Elliptic curve data - 390225.o1

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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': '390225o', 'Clabel': '390225o1', 'Cnumber': 1, 'abc_quality': 0.8419050473938342, 'absD': 823130859375, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 860, 'ainvs': [1, 0, 0, -9688, 363617], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 390225, 'degree': 691200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1129343587966353757945108072', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [53189206081, 435375], 'lmfdb_iso': '390225.o', 'lmfdb_label': '390225.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -387, 2754], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['860.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0746612561950812249633549251', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 130075], [3, 4, 130075], [5, 18, 15609], [11, 32, 3225], [43, 44, 9075]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.091433809553476568849526122407', 'prec': 110}, 'szpiro_ratio': 3.0408640244329193, '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, 0, 3, 1, 0, 0, -1, 4, 0, 0, -1, 6, -1, 1, 0], 'aplist': [-1, 1, 0, 0, 0, 4, 6, 1, 9, -4, 6, 5, -3, -1, -8, 2, -14, -4, 7, 5, -7, -6, -16, 0, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 390225, 'isogeny_matrix': [[1]], 'lmfdb_iso': '390225.o', 'trace_hash': 394734980468975686}
• 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': '0.10797357933282961249448510106', 'prec': 103}, 'conductor': 390225, 'gens': [[47, 89, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0746612561950812249633549251', 'prec': 100}], 'lmfdb_label': '390225.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.89706165862066559023622519573', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7122992715018207839249717399576101166', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [47, 88]}
• lmfdb_label 390225.o1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16131604
    {'degree': 3, 'field': [90, -40, -1, 1], 'lmfdb_label': '390225.o1', 'torsion': [2]}
  • id: 16131605
    {'degree': 6, 'field': [-215, 0, 511, 0, -233, 0, 1], 'lmfdb_label': '390225.o1', 'torsion': [2, 2]}
  • id: 16131606
    {'degree': 8, 'field': [574201, -180842, -5879, 38893, -8696, 1558, -59, -2, 1], 'lmfdb_label': '390225.o1', 'torsion': [3]}
  • id: 16131607
    {'degree': 12, 'field': [-5707618560, -3955662880, -448443952, -61573776, -42626936, 4605150, -1629507, 159720, -22429, 1430, -33, -4, 1], 'lmfdb_label': '390225.o1', '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: 9655721
    {'conductor': 390225, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '390225.o1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9655722
    {'conductor': 390225, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '390225.o1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9655723
    {'conductor': 390225, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '390225.o1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9655724
    {'conductor': 390225, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '390225.o1', 'prime': 43, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• 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, 1, 859, 0], [859, 2, 858, 3], [261, 2, 261, 3], [1, 0, 2, 1], [1, 2, 0, 1], [431, 2, 431, 3], [517, 2, 517, 3]], 'adelic_image': '860.2.0.?', 'conductor': 390225, 'lmfdb_label': '390225.o1', 'prime': 0}
• lmfdb_iso 390225.o does not appear in ec_padic