Elliptic curve data - 84100.e1

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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': '84100c', 'Clabel': '84100c1', 'Cnumber': 1, 'abc_quality': 0.714215699712365, 'absD': 68999505236000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1740, 'ainvs': [0, 1, 0, -91108, 16454788], 'analytic_rank': 0, 'bad_primes': [2, 5, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 84100, 'degree': 725760, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9290472481998955622997953718', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [-35152, 29], 'lmfdb_iso': '84100.e', 'lmfdb_label': '84100.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4, 4], 'min_quad_twist_disc': 145, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.4', '116.2.0.?', '348.8.0.?', '435.8.0.?', '1740.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 21025], [5, 14, 3364], [29, 450, 100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0214177433836885115370417253', 'prec': 103}, 'szpiro_ratio': 4.123462920889655, '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, 0, 0, 4, 0, -2, 0, -3, 0, -5, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 1, 0, 4, -3, -5, -6, 4, 6, 0, -5, 8, 0, -1, -3, -3, 6, -2, -8, 6, -16, -11, -6, 12, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 84100, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '84100.e', 'trace_hash': 2138117490952949039}
• 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': '0.021108182944650411397028220282', 'prec': 107}, 'conductor': 84100, 'gens': [], 'heights': [], 'lmfdb_label': '84100.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31802074119210995011372749201', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9081244471526597006823649520794426632', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': 'a', '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '84100.e1'}
• ec_torsion_growth •

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

  
  
  • id: 3944330
    {'degree': 2, 'field': [-36, -1, 1], 'lmfdb_label': '84100.e1', 'torsion': [3]}
  • id: 3944331
    {'degree': 3, 'field': [-2, 0, -1, 1], 'lmfdb_label': '84100.e1', 'torsion': [2]}
  • id: 3944334
    {'degree': 6, 'field': [-64, -80, 2, 17, -9, -3, 1], 'lmfdb_label': '84100.e1', 'torsion': [6]}
  • id: 3944332
    {'degree': 6, 'field': [16, -8, 22, 10, -1, -2, 1], 'lmfdb_label': '84100.e1', 'torsion': [2, 2]}
  • id: 3944333
    {'degree': 6, 'field': [4239, 27, 10, -75, 40, -3, 1], 'lmfdb_label': '84100.e1', 'torsion': [3]}
  • id: 3944335
    {'degree': 12, 'field': [-13001, 17936, -885, -3912, -2069, 992, 1208, -616, -143, 100, -1, -4, 1], 'lmfdb_label': '84100.e1', 'torsion': [4]}
  • id: 3944337
    {'degree': 12, 'field': [16, 0, 4, 0, 24, 0, 117, 0, 79, 0, 15, 0, 1], 'lmfdb_label': '84100.e1', 'torsion': [2, 6]}
  • id: 3944336
    {'degree': 12, 'field': [221841, -141300, 109311, -87552, 43372, -16004, 10033, -1762, 188, 170, -17, -2, 1], 'lmfdb_label': '84100.e1', 'torsion': [3, 3]}
  • id: 3944338
    {'degree': 18, 'field': [-146419816, 176848824, -79730328, 108827188, 18498504, -75474300, -581706, 15993006, -4612650, -2879615, 1122636, 307287, -110643, -15663, 5214, 362, -117, -3, 1], 'lmfdb_label': '84100.e1', 'torsion': [9]}
  • id: 3944339
    {'degree': 18, 'field': [3583791, -13917825, 44125965, -71197146, 74424150, -54268512, 25805482, -5916994, -1388047, 1780699, -714247, 122826, 15336, -13998, 3464, -422, 35, -7, 1], 'lmfdb_label': '84100.e1', 'torsion': [6]}
• 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: 2048722
    {'conductor': 84100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '84100.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2048723
    {'conductor': 84100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '84100.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2048724
    {'conductor': 84100, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '84100.e1', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2217809
    {'adelic_gens': [[4, 3, 9, 7], [1735, 6, 1734, 7], [726, 325, 145, 291], [1043, 0, 0, 1739], [839, 690, 1125, 329], [1, 6, 0, 1], [871, 1050, 525, 1411], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1740.16.0.?', 'conductor': 84100, 'lmfdb_label': '84100.e1', 'prime': 0}
  • id: 343655
    {'conductor': 84100, 'elladic_image': '3.4.0.1', 'lmfdb_label': '84100.e1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 84100.e does not appear in ec_padic