Elliptic curve data - 7803.k3

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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': '7803a', 'Clabel': '7803a2', 'Cnumber': 2, 'absD': 475099770627, 'ainvs': [0, 0, 1, 0, -33163], 'analytic_rank': 1, 'bad_primes': [3, 17], 'class_deg': 27, 'class_size': 4, 'cm': -3, 'conductor': 7803, 'degree': 5184, 'elladic_images': ['27.972.55.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91944846010115239368133204077', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 10, 'isogeny_degrees': [1, 3, 9], 'jinv': [0, 1], 'lmfdb_iso': '7803.k', 'lmfdb_label': '7803.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 0], 'min_quad_twist_disc': -51, 'modell_images': ['3Cs'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2457205535589228233076610141', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 2, 17], [17, 146, 27]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.831789860268026, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, -7, 0], 'aplist': [0, 0, 0, 1, 0, 5, 0, -7, 0, 0, 4, -11, 0, 8, 0, 0, 0, 1, 5, 0, 7, -17, 0, 0, 19], 'class_deg': 27, 'class_size': 4, 'conductor': 7803, 'isogeny_matrix': [[1, 27, 3, 9], [27, 1, 9, 3], [3, 9, 1, 3], [9, 3, 3, 1]], 'lmfdb_iso': '7803.k', 'trace_hash': 30082106899334759}
• 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': '0.15899271106005283609502554942', 'prec': 103}, 'conductor': 7803, 'gens': [[1105, 36699, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2457205535589228233076610141', 'prec': 100}], 'lmfdb_label': '7803.k3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42847283351388777273489426319', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6383518317830875469082982872726476946', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 13, 0], '3': 'a', '5': [1, 1, 0], '7': [5, 0], '11': [1, 1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '7803.k3'}
• ec_torsion_growth •

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

  
  
  • id: 408528
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '7803.k3', 'torsion': [3]}
  • id: 408529
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '7803.k3', 'torsion': [3]}
  • id: 408530
    {'degree': 3, 'field': [-2, 0, 0, 1], 'lmfdb_label': '7803.k3', 'torsion': [2]}
  • id: 408531
    {'degree': 4, 'field': [16, 4, 5, -1, 1], 'lmfdb_label': '7803.k3', 'torsion': [3, 3]}
  • id: 408534
    {'degree': 6, 'field': [-34, -102, 42, 19, -9, -3, 1], 'lmfdb_label': '7803.k3', 'torsion': [6]}
  • id: 408532
    {'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '7803.k3', 'torsion': [2, 2]}
  • id: 408535
    {'degree': 6, 'field': [229, 237, 108, 5, -12, -3, 1], 'lmfdb_label': '7803.k3', 'torsion': [6]}
  • id: 408533
    {'degree': 6, 'field': [361, -156, 144, -13, 24, 0, 1], 'lmfdb_label': '7803.k3', 'torsion': [9]}
  • id: 408536
    {'degree': 12, 'field': [-76346, -258240, -254604, 38564, 86010, -61980, 25056, -4260, 474, 14, 18, -6, 1], 'lmfdb_label': '7803.k3', 'torsion': [4]}
  • id: 408539
    {'degree': 12, 'field': [841, 0, -1953, 0, 3750, 0, -1921, 0, 390, 0, -33, 0, 1], 'lmfdb_label': '7803.k3', 'torsion': [6, 6]}
  • id: 408537
    {'degree': 12, 'field': [4096, 0, 0, 832, 0, 0, 233, 0, 0, -13, 0, 0, 1], 'lmfdb_label': '7803.k3', 'torsion': [3, 9]}
  • id: 408538
    {'degree': 12, 'field': [31021, -106635, 101580, 82957, 28176, 16755, 5031, 1191, 240, 37, 12, -3, 1], 'lmfdb_label': '7803.k3', 'torsion': [7]}
  • id: 408540
    {'degree': 18, 'field': [66691, -814113, -527409, 934992, 725949, -518166, -433356, 197811, 157806, -65340, -34074, 15399, 4125, -2223, -261, 198, 0, -9, 1], 'lmfdb_label': '7803.k3', 'torsion': [9]}
  • id: 408541
    {'degree': 18, 'field': [1900837, 5921784, 8347863, 7716348, 5294616, 2628261, 1193310, 614166, 208806, 68753, 38835, 2046, 6231, -759, 729, -93, 42, -3, 1], 'lmfdb_label': '7803.k3', 'torsion': [18]}
• 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: 161304
    {'conductor': 7803, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '7803.k3', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 161305
    {'conductor': 7803, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7803.k3', 'prime': 17, '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

  
  {'conductor': 7803, 'elladic_image': '27.972.55.16', 'lmfdb_label': '7803.k3', 'modell_image': '3Cs', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 318887
    {'lmfdb_iso': '7803.k', 'p': 7, 'prec': 20, 'unit': 51960241259752687, 'val': 0}
  • id: 318890
    {'lmfdb_iso': '7803.k', 'p': 13, 'prec': 20, 'unit': 246814852978047576655, 'val': 1}
  • id: 318892
    {'lmfdb_iso': '7803.k', 'p': 19, 'prec': 20, 'unit': 1403518282121843453042050, 'val': 1}
  • id: 318894
    {'lmfdb_iso': '7803.k', 'p': 31, 'prec': 20, 'unit': 7332651546472644988973180442, 'val': 1}
  • id: 318886
    {'lmfdb_iso': '7803.k', 'p': 37, 'prec': 20, 'unit': 339301409294899500737512837158, 'val': 1}
  • id: 318889
    {'lmfdb_iso': '7803.k', 'p': 43, 'prec': 20, 'unit': 6034788908429030145137980624729, 'val': 1}
  • id: 318893
    {'lmfdb_iso': '7803.k', 'p': 61, 'prec': 20, 'unit': 144247300738308677899256685639328868, 'val': 0}
  • id: 318885
    {'lmfdb_iso': '7803.k', 'p': 67, 'prec': 20, 'unit': 20794107914483072663918281863787991, 'val': 1}
  • id: 318888
    {'lmfdb_iso': '7803.k', 'p': 73, 'prec': 20, 'unit': 49880357636032667595659212953484333, 'val': 1}
  • id: 318891
    {'lmfdb_iso': '7803.k', 'p': 79, 'prec': 20, 'unit': 1055324811839676747389611312805258538, 'val': 1}
  • id: 318884
    {'lmfdb_iso': '7803.k', 'p': 97, 'prec': 20, 'unit': 44155440168100604372471501255367169367, 'val': 1}