Elliptic curve data - 90354.h1

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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': '90354h', 'Clabel': '90354h2', 'Cnumber': 2, 'abc_quality': 0.8954757725847072, 'absD': 897621149408419392, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 132, 'ainvs': [1, 0, 1, -722861, -240965848], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 90354, 'degree': 1342656, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2347839703569609897712474765', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [-11892507625, 255552], 'lmfdb_iso': '90354.h', 'lmfdb_label': '90354.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -528, -4800], 'min_quad_twist_disc': 37, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '132.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45177], [3, 4, 1369], [11, 12, 8214], [37, 506, 66]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17249463807252197314081630419', 'prec': 107}, 'szpiro_ratio': 4.567587094333869, '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, 1, 1, 0, -1, -1, -1, 1, 0, -1, 1, -4, 1, 0, 1, -3, -1, 5, 0], 'aplist': [-1, 1, 0, -1, -1, -4, -3, 5, -3, -6, -4, 0, 3, -1, -9, -6, 12, 8, -4, 12, -4, -1, -6, 0, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 90354, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '90354.h', 'trace_hash': 1133097949183535670}
• 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': '0.011452262838238624522430846602', 'prec': 107}, 'conductor': 90354, 'gens': [], 'heights': [], 'lmfdb_label': '90354.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.081762367230477208450411598990', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.49057420338286325070246959393904456234', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [3, 1], '11': [0, 0], '37': 'a'}, 'iwp0': 5, 'lmfdb_label': '90354.h1'}
• ec_torsion_growth •

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

  
  
  • id: 4223237
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '90354.h1', 'torsion': [3]}
  • id: 4223238
    {'degree': 3, 'field': [-825, 25, -1, 1], 'lmfdb_label': '90354.h1', 'torsion': [2]}
  • id: 4223239
    {'degree': 3, 'field': [-333, 0, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [3]}
  • id: 4223241
    {'degree': 6, 'field': [4107, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [3, 3]}
  • id: 4223242
    {'degree': 6, 'field': [16428, -8214, 1369, 0, -37, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [6]}
  • id: 4223240
    {'degree': 6, 'field': [29700, 0, 324, 0, -63, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [2, 2]}
  • id: 4223243
    {'degree': 9, 'field': [-157464, 0, 0, -243, 0, 0, -162, 0, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [6]}
  • id: 4223245
    {'degree': 12, 'field': [1210000, 0, 39600, 0, 24396, 0, -2956, 0, 405, 0, -21, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [2, 6]}
  • id: 4223244
    {'degree': 12, 'field': [3663396, -1983600, 3450, 279324, 76773, -55545, 8843, -3986, 1158, -192, 25, -3, 1], 'lmfdb_label': '90354.h1', 'torsion': [4]}
  • id: 4223247
    {'degree': 18, 'field': [1259712, 0, 0, 0, 0, 0, -69903, 0, 0, 0, 0, 0, 990, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [3, 6]}
  • id: 4223246
    {'degree': 18, 'field': [387420489, 0, 0, -15943230, 0, 0, 1813023, 0, 0, 26892, 0, 0, 2487, 0, 0, -30, 0, 0, 1], 'lmfdb_label': '90354.h1', 'torsion': [9]}
  • id: 4223248
    {'degree': 18, 'field': [19098395217, 0, 0, 0, 0, 0, 47515385295, 0, 0, 0, 0, 0, -362721, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '90354.h1', '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: 2209656
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '90354.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2209657
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90354.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2209658
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '90354.h1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2209659
    {'conductor': 90354, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '90354.h1', 'prime': 37, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2258877
    {'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [14, 123, 1, 34], [67, 6, 69, 19], [3, 4, 8, 11], [129, 130, 122, 125], [1, 6, 0, 1], [13, 6, 39, 19], [127, 6, 126, 7]], 'adelic_image': '132.16.0.?', 'conductor': 90354, 'lmfdb_label': '90354.h1', 'prime': 0}
  • id: 366894
    {'conductor': 90354, 'elladic_image': '3.8.0.2', 'lmfdb_label': '90354.h1', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 90354.h does not appear in ec_padic