Elliptic curve data - 180918.t1

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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': '180918bv', 'Clabel': '180918bv1', 'Cnumber': 1, 'abc_quality': 0.969712328441402, 'absD': 457367983913141264505312, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10488, 'ainvs': [1, -1, 0, -11126556, 35538564784], 'analytic_rank': 0, 'bad_primes': [2, 3, 19, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 180918, 'degree': 27878400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2267822704672340274501796098', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1], 'jinv': [-1411599396089233, 4238100157152], 'lmfdb_iso': '180918.t', 'lmfdb_label': '180918.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2337, 107199], 'min_quad_twist_disc': 69, 'modell_images': [], 'modm_images': ['10488.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 90459], [3, 8, 1058], [5, 2, 90459], [19, 20, 9522], [23, 288, 342]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1097290181686043363491805754', 'prec': 100}, 'szpiro_ratio': 5.130661484986138, '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, -1, 0, 1, 2, 0, 0, -1, 0, -2, 6, 0, 7, 0, 0, 1, -1, 0, 1, 2], 'aplist': [-1, 0, 2, 0, 6, 7, -1, 1, 0, 2, 4, 10, 5, 1, 4, 5, -2, 1, -8, -3, 9, -11, 2, -6, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 180918, 'isogeny_matrix': [[1]], 'lmfdb_iso': '180918.t', 'trace_hash': 689255338969324200}
• 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': '0.0015748983618674689452282660706', 'prec': 110}, 'conductor': 180918, 'gens': [], 'heights': [], 'lmfdb_label': '180918.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.082446539483495315443952923756', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9574338952077751413097403402960142977', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 180918.t1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8003097
    {'degree': 3, 'field': [-30, -18, -1, 1], 'lmfdb_label': '180918.t1', 'torsion': [2]}
  • id: 8003098
    {'degree': 6, 'field': [10488, 0, 3025, 0, -110, 0, 1], 'lmfdb_label': '180918.t1', 'torsion': [2, 2]}
  • id: 8003099
    {'degree': 8, 'field': [-25156, -6788, 1336, 1720, -82, 8, -13, -2, 1], 'lmfdb_label': '180918.t1', 'torsion': [3]}
  • id: 8003100
    {'degree': 12, 'field': [-18815840, -40470672, -12908946, -5675930, 635133, -596496, 110268, 13650, 2847, -116, -72, -6, 1], 'lmfdb_label': '180918.t1', 'torsion': [4]}
• 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: 4478128
    {'conductor': 180918, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '180918.t1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4478129
    {'conductor': 180918, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '180918.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4478130
    {'conductor': 180918, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '180918.t1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4478131
    {'conductor': 180918, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '180918.t1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  {'adelic_gens': [[2623, 2, 0, 1], [553, 2, 553, 3], [10487, 2, 10486, 3], [10033, 2, 10033, 3], [1, 1, 10487, 0], [1, 0, 2, 1], [1, 2, 0, 1], [5245, 2, 5245, 3], [3497, 2, 3497, 3]], 'adelic_image': '10488.2.0.?', 'conductor': 180918, 'lmfdb_label': '180918.t1', 'prime': 0}
• lmfdb_iso 180918.t does not appear in ec_padic