Elliptic curve data - 108300.ba2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '108300f', 'Clabel': '108300f1', 'Cnumber': 1, 'abc_quality': 0.9990866133108368, 'absD': 1210078866671250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [0, -1, 0, -914533, 332744062], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 108300, 'degree': 2188800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2740803879784463821175918478', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [1048576, 15], 'lmfdb_iso': '108300.ba', 'lmfdb_label': '108300.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -101, -354], 'min_quad_twist_disc': -95, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.e.1', '76.6.0.?', '570.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1425], [3, 4, 36100], [5, 18, 4332], [19, 110, 300]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97001686280008258666196909988', 'prec': 107}, 'szpiro_ratio': 4.553925384574488, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 2, 0, 1, 0, -6, 0, 2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, -1, 0, 2, -6, 2, 2, 0, -4, 10, 4, -10, 2, 2, 12, -12, -4, 2, 4, -8, 2, 8, 4, 10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 108300, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '108300.ba', 'trace_hash': 2058831038679085926}
• 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': '0.010586657724265759301703628634', 'prec': 107}, 'conductor': 108300, 'gens': [], 'heights': [], 'lmfdb_label': '108300.ba2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27405833423186508888547458315', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6443500053911905333128474989141737645', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[602, 0, 1]], 'xcoord_integral_points': [602]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '19': 'a'}, 'iwp0': 5, 'lmfdb_label': '108300.ba2'}
• ec_torsion_growth •

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

  
  
  • id: 4994859
    {'degree': 2, 'field': [-71, -1, 1], 'lmfdb_label': '108300.ba2', 'torsion': [2, 2]}
  • id: 4994860
    {'degree': 4, 'field': [405, -162, -84, -2, 1], 'lmfdb_label': '108300.ba2', 'torsion': [4]}
  • id: 4994863
    {'degree': 8, 'field': [11694, -14649, 10820, -4617, -3495, -437, -3, 0, 1], 'lmfdb_label': '108300.ba2', 'torsion': [6]}
  • id: 4994861
    {'degree': 8, 'field': [13225, 0, -10180, 0, 2286, 0, -148, 0, 1], 'lmfdb_label': '108300.ba2', 'torsion': [2, 4]}
  • id: 4994862
    {'degree': 8, 'field': [488601, 0, 131904, 0, 7206, 0, 144, 0, 1], 'lmfdb_label': '108300.ba2', 'torsion': [2, 4]}
  • id: 4994865
    {'degree': 16, 'field': [28224, 0, -399285, 0, 257022, 0, -16131, 0, -17745, 0, -399, 0, 415, 0, 38, 0, 1], 'lmfdb_label': '108300.ba2', 'torsion': [2, 6]}
  • id: 4994864
    {'degree': 16, 'field': [6789760000, 0, -3377152000, 0, -440409600, 0, 8128000, 0, 4357120, 0, -1280, 0, -4176, 0, -16, 0, 1], 'lmfdb_label': '108300.ba2', 'torsion': [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: 2661420
    {'conductor': 108300, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '108300.ba2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2661421
    {'conductor': 108300, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '108300.ba2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2661422
    {'conductor': 108300, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '108300.ba2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2661423
    {'conductor': 108300, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '108300.ba2', 'prime': 19, '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: 2373906
    {'adelic_gens': [[844, 1, 359, 0], [1, 2, 2, 5], [1, 4, 0, 1], [289, 856, 284, 855], [1137, 4, 1136, 5], [1, 0, 4, 1], [382, 1, 379, 0], [3, 4, 8, 11], [914, 1, 683, 0]], 'adelic_image': '1140.12.0.?', 'conductor': 108300, 'lmfdb_label': '108300.ba2', 'prime': 0}
  • id: 431000
    {'conductor': 108300, 'elladic_image': '2.3.0.1', 'lmfdb_label': '108300.ba2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 108300.ba does not appear in ec_padic