Elliptic curve data - 208080.cv1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '208080cp', 'Clabel': '208080cp2', 'Cnumber': 2, 'abc_quality': 1.003516346580922, 'absD': 88525375453504512000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [0, 0, 0, -276372723, -1825460985422], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 208080, 'degree': 52254720, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7488326834178985445435465005', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 73, 'isogeny_degrees': [1, 3], 'jinv': [-32391289681150609, 1228250000000], 'lmfdb_iso': '208080.cv', 'lmfdb_label': '208080.cv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6641, -215575], 'min_quad_twist_disc': 204, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '120.8.0.?', '204.8.0.?', '680.2.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '53.332765389049092935287177477', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0897726864957903493039244516', 'prec': 100}, 'szpiro_ratio': 5.7153922747342545, '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, -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 0, -1, 2, 0, -1, 0, 1, 6, -3, 5, -8, 6, 10, -3, 3, 3, -11, -2, -9, -11, 8, -12, -15, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 208080, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '208080.cv', 'trace_hash': 989751117694492079}
• 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': '0.00055437712773116414501821550016', 'prec': 113}, 'conductor': 208080, 'gens': [[31305447716107939278452433, 174139564924176434657642374670306476480, 14094231907]], 'heights': [{'__RealLiteral__': 0, 'data': '53.332765389049092935287177477', 'prec': 100}], 'lmfdb_label': '208080.cv1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.018472708460876530621715621778', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8816050115538413794022581786303098561', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 208080.cv1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9100526
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '208080.cv1', 'torsion': [3]}
  • id: 9100527
    {'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '208080.cv1', 'torsion': [2]}
  • id: 9100529
    {'degree': 6, 'field': [-3455, 918, 867, -50, -51, 0, 1], 'lmfdb_label': '208080.cv1', 'torsion': [3]}
  • id: 9100530
    {'degree': 6, 'field': [17, 0, -9, 0, 7, 0, 1], 'lmfdb_label': '208080.cv1', 'torsion': [6]}
  • id: 9100528
    {'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '208080.cv1', 'torsion': [2, 2]}
  • id: 9100531
    {'degree': 12, 'field': [-629108, 1683380, -2032376, 1204300, -367320, 96252, -5120, -636, 1575, -235, 78, -5, 1], 'lmfdb_label': '208080.cv1', 'torsion': [4]}
  • id: 9100533
    {'degree': 12, 'field': [1600, 0, -2560, 0, 3236, 0, 1768, 0, 328, 0, 28, 0, 1], 'lmfdb_label': '208080.cv1', 'torsion': [2, 6]}
  • id: 9100532
    {'degree': 12, 'field': [2122849, -1486140, 499785, -107100, 33756, -14412, 5611, -858, 6, -18, 15, -6, 1], 'lmfdb_label': '208080.cv1', 'torsion': [3, 3]}
  • id: 9100535
    {'degree': 18, 'field': [-4055, -11010, -9879, 8322, 17046, 2742, -16056, -1302, 11124, 5530, 534, 1158, 66, 18, 120, -18, -21, 0, 1], 'lmfdb_label': '208080.cv1', 'torsion': [6]}
  • id: 9100534
    {'degree': 18, 'field': [22412337, -26899992, 25353561, -19737394, 13217427, -6981798, 3560455, -1559568, 577005, -136594, 34644, -11076, 1300, 822, 171, -22, -30, 0, 1], 'lmfdb_label': '208080.cv1', 'torsion': [9]}
• 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: 5155451
    {'conductor': 208080, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '208080.cv1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5155452
    {'conductor': 208080, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '208080.cv1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5155453
    {'conductor': 208080, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '208080.cv1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5155454
    {'conductor': 208080, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '208080.cv1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2995652
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [1799, 2034, 1317, 2021], [1102, 933, 1265, 1013], [1529, 2034, 507, 2021], [2035, 6, 2034, 7], [1021, 6, 1023, 19], [817, 6, 411, 19], [1, 6, 0, 1]], 'adelic_image': '2040.16.0.?', 'conductor': 208080, 'lmfdb_label': '208080.cv1', 'prime': 0}
  • id: 768503
    {'conductor': 208080, 'elladic_image': '3.4.0.1', 'lmfdb_label': '208080.cv1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 208080.cv does not appear in ec_padic