Elliptic curve data - 388080.c1

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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': '388080c', 'Clabel': '388080c1', 'Cnumber': 1, 'abc_quality': 1.1084434154218605, 'absD': 62407717945650000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4620, 'ainvs': [0, 0, 0, -15156288, -22711055913], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 388080, 'degree': 14376960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6246327941121572691248888151', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [10392086293512192, 1684375], 'lmfdb_iso': '388080.c', 'lmfdb_label': '388080.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -34368, 2452333], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '84.6.0.?', '330.6.0.?', '1540.6.0.?', '4620.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '26.041742968868208732671288458', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 8085], [3, 2, 43120], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59666944289676991155336780854', 'prec': 103}, 'szpiro_ratio': 4.756821757743646, '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, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -6, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, 0, -1, -6, -6, 0, -8, 2, -8, 6, 10, 0, 0, 6, 2, -8, 2, -8, -14, 10, 6, 6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 388080, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '388080.c', 'trace_hash': 564559230903825725}
• 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': '0.0052513736539858514810538934981', 'prec': 110}, 'conductor': 388080, 'gens': [[3778211352433, 7343943029563358071, 752]], 'heights': [{'__RealLiteral__': 0, 'data': '26.041742968868208732671288458', 'prec': 100}], 'lmfdb_label': '388080.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.076515839341830532824218769753', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9852116423743294926540858571239233728', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-2247, 0, 1]], 'xcoord_integral_points': [-2247]}
• lmfdb_label 388080.c1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16037658
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '388080.c1', 'torsion': [2, 2]}
  • id: 16037659
    {'degree': 4, 'field': [165, 0, 18, 0, 1], 'lmfdb_label': '388080.c1', 'torsion': [4]}
  • id: 16037662
    {'degree': 8, 'field': [-1323, 0, 26964, 0, 126, 0, 0, 0, 1], 'lmfdb_label': '388080.c1', 'torsion': [6]}
  • id: 16037661
    {'degree': 8, 'field': [53361, 0, 37422, 0, 3063, 0, 102, 0, 1], 'lmfdb_label': '388080.c1', 'torsion': [2, 4]}
  • id: 16037660
    {'degree': 8, 'field': [3837681, 0, -1493532, 0, 40134, 0, -348, 0, 1], 'lmfdb_label': '388080.c1', 'torsion': [2, 4]}
  • id: 16037663
    {'degree': 16, 'field': [2914057586302, -2124909608024, 208166764096, 141872367784, -6959338792, -10580621408, 350180824, 426555416, -2157176, -10223472, -483896, 161700, 14602, -1232, -164, 0, 1], 'lmfdb_label': '388080.c1', 'torsion': [8]}
  • id: 16037664
    {'degree': 16, 'field': [17914073879185, -417907113800, 485224291644, -127379807800, 45773073710, 20889270024, -5956185788, -840596912, 182402235, 17982880, -3086132, -272496, 40502, 2240, -300, -8, 1], 'lmfdb_label': '388080.c1', '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: 9597135
    {'conductor': 388080, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '388080.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9597136
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '388080.c1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9597137
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '388080.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9597138
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '388080.c1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9597139
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '388080.c1', 'prime': 11, '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: 4073665
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [661, 4, 1322, 9], [1, 2, 2, 5], [1, 4, 0, 1], [3469, 1156, 3464, 1155], [1544, 1, 3079, 0], [4617, 4, 4616, 5], [2774, 1, 923, 0], [422, 1, 2099, 0]], 'adelic_image': '4620.12.0.?', 'conductor': 388080, 'lmfdb_label': '388080.c1', 'prime': 0}
  • id: 1323784
    {'conductor': 388080, 'elladic_image': '2.3.0.1', 'lmfdb_label': '388080.c1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 388080.c does not appear in ec_padic