Elliptic curve data - 55275.f2

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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': '55275p', 'Clabel': '55275p2', 'Cnumber': 2, 'abc_quality': 0.8786819717003155, 'absD': 351536044921875, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8844, 'ainvs': [1, 0, 0, -22088, -1554333], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 67], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 55275, 'degree': 221184, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5055843742943122424208898366', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [-76273573823929, 22498306875], 'lmfdb_iso': '55275.f', 'lmfdb_label': '55275.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -883, -12788], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '22.6.0.a.1', '804.6.0.?', '8844.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 4, 18425], [5, 18, 2211], [11, 12, 5025], [67, 68, 825]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70086541807726205512051016999', 'prec': 103}, 'szpiro_ratio': 3.8492305202903068, '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, -1, 1, -1, 0, -1, 2, 3, 1, 0, 1, -1, 0, -2, 0, -1, 4, -1, 8, 0], 'aplist': [-1, 1, 0, 2, 1, 0, 4, 8, -4, -8, 4, 6, -10, 6, 0, 10, 4, -12, 1, 12, -6, -10, 2, 18, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 55275, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '55275.f', 'trace_hash': 1067474172824624596}
• 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': '0.049234102832925893468116293559', 'prec': 107}, 'conductor': 55275, 'gens': [], 'heights': [], 'lmfdb_label': '55275.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19287464389246993390071570438', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3144957267096392068085884525643373847', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[703, -703, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [1, 0], '5': 'a', '11': [1, 0], '67': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '55275.f2'}
• ec_torsion_growth •

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

  
  
  • id: 2669166
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '55275.f2', 'torsion': [2, 2]}
  • id: 2669167
    {'degree': 4, 'field': [-1100, 0, 25, 0, 1], 'lmfdb_label': '55275.f2', 'torsion': [4]}
  • id: 2669170
    {'degree': 8, 'field': [-675, 0, -2385, 0, -90, 0, 0, 0, 1], 'lmfdb_label': '55275.f2', 'torsion': [6]}
  • id: 2669169
    {'degree': 8, 'field': [14641, 0, -5324, 0, 1001, 0, -44, 0, 1], 'lmfdb_label': '55275.f2', 'torsion': [2, 4]}
  • id: 2669168
    {'degree': 8, 'field': [1344381, 16242, -17588, 2630, -1159, -190, 68, -4, 1], 'lmfdb_label': '55275.f2', 'torsion': [2, 4]}
  • id: 2669172
    {'degree': 16, 'field': [34839531, -30199446, 36647928, -14340762, 10981071, -5133636, 2638350, -779856, 177064, 10738, -590, -1328, 646, -224, 52, -8, 1], 'lmfdb_label': '55275.f2', 'torsion': [2, 6]}
  • id: 2669171
    {'degree': 16, 'field': [5912843485640256, 0, 23768832998592, 0, -2712908896764, 0, -45130133268, 0, 280552789, 0, 6767552, 0, -63054, 0, -748, 0, 1], 'lmfdb_label': '55275.f2', '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: 1328025
    {'conductor': 55275, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '55275.f2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1328026
    {'conductor': 55275, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '55275.f2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1328027
    {'conductor': 55275, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55275.f2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1328028
    {'conductor': 55275, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '55275.f2', 'prime': 67, 'reduction_type': 1, '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: 2031322
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [5897, 4, 2950, 9], [1, 2, 2, 5], [4357, 4, 8714, 9], [1, 4, 0, 1], [1610, 1, 8039, 0], [2213, 6634, 6632, 2211], [8841, 4, 8840, 5]], 'adelic_image': '8844.12.0.?', 'conductor': 55275, 'lmfdb_label': '55275.f2', 'prime': 0}
  • id: 235389
    {'conductor': 55275, 'elladic_image': '2.3.0.1', 'lmfdb_label': '55275.f2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 55275.f does not appear in ec_padic