  • id: 6782616
    {'lmfdb_iso': '129360.g', 'p': 23, 'prec': 20, 'unit': 2608263536572227958923489, 'val': 1}
  • id: 6782608
    {'lmfdb_iso': '129360.g', 'p': 29, 'prec': 20, 'unit': 2451700808342769859850958056, 'val': 1}
  • id: 6782620
    {'lmfdb_iso': '129360.g', 'p': 31, 'prec': 20, 'unit': 14226881039796112018725140368, 'val': 1}
  • id: 6782604
    {'lmfdb_iso': '129360.g', 'p': 37, 'prec': 20, 'unit': 7946375880681348001199573721, 'val': 2}
  • id: 6782606
    {'lmfdb_iso': '129360.g', 'p': 41, 'prec': 20, 'unit': 1268546449747774019250609817374, 'val': 1}
  • id: 6782607
    {'lmfdb_iso': '129360.g', 'p': 43, 'prec': 20, 'unit': 2517215063961582989476044709280, 'val': 1}
  • id: 6782618
    {'lmfdb_iso': '129360.g', 'p': 47, 'prec': 20, 'unit': 21898390243687527201864117513070, 'val': 1}
  • id: 6782613
    {'lmfdb_iso': '129360.g', 'p': 53, 'prec': 20, 'unit': 389326572045921510647674545754439, 'val': 1}
  • id: 6782614
    {'lmfdb_iso': '129360.g', 'p': 59, 'prec': 20, 'unit': 3325384264694788632334429273809228, 'val': 1}
  • id: 6782619
    {'lmfdb_iso': '129360.g', 'p': 61, 'prec': 20, 'unit': 523604573590601737561209317545308, 'val': 1}
  • id: 6782603
    {'lmfdb_iso': '129360.g', 'p': 67, 'prec': 20, 'unit': 22477569563000082366659934113186088, 'val': 1}
  • id: 6782605
    {'lmfdb_iso': '129360.g', 'p': 71, 'prec': 20, 'unit': 4877176482569256314720952500532808, 'val': 1}
  • id: 6782615
    {'lmfdb_iso': '129360.g', 'p': 73, 'prec': 20, 'unit': 13057751351753474913516338883150713, 'val': 1}
  • id: 6782610
    {'lmfdb_iso': '129360.g', 'p': 79, 'prec': 20, 'unit': 207879957657318363384630117357008386, 'val': 1}
  • id: 6782602
    {'lmfdb_iso': '129360.g', 'p': 83, 'prec': 20, 'unit': 1229356631733050049703993842992384498, 'val': 1}
  • id: 6782617
    {'lmfdb_iso': '129360.g', 'p': 89, 'prec': 20, 'unit': 601725095732148302499663410874243207, 'val': 1}
  • id: 6782601
    {'lmfdb_iso': '129360.g', 'p': 97, 'prec': 20, 'unit': 465205515244844353643911416398424918, 'val': 1}