Elliptic curve data - 6552.h2

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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': '6552v', 'Clabel': '6552v2', 'Cnumber': 2, 'abc_quality': 0.8759622866765943, 'absD': 55635600384, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -1011, -4930], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6552, 'degree': 5120, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75528271428637117387940220729', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [153091012, 74529], 'lmfdb_iso': '6552.h', 'lmfdb_label': '6552.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -112, 220], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '28.12.0-2.a.1.1', '104.12.0.?', '156.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], '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, 9], [3, 8, 728], [7, 8, 936], [13, 14, 504]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37164608051430476299924717905', 'prec': 107}, 'szpiro_ratio': 3.6835953679306717, '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, 0, 0, -2, 0, 1, 0, 0, 0, 4, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -2, 1, 4, -1, -2, 4, 4, -10, 8, 2, -10, 4, 8, 6, 8, 2, -8, -8, 6, 8, -8, -2, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 6552, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6552.h', 'trace_hash': 223826901070878299}
• 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': '0.22078510445268734805269706954', 'prec': 103}, 'conductor': 6552, 'gens': [], 'heights': [], 'lmfdb_label': '6552.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.88924253542990108692168132551', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7784850708598021738433626510212854798', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-5, 0, 1], [34, 0, 1]], 'xcoord_integral_points': [-29, -5, 34]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [1, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '6552.h2'}
• ec_torsion_growth •

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

  
  
  • id: 343187
    {'degree': 4, 'field': [22, -16, 17, -2, 1], 'lmfdb_label': '6552.h2', 'torsion': [2, 4]}
  • id: 343188
    {'degree': 4, 'field': [64, 0, -23, 0, 1], 'lmfdb_label': '6552.h2', 'torsion': [2, 4]}
  • id: 343189
    {'degree': 4, 'field': [64, 0, 10, 0, 1], 'lmfdb_label': '6552.h2', 'torsion': [2, 4]}
  • id: 343190
    {'degree': 8, 'field': [-3888, 0, 7344, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '6552.h2', 'torsion': [2, 6]}
  • id: 343192
    {'degree': 16, 'field': [13462, -45928, 103692, -148904, 166782, -136416, 90328, -42680, 15807, -3256, 616, -168, 210, -112, 36, -8, 1], 'lmfdb_label': '6552.h2', 'torsion': [2, 8]}
  • id: 343191
    {'degree': 16, 'field': [56736, -146880, 83376, -38880, 140122, -17260, 22862, -15720, 4065, 160, -94, 40, 56, -20, -12, 0, 1], 'lmfdb_label': '6552.h2', 'torsion': [4, 4]}
  • id: 343194
    {'degree': 16, 'field': [2436721, 0, -101864, 0, -223312, 0, -103800, 0, 73874, 0, -14760, 0, 1328, 0, -56, 0, 1], 'lmfdb_label': '6552.h2', 'torsion': [2, 8]}
  • id: 343193
    {'degree': 16, 'field': [184633744, 0, -82911860, 0, 16975801, 0, -5382914, 0, 931747, 0, -89192, 0, 4987, 0, -122, 0, 1], 'lmfdb_label': '6552.h2', '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: 132547
    {'conductor': 6552, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6552.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 132548
    {'conductor': 6552, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '6552.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 132549
    {'conductor': 6552, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6552.h2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 132550
    {'conductor': 6552, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6552.h2', 'prime': 13, '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: 1707157
    {'adelic_gens': [[1, 0, 4, 1], [1683, 2, 334, 2183], [1, 4, 0, 1], [549, 4, 1094, 3], [2181, 4, 2180, 5], [1093, 4, 2, 9], [727, 2182, 0, 2183], [1249, 2, 0, 1]], 'adelic_image': '2184.48.0.?', 'conductor': 6552, 'lmfdb_label': '6552.h2', 'prime': 0}
  • id: 32395
    {'conductor': 6552, 'elladic_image': '2.6.0.1', 'lmfdb_label': '6552.h2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 6552.h does not appear in ec_padic