Elliptic curve data - 18900.x1

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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': '18900i', 'Clabel': '18900i1', 'Cnumber': 1, 'abc_quality': 0.9664381609593057, 'absD': 36921002343750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 30, 'ainvs': [0, 0, 0, 68175, 6206625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 18900, 'degree': 103680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8656753173229219052406775415', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1], 'jinv': [7121440512, 7503125], 'lmfdb_iso': '18900.x', 'lmfdb_label': '18900.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 2727, 49653], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['30.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42272332667890684993851335969', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 2, 70], [5, 14, 756], [7, 8, 2700]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0059480844181410129214532400419', 'prec': 110}, 'szpiro_ratio': 4.57027328828119, '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, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, -5, 0, -3, 0], 'aplist': [0, 0, 0, 1, -2, 0, -5, -3, -3, 0, 5, 10, 2, 2, -8, 11, 4, -11, 6, 2, 10, 7, 7, -14, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 18900, 'isogeny_matrix': [[1]], 'lmfdb_iso': '18900.x', 'trace_hash': 1133507500220222506}
• 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': '0.023960452155559830118853491584', 'prec': 107}, 'conductor': 18900, 'gens': [[145, 4375, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.42272332667890684993851335969', 'prec': 103}], 'lmfdb_label': '18900.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24195412476383869750907486882', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9094233211449522277564074330557270678', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': [-65, 145, 1219]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [2, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '18900.x1'}
• ec_torsion_growth •

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

  
  
  • id: 966569
    {'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '18900.x1', 'torsion': [2]}
  • id: 966570
    {'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '18900.x1', 'torsion': [2, 2]}
  • id: 966571
    {'degree': 8, 'field': [-14, 29, -38, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '18900.x1', 'torsion': [3]}
  • id: 966572
    {'degree': 12, 'field': [75, -306, 576, -720, 735, -720, 588, -348, 180, -90, 30, -6, 1], 'lmfdb_label': '18900.x1', '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: 426129
    {'conductor': 18900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '18900.x1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 426130
    {'conductor': 18900, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '18900.x1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 426131
    {'conductor': 18900, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '18900.x1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 426132
    {'conductor': 18900, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '18900.x1', 'prime': 7, 'reduction_type': 1, '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': [[1, 2, 0, 1], [1, 1, 29, 0], [1, 0, 2, 1], [7, 2, 7, 3], [11, 2, 11, 3], [29, 2, 28, 3]], 'adelic_image': '30.2.0.?', 'conductor': 18900, 'lmfdb_label': '18900.x1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 872342
    {'lmfdb_iso': '18900.x', 'p': 11, 'prec': 20, 'unit': 43636095148052424026, 'val': 1}
  • id: 872343
    {'lmfdb_iso': '18900.x', 'p': 17, 'prec': 20, 'unit': 76402476769701351835484, 'val': 1}
  • id: 872344
    {'lmfdb_iso': '18900.x', 'p': 19, 'prec': 20, 'unit': 993275723597311929655873, 'val': 1}
  • id: 872348
    {'lmfdb_iso': '18900.x', 'p': 23, 'prec': 20, 'unit': 13033194212757138464837527, 'val': 1}
  • id: 872352
    {'lmfdb_iso': '18900.x', 'p': 31, 'prec': 20, 'unit': 11590833370829596765682216144, 'val': 1}
  • id: 872337
    {'lmfdb_iso': '18900.x', 'p': 37, 'prec': 20, 'unit': 426727619666204097365653788925, 'val': 1}
  • id: 872339
    {'lmfdb_iso': '18900.x', 'p': 41, 'prec': 20, 'unit': 2219763128989827378840050954849, 'val': 1}
  • id: 872340
    {'lmfdb_iso': '18900.x', 'p': 43, 'prec': 20, 'unit': 10199554404939301827855393858349, 'val': 1}
  • id: 872350
    {'lmfdb_iso': '18900.x', 'p': 47, 'prec': 20, 'unit': 48021204621197835489996002898467, 'val': 1}
  • id: 872345
    {'lmfdb_iso': '18900.x', 'p': 53, 'prec': 20, 'unit': 2701719220495016677749679408120, 'val': 1}
  • id: 872346
    {'lmfdb_iso': '18900.x', 'p': 59, 'prec': 20, 'unit': 3963630426448421848163619645598942, 'val': 1}
  • id: 872351
    {'lmfdb_iso': '18900.x', 'p': 61, 'prec': 20, 'unit': 1121309623436790558636712990825608, 'val': 1}
  • id: 872336
    {'lmfdb_iso': '18900.x', 'p': 67, 'prec': 20, 'unit': 9187624906687189540713491053511348, 'val': 1}
  • id: 872338
    {'lmfdb_iso': '18900.x', 'p': 71, 'prec': 20, 'unit': 95754616378470666468205704791254543, 'val': 1}
  • id: 872347
    {'lmfdb_iso': '18900.x', 'p': 73, 'prec': 20, 'unit': 172593620602099204526793198316663595, 'val': 1}
  • id: 872341
    {'lmfdb_iso': '18900.x', 'p': 79, 'prec': 20, 'unit': 657802010770963587627776569946963284, 'val': 1}
  • id: 872335
    {'lmfdb_iso': '18900.x', 'p': 83, 'prec': 20, 'unit': 153533795587844540024923947680366461, 'val': 1}
  • id: 872349
    {'lmfdb_iso': '18900.x', 'p': 89, 'prec': 20, 'unit': 2925026752042066829201409428539971799, 'val': 1}
  • id: 872334
    {'lmfdb_iso': '18900.x', 'p': 97, 'prec': 20, 'unit': 44460919331048633574213437131452350347, 'val': 1}