Elliptic curve data - 2175.i2

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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': '2175i', 'Clabel': '2175i1', 'Cnumber': 1, 'abc_quality': 0.8550399436902286, 'absD': 4587890625, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 580, 'ainvs': [1, 0, 1, -451, 1673], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2175, 'degree': 960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54899427236335937326733086788', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [5177717, 2349], 'lmfdb_iso': '2175.i', 'lmfdb_label': '2175.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -18, 6], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '116.6.0.?', '290.6.0.?', '580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 145], [3, 4, 725], [5, 14, 87], [29, 30, 75]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65808416196221590768323863204', 'prec': 107}, 'szpiro_ratio': 3.896637331052046, '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, 0, -1, 4, -2, 0, -1, 2, 1, 0, 0], 'aplist': [1, 1, 0, -2, 0, 4, 2, 0, 2, 1, 4, 2, 10, 0, 12, -12, 4, 2, 2, -8, 14, 8, -6, 10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 2175, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2175.i', 'trace_hash': 590781084754339518}
• 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': '0.33354131283669824546382370973', 'prec': 103}, 'conductor': 2175, 'gens': [], 'heights': [], 'lmfdb_label': '2175.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2335603896304510173478732245', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4671207792609020346957464490259302349', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-23, 11, 1]], 'xcoord_integral_points': [-23]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': 'a', '29': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '2175.i2'}
• ec_torsion_growth •

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

  
  
  • id: 110523
    {'degree': 2, 'field': [-36, -1, 1], 'lmfdb_label': '2175.i2', 'torsion': [2, 2]}
  • id: 110524
    {'degree': 4, 'field': [11, -1, 6, -1, 1], 'lmfdb_label': '2175.i2', 'torsion': [4]}
  • id: 110525
    {'degree': 8, 'field': [-25794, 15386, 5339, -5678, 589, 374, -79, -2, 1], 'lmfdb_label': '2175.i2', 'torsion': [2, 4]}
  • id: 110527
    {'degree': 8, 'field': [-6075, 0, 2475, 0, -270, 0, 0, 0, 1], 'lmfdb_label': '2175.i2', 'torsion': [6]}
  • id: 110526
    {'degree': 8, 'field': [256, 0, -16, 0, -4, 0, -1, 0, 1], 'lmfdb_label': '2175.i2', 'torsion': [2, 4]}
  • id: 110528
    {'degree': 16, 'field': [266911, -74002, -84580, 69280, 96869, -5762, -31842, -10710, 9136, 3648, -1362, -686, 179, 76, -16, -4, 1], 'lmfdb_label': '2175.i2', 'torsion': [8]}
  • id: 110529
    {'degree': 16, 'field': [234365481, 0, 22143375, 0, -4146552, 0, -1694925, 0, -103761, 0, 1260, 0, 162, 0, 0, 0, 1], 'lmfdb_label': '2175.i2', 'torsion': [2, 6]}
• 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: 36350
    {'conductor': 2175, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2175.i2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 36351
    {'conductor': 2175, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2175.i2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 36352
    {'conductor': 2175, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2175.i2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1678135
    {'adelic_gens': [[1, 0, 4, 1], [577, 4, 576, 5], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [437, 146, 144, 435], [468, 1, 463, 0], [62, 1, 259, 0]], 'adelic_image': '580.12.0.?', 'conductor': 2175, 'lmfdb_label': '2175.i2', 'prime': 0}
  • id: 10697
    {'conductor': 2175, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2175.i2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 2175.i does not appear in ec_padic