Elliptic curve data - 101400.cr3

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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': '101400bb', 'Clabel': '101400bb2', 'Cnumber': 2, 'abc_quality': 0.9213148386803575, 'absD': 237867078243600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -1759008, 505069488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 101400, 'degree': 3096576, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6082767295972258951965488595', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 69, 'isogeny_degrees': [1, 2], 'jinv': [7793764996, 3080025], 'lmfdb_iso': '101400.cr', 'lmfdb_label': '101400.cr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -416, 1980], 'min_quad_twist_disc': 65, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0-2.a.1.2', '104.12.0.?', '120.24.0.?', '156.12.0.?', '312.24.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [3, 4, 33800], [5, 18, 4056], [13, 98, 600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.056539555817213751311601295777', 'prec': 110}, 'szpiro_ratio': 4.750169218994676, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• 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, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 1, 0, 0, -4, 0, 2, 4, -4, -6, 4, 6, 2, -12, 8, -14, -12, -2, 0, -8, -2, 8, 12, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 101400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '101400.cr', 'trace_hash': 2189185754992056102}
• 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': '0.0054259978597198510967573904302', 'prec': 110}, 'conductor': 101400, 'gens': [], 'heights': [], 'lmfdb_label': '101400.cr3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16003670510113689183785653327', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9204404612136427020542783992334146349', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[303, 0, 1], [1148, 0, 1]], 'xcoord_integral_points': [-1452, 303, 1148]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 0], '5': 'a', '13': 'a'}, 'iwp0': 5, 'lmfdb_label': '101400.cr3'}
• ec_torsion_growth •

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

  
  
  • id: 4703681
    {'degree': 4, 'field': [30, -30, 31, -2, 1], 'lmfdb_label': '101400.cr3', 'torsion': [2, 4]}
  • id: 4703683
    {'degree': 4, 'field': [196, 0, -2, 0, 1], 'lmfdb_label': '101400.cr3', 'torsion': [2, 4]}
  • id: 4703682
    {'degree': 4, 'field': [599, 54, -53, -2, 1], 'lmfdb_label': '101400.cr3', 'torsion': [2, 4]}
  • id: 4703684
    {'degree': 8, 'field': [-90, 240, -414, 326, -170, 20, 10, -4, 1], 'lmfdb_label': '101400.cr3', 'torsion': [2, 6]}
  • id: 4703687
    {'degree': 16, 'field': [-374319, 1559928, -1781560, 326120, 141020, -391976, 163432, -5360, -22755, 9720, 3732, -2264, -290, 280, -20, -8, 1], 'lmfdb_label': '101400.cr3', 'torsion': [2, 8]}
  • id: 4703685
    {'degree': 16, 'field': [65025, -137700, 55890, 31440, 31696, -2800, -15298, 8040, -51, -80, 386, -80, 44, -20, 12, 0, 1], 'lmfdb_label': '101400.cr3', 'torsion': [4, 4]}
  • id: 4703686
    {'degree': 16, 'field': [2069824, 1344416, 564516, 3566356, 1662461, -561168, 19678, -4312, 47502, -1192, 6232, 1116, 434, 28, 36, -4, 1], 'lmfdb_label': '101400.cr3', 'torsion': [2, 8]}
  • id: 4703688
    {'degree': 16, 'field': [110250000, 0, -41400000, 0, 37542000, 0, -9816000, 0, 1410700, 0, -78400, 0, 2340, 0, -40, 0, 1], 'lmfdb_label': '101400.cr3', 'torsion': [2, 8]}
• 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: 2489564
    {'conductor': 101400, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '101400.cr3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2489565
    {'conductor': 101400, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '101400.cr3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2489566
    {'conductor': 101400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '101400.cr3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2489567
    {'conductor': 101400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '101400.cr3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2330273
    {'adelic_gens': [[1, 0, 4, 1], [1437, 1558, 602, 1], [781, 4, 2, 9], [623, 1556, 1246, 1551], [1, 4, 0, 1], [521, 2, 0, 1], [1173, 4, 8, 11], [1557, 4, 1556, 5]], 'adelic_image': '1560.48.0.?', 'conductor': 101400, 'lmfdb_label': '101400.cr3', 'prime': 0}
  • id: 406953
    {'conductor': 101400, 'elladic_image': '2.6.0.1', 'lmfdb_label': '101400.cr3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 101400.cr does not appear in ec_padic