Elliptic curve data - 83790.ci1

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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': '83790bw', 'Clabel': '83790bw1', 'Cnumber': 1, 'abc_quality': 0.9285015318020364, 'absD': 2289409272041472000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 15960, 'ainvs': [1, -1, 0, -721044, 246830800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 83790, 'degree': 2488320, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2807550765288322514727255337', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1, 3], 'jinv': [-483385461758641, 26693632000], 'lmfdb_iso': '83790.ci', 'lmfdb_label': '83790.ci1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1635, 26497], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '2280.8.0.?', '5320.2.0.?', '15960.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 41895], [3, 2, 931], [5, 6, 8379], [7, 32, 1710], [19, 20, 4410]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75849385766712075322242654352', 'prec': 103}, 'szpiro_ratio': 4.602134295435363, '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, 1, 0, 0, -1, 0, -1, 3, 0, 7, 0, 0, 1, 3, 0, -1, 1], 'aplist': [-1, 0, 1, 0, 3, 7, 3, -1, 9, 9, -8, -4, -3, -4, 6, 12, -9, 1, -1, -15, 10, -7, 9, -6, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 83790, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '83790.ci', 'trace_hash': 713933561577746210}
• 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': '0.010446271556809346566926459326', 'prec': 107}, 'conductor': 83790, 'gens': [], 'heights': [], 'lmfdb_label': '83790.ci1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25586057411308343661741243706', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0703268893570012394089492446974047834', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '83790.ci1'}
• ec_torsion_growth •

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

  
  
  • id: 3930880
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '83790.ci1', 'torsion': [3]}
  • id: 3930881
    {'degree': 3, 'field': [-28, 0, -1, 1], 'lmfdb_label': '83790.ci1', 'torsion': [2]}
  • id: 3930884
    {'degree': 6, 'field': [28, -14, 1, -56, 5, 0, 1], 'lmfdb_label': '83790.ci1', 'torsion': [6]}
  • id: 3930883
    {'degree': 6, 'field': [368, -340, 34, 33, -7, -1, 1], 'lmfdb_label': '83790.ci1', 'torsion': [3]}
  • id: 3930882
    {'degree': 6, 'field': [21280, 0, 1, 0, -2, 0, 1], 'lmfdb_label': '83790.ci1', 'torsion': [2, 2]}
  • id: 3930885
    {'degree': 12, 'field': [-8120637164, 6143073388, -2034621124, 326653490, -2028395, -141100, 53810, -306990, 49265, -240, -254, -2, 1], 'lmfdb_label': '83790.ci1', 'torsion': [4]}
  • id: 3930886
    {'degree': 12, 'field': [400, -1560, 2288, -1014, 327, 21, -167, 90, 6, 12, -1, -3, 1], 'lmfdb_label': '83790.ci1', 'torsion': [3, 3]}
  • id: 3930887
    {'degree': 12, 'field': [960400, -356720, 609364, 68796, 136731, -35140, -8928, -2552, 1113, 120, -26, -4, 1], 'lmfdb_label': '83790.ci1', 'torsion': [2, 6]}
  • id: 3930888
    {'degree': 18, 'field': [-35406815, 138358065, -218580345, 160848808, -28612290, -31932318, 16682692, 1619004, -3127311, -190765, 334233, 33708, -23804, -1458, 1770, 96, -69, -3, 1], 'lmfdb_label': '83790.ci1', 'torsion': [9]}
  • id: 3930889
    {'degree': 18, 'field': [6714688, -6269184, 3635376, 16552464, 34044, -4102176, 777544, -240384, -86871, 168522, 49269, -7224, -7898, -852, 642, 120, -27, -6, 1], 'lmfdb_label': '83790.ci1', 'torsion': [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: 2040888
    {'conductor': 83790, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '83790.ci1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2040889
    {'conductor': 83790, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '83790.ci1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2040890
    {'conductor': 83790, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '83790.ci1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2040891
    {'conductor': 83790, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '83790.ci1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2040892
    {'conductor': 83790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '83790.ci1', 'prime': 19, '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

  
  
  • id: 2215787
    {'adelic_gens': [[7981, 6, 7983, 19], [4, 3, 9, 7], [2279, 15954, 6837, 15941], [3991, 6, 11973, 19], [9577, 6, 12771, 19], [7314, 8639, 4655, 9309], [15955, 6, 15954, 7], [1, 6, 0, 1], [4201, 6, 12603, 19], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '15960.16.0.?', 'conductor': 83790, 'lmfdb_label': '83790.ci1', 'prime': 0}
  • id: 342487
    {'conductor': 83790, 'elladic_image': '3.4.0.1', 'lmfdb_label': '83790.ci1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 83790.ci does not appear in ec_padic