Elliptic curve data - 101400.bc4

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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': '101400cb', 'Clabel': '101400cb2', 'Cnumber': 2, 'abc_quality': 1.0257583484881192, 'absD': 39097152900000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -85908, 1879812], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 101400, 'degree': 737280, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8740453194577878372986073337', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [3631696, 2025], 'lmfdb_iso': '101400.bc', 'lmfdb_label': '101400.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20, 0], 'min_quad_twist_disc': 65, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '20.24.0.c.1', '24.48.0.p.2', '40.48.0.j.1', '52.24.0-4.b.1.2', '104.48.0.?', '120.96.1.?', '260.48.0.?', '312.96.0.?', '520.96.0.?', '1560.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67524643586332759097333746800', 'prec': 107}, 'szpiro_ratio': 3.9643785706910095, '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, 6, 0, 4, 0], 'aplist': [0, -1, 0, 0, 4, 0, 6, 4, 0, -2, 8, -2, 6, -12, 8, -6, -12, 14, 4, -8, -6, -8, -12, -10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 101400, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '101400.bc', 'trace_hash': 1314190820620972533}
• 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': '0.023562692620886767417961871375', 'prec': 107}, 'conductor': 101400, 'gens': [], 'heights': [], 'lmfdb_label': '101400.bc4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31492277165940166562032471623', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5193821732752133249625977298502376729', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[22, 0, 1], [282, 0, 1]], 'xcoord_integral_points': [-303, 22, 282]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '101400.bc4'}
• ec_torsion_growth •

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

  
  
  • id: 4704009
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 4]}
  • id: 4704010
    {'degree': 4, 'field': [69, -4, 5, -2, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 4]}
  • id: 4704011
    {'degree': 4, 'field': [209, -24, 25, -2, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 4]}
  • id: 4704015
    {'degree': 8, 'field': [-64060, -43280, 15980, -8780, 2060, -200, 4, -4, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 6]}
  • id: 4704012
    {'degree': 8, 'field': [404, 188, -138, -94, 33, 14, 0, -4, 1], 'lmfdb_label': '101400.bc4', 'torsion': [4, 4]}
  • id: 4704013
    {'degree': 8, 'field': [3136, 0, -2880, 0, 788, 0, -60, 0, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 8]}
  • id: 4704014
    {'degree': 8, 'field': [104134, 18868, -17438, -2804, 1263, 164, -50, -4, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 8]}
  • id: 4704016
    {'degree': 16, 'field': [27556, 0, -51024, 0, 38340, 0, -15276, 0, 6229, 0, -1716, 0, 270, 0, -24, 0, 1], 'lmfdb_label': '101400.bc4', 'torsion': [4, 8]}
  • id: 4704017
    {'degree': 16, 'field': [1942253041, 0, 837315368, 0, 177766490, 0, 22842588, 0, 1903079, 0, 106812, 0, 4010, 0, 92, 0, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 8]}
  • id: 4704018
    {'degree': 16, 'field': [3995537900, 2218354600, -1731976100, -912839040, 311253640, 161467640, -33285884, -16260488, 2437065, 1008760, -126952, -38512, 4538, 840, -100, -8, 1], 'lmfdb_label': '101400.bc4', 'torsion': [2, 12]}
• 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: 2489736
    {'conductor': 101400, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '101400.bc4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2489737
    {'conductor': 101400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '101400.bc4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2489738
    {'conductor': 101400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '101400.bc4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2489739
    {'conductor': 101400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '101400.bc4', '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: 2330203
    {'adelic_gens': [[1145, 572, 572, 781], [1481, 598, 546, 1325], [1, 0, 8, 1], [1, 8, 0, 1], [479, 0, 0, 1559], [521, 728, 884, 1353], [5, 4, 1556, 1557], [1553, 8, 1552, 9], [963, 754, 728, 1301]], 'adelic_image': '1560.192.1.?', 'conductor': 101400, 'lmfdb_label': '101400.bc4', 'prime': 0}
  • id: 406909
    {'conductor': 101400, 'elladic_image': '8.24.0.13', 'lmfdb_label': '101400.bc4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 101400.bc does not appear in ec_padic