Elliptic curve data - 100368.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
  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': '100368bt', 'Clabel': '100368bt2', 'Cnumber': 2, 'abc_quality': 1.0364691817074154, 'absD': 605548443031981490018288664576, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 8364, 'ainvs': [0, 0, 0, -3743701059, -95785856035774], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 41], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 100368, 'degree': 153031680, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4537761039298401323098454479', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [-1943299427371886688757286977, 202796948353367429302464], 'lmfdb_iso': '100368.g', 'lmfdb_label': '100368.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25997924, -55433796144], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.1', '4182.8.0.?', '8364.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 6273], [3, 6, 656], [5, 2, 5904], [17, 18, 5904], [41, 42, 2448]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2113227790358399771949907080', 'prec': 100}, 'szpiro_ratio': 6.764967660686344, '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, 0, -3, 0, 1, 0, 0, 0, 6, 0, 2, 0, 0, 0, 1, 0, 4, 0], 'aplist': [0, 0, -3, 1, 6, 2, 1, 4, 0, 6, -2, 8, -1, 1, -3, -9, 6, -10, -2, -12, -16, -17, -18, 3, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 100368, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '100368.g', 'trace_hash': 291165203454109959}
• 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': '0.00013536276871514659307840529459', 'prec': 113}, 'conductor': 100368, 'gens': [], 'heights': [], 'lmfdb_label': '100368.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.0095937550056734701972234378294', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3025012013616328473336250790505360538', 'prec': 130}, 'tamagawa_product': 240, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '7': [6, 0], '11': [0, 0], '13': [0, 0], '17': [1, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '100368.g1'}
• ec_torsion_growth •

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

  
  
  • id: 4655451
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '100368.g1', 'torsion': [3]}
  • id: 4655452
    {'degree': 3, 'field': [-26, -1, -1, 1], 'lmfdb_label': '100368.g1', 'torsion': [2]}
  • id: 4655455
    {'degree': 6, 'field': [676, 0, -51, 0, 3, 0, 1], 'lmfdb_label': '100368.g1', 'torsion': [6]}
  • id: 4655454
    {'degree': 6, 'field': [1654, -738, 27, -82, -9, 0, 1], 'lmfdb_label': '100368.g1', 'torsion': [3]}
  • id: 4655453
    {'degree': 6, 'field': [2329, -1598, 650, -98, 14, -2, 1], 'lmfdb_label': '100368.g1', 'torsion': [2, 2]}
  • id: 4655456
    {'degree': 12, 'field': [-60530892, -18978212, -8371671, 6283326, 557969, 568712, -34630, 12252, 494, -724, 65, -2, 1], 'lmfdb_label': '100368.g1', 'torsion': [4]}
  • id: 4655457
    {'degree': 12, 'field': [2829124, -413772, 55470, -276586, 15135, 1722, 10079, 0, 6, -164, -3, 0, 1], 'lmfdb_label': '100368.g1', 'torsion': [3, 3]}
  • id: 4655458
    {'degree': 12, 'field': [5424241, 0, -474096, 0, 174504, 0, -6862, 0, 1104, 0, -24, 0, 1], 'lmfdb_label': '100368.g1', 'torsion': [2, 6]}
  • id: 4655460
    {'degree': 18, 'field': [4477591096, -2810648400, 466244184, -991079060, 255085068, -17322336, 23757373, -5990592, 58380, -1541846, 41232, -984, 24974, 984, 60, -246, -12, 0, 1], 'lmfdb_label': '100368.g1', 'torsion': [6]}
  • id: 4655459
    {'degree': 18, 'field': [21697439118601, 0, 13876430633568, 0, 2427720170280, 0, 159430743438, 0, 3143080008, 0, -47985252, 0, -969027, 0, 22500, 0, -192, 0, 1], 'lmfdb_label': '100368.g1', 'torsion': [9]}
• 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: 2462485
    {'conductor': 100368, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '100368.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2462486
    {'conductor': 100368, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '100368.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2462487
    {'conductor': 100368, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '100368.g1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 15}
  • id: 2462488
    {'conductor': 100368, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100368.g1', 'prime': 41, '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: 2323340
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [4187, 8358, 4188, 8357], [4181, 0, 0, 8363], [5201, 8358, 7239, 8345], [5165, 8358, 7131, 8345], [8359, 6, 8358, 7], [4876, 7665, 8363, 6272], [1, 6, 0, 1]], 'adelic_image': '8364.16.0.?', 'conductor': 100368, 'lmfdb_label': '100368.g1', 'prime': 0}
  • id: 402924
    {'conductor': 100368, 'elladic_image': '3.4.0.1', 'lmfdb_label': '100368.g1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 100368.g does not appear in ec_padic