Elliptic curve data - 37026.c1

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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': '37026o', 'Clabel': '37026o1', 'Cnumber': 1, 'abc_quality': 1.0950349524458194, 'absD': 2999106, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 136, 'ainvs': [1, -1, 0, -6, -82], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 37026, 'degree': 7680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.077693815698499266161388260888', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-297, 34], 'lmfdb_iso': '37026.c', 'lmfdb_label': '37026.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 3], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['136.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1882586616861336747389527582', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0266491721656158692026681423', 'prec': 103}, 'szpiro_ratio': 2.126893069884737, '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, 0, 1, -3, 0, -1, -1, 0, 3, 0, 0, -4, 1, 0, 1, -1, 0, 7, -3], 'aplist': [-1, 0, -3, -1, 0, -4, -1, 7, 0, 2, 7, 5, -8, 1, -6, -14, -7, 3, 12, -8, 4, -13, 9, 6, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 37026, 'isogeny_matrix': [[1]], 'lmfdb_iso': '37026.c', 'trace_hash': 889681207159905391}
• 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': '1.1681106697281741156744026798', 'prec': 100}, 'conductor': 37026, 'gens': [[7, 10, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1882586616861336747389527582', 'prec': 100}], 'lmfdb_label': '37026.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1234174616005177438035201630', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6698210588725293647051630153790136723', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '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': '37026.c1'}
• ec_torsion_growth •

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

  
  
  • id: 1831261
    {'degree': 3, 'field': [46, 26, -1, 1], 'lmfdb_label': '37026.c1', 'torsion': [2]}
  • id: 1831262
    {'degree': 6, 'field': [2754, 0, -387, 0, 4, 0, 1], 'lmfdb_label': '37026.c1', 'torsion': [2, 2]}
  • id: 1831263
    {'degree': 8, 'field': [-3296, 9077, -9188, 221, -107, -7, 7, -4, 1], 'lmfdb_label': '37026.c1', 'torsion': [3]}
  • id: 1831264
    {'degree': 12, 'field': [-8737376, 809936, 2458454, -641706, -377715, 46888, 15980, -2822, 1631, -188, -24, -6, 1], 'lmfdb_label': '37026.c1', '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: 872847
    {'conductor': 37026, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37026.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 872848
    {'conductor': 37026, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '37026.c1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 872849
    {'conductor': 37026, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '37026.c1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 872850
    {'conductor': 37026, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37026.c1', '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': [[135, 2, 134, 3], [103, 2, 103, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 135, 0], [105, 2, 105, 3], [69, 2, 69, 3]], 'adelic_image': '136.2.0.?', 'conductor': 37026, 'lmfdb_label': '37026.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1823120
    {'lmfdb_iso': '37026.c', 'p': 5, 'prec': 20, 'unit': 2545338560573, 'val': 1}
  • id: 1823121
    {'lmfdb_iso': '37026.c', 'p': 7, 'prec': 20, 'unit': 3156278027370352, 'val': 1}
  • id: 1823126
    {'lmfdb_iso': '37026.c', 'p': 13, 'prec': 20, 'unit': 1310860444816948313608, 'val': 1}
  • id: 1823129
    {'lmfdb_iso': '37026.c', 'p': 19, 'prec': 20, 'unit': 91640079742646172429719, 'val': 1}
  • id: 1823125
    {'lmfdb_iso': '37026.c', 'p': 29, 'prec': 20, 'unit': 2847922613658663710356881570, 'val': 1}
  • id: 1823122
    {'lmfdb_iso': '37026.c', 'p': 31, 'prec': 20, 'unit': 1293840787869276589780334948, 'val': 1}
  • id: 1823136
    {'lmfdb_iso': '37026.c', 'p': 37, 'prec': 20, 'unit': 288807081313004256762603114826, 'val': 1}
  • id: 1823123
    {'lmfdb_iso': '37026.c', 'p': 41, 'prec': 20, 'unit': 3869890231390990054701464547917, 'val': 1}
  • id: 1823124
    {'lmfdb_iso': '37026.c', 'p': 43, 'prec': 20, 'unit': 37722850447007004522950646112621, 'val': -1}
  • id: 1823134
    {'lmfdb_iso': '37026.c', 'p': 47, 'prec': 20, 'unit': 39252388100556924070333882303701, 'val': 1}
  • id: 1823130
    {'lmfdb_iso': '37026.c', 'p': 53, 'prec': 20, 'unit': 266728640866839545412966215514976, 'val': 1}
  • id: 1823128
    {'lmfdb_iso': '37026.c', 'p': 59, 'prec': 20, 'unit': 1916616888893390941518726737027542, 'val': 1}
  • id: 1823135
    {'lmfdb_iso': '37026.c', 'p': 61, 'prec': 20, 'unit': 7160818773705199586133453298128688, 'val': 1}
  • id: 1823119
    {'lmfdb_iso': '37026.c', 'p': 67, 'prec': 20, 'unit': 4008007009738878564518916547771441, 'val': 1}
  • id: 1823133
    {'lmfdb_iso': '37026.c', 'p': 71, 'prec': 20, 'unit': 26681990974615465263412290391916814, 'val': 1}
  • id: 1823131
    {'lmfdb_iso': '37026.c', 'p': 73, 'prec': 20, 'unit': 224945782609245990384645160171031387, 'val': 1}
  • id: 1823127
    {'lmfdb_iso': '37026.c', 'p': 79, 'prec': 20, 'unit': 842777485323396123842144692338356600, 'val': 1}
  • id: 1823118
    {'lmfdb_iso': '37026.c', 'p': 83, 'prec': 20, 'unit': 955449208682815542070392111672563478, 'val': 1}
  • id: 1823132
    {'lmfdb_iso': '37026.c', 'p': 89, 'prec': 20, 'unit': 8809420703273098967987452515710574644, 'val': 1}
  • id: 1823117
    {'lmfdb_iso': '37026.c', 'p': 97, 'prec': 20, 'unit': 3817231399289420981327325335608798769, 'val': 1}