Elliptic curve data - 18450.ca2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '18450bx', 'Clabel': '18450bx4', 'Cnumber': 4, 'abc_quality': 1.002573457844343, 'absD': 2191319572865695312500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2460, 'ainvs': [1, -1, 1, -2307605, 2626020897], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 41], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 18450, 'degree': 1327104, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7859844094764078683089171230', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-119305480789133569, 192379221760500], 'lmfdb_iso': '18450.ca', 'lmfdb_label': '18450.ca2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10256, -778764], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.10', '15.8.0-3.a.1.2', '20.6.0.a.1', '30.24.0-6.a.1.2', '60.48.0-60.o.1.7', '164.6.0.?', '492.48.0.?', '820.12.0.?', '2460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 50], [5, 18, 738], [41, 42, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4319593089253028353109148379', 'prec': 100}, 'szpiro_ratio': 5.79265213942907, '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, 0, 1, 0, 0, 4, 1, 0, 0, 6, 0, 4, 4, 0, 1, 0, 0, 2, 0], 'aplist': [1, 0, 0, 4, 6, 4, 0, 2, 0, 6, -4, -2, 1, 4, 0, 12, 0, 2, -8, 6, -2, -10, -12, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 18450, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '18450.ca', 'trace_hash': 1892784449677384399}
• 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': '0.0038029856668364149632092993798', 'prec': 110}, 'conductor': 18450, 'gens': [], 'heights': [], 'lmfdb_label': '18450.ca2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13114204408737384631245854512', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.2948181161939446229980101659900100588', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-7669, 7665, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': 'a', '5': 'a', '41': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '18450.ca2'}
• ec_torsion_growth •

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

  
  
  • id: 943724
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '18450.ca2', 'torsion': [6]}
  • id: 943723
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [2, 2]}
  • id: 943725
    {'degree': 4, 'field': [-41, -41, -10, -1, 1], 'lmfdb_label': '18450.ca2', 'torsion': [4]}
  • id: 943726
    {'degree': 4, 'field': [1, 0, 3, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [2, 6]}
  • id: 943727
    {'degree': 6, 'field': [96, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [6]}
  • id: 943729
    {'degree': 8, 'field': [4900, 0, 200, 0, -15, 0, -10, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [2, 4]}
  • id: 943730
    {'degree': 8, 'field': [6561, 0, 0, 0, -207, 0, 0, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [12]}
  • id: 943728
    {'degree': 8, 'field': [7636, 12632, 7036, 1772, 165, -92, 1, -2, 1], 'lmfdb_label': '18450.ca2', 'torsion': [2, 4]}
  • id: 943732
    {'degree': 12, 'field': [4, 0, 84, 0, 1680, 0, 253, 0, -21, 0, 3, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [2, 6]}
  • id: 943731
    {'degree': 12, 'field': [144, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [3, 6]}
  • id: 943735
    {'degree': 16, 'field': [50121, -163242, 137772, 92634, -129794, -12392, 37210, -6978, -4101, 3296, 750, -194, 6, 42, -2, -4, 1], 'lmfdb_label': '18450.ca2', 'torsion': [2, 12]}
  • id: 943734
    {'degree': 16, 'field': [63001, 0, 616581, 0, 1585694, 0, 626619, 0, 63930, 0, -3381, 0, -466, 0, 21, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [2, 12]}
  • id: 943733
    {'degree': 16, 'field': [871430400, 0, 254167200, 0, -41601060, 0, -1231230, 0, 249481, 0, -6132, 0, -466, 0, 42, 0, 1], 'lmfdb_label': '18450.ca2', 'torsion': [8]}
  • id: 943736
    {'degree': 18, 'field': [-678231585936, 2152002723984, 562219729920, 323144322912, 70344333360, 1166644944, -871731036, -1653601500, -264838248, -42369960, -10257840, 2215080, 447755, 17085, 1575, -568, -153, 0, 1], 'lmfdb_label': '18450.ca2', '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: 415014
    {'conductor': 18450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18450.ca2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 415015
    {'conductor': 18450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '18450.ca2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 415016
    {'conductor': 18450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '18450.ca2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 415017
    {'conductor': 18450, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '18450.ca2', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1787153
    {'adelic_gens': [[1026, 217, 1025, 206], [2449, 12, 2448, 13], [1, 0, 12, 1], [1, 6, 6, 37], [2450, 2457, 519, 8], [1, 12, 0, 1], [11, 2, 2410, 2451], [1441, 12, 1266, 73], [1639, 2448, 1640, 2459]], 'adelic_image': '2460.96.1.?', 'conductor': 18450, 'lmfdb_label': '18450.ca2', 'prime': 0}
  • id: 86277
    {'conductor': 18450, 'elladic_image': '2.3.0.1', 'lmfdb_label': '18450.ca2', 'modell_image': '2B', 'prime': 2}
  • id: 86278
    {'conductor': 18450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '18450.ca2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 18450.ca does not appear in ec_padic