Elliptic curve data - 80080.bw1

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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': '80080bl', 'Clabel': '80080bl3', 'Cnumber': 3, 'abc_quality': 0.9532327911852743, 'absD': 3395289497600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [0, -1, 0, -2763040, 1768704000], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 80080, 'degree': 1036800, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1041905754685951598707980858', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [569541582763202518561, 828928100], 'lmfdb_iso': '80080.bw', 'lmfdb_label': '80080.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -172690, -27636000], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.9', '40.6.0.d.1', '120.48.0.?', '2002.6.0.?', '6006.24.0.?', '12012.48.0.?', '40040.12.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1001], [3, 2, 880], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4110433949086498504535659643', 'prec': 100}, 'szpiro_ratio': 4.969463811209826, '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, 2, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 2, 0, -6, 0, 4, 0], 'aplist': [0, 2, 1, -1, -1, 1, -6, 4, 0, 0, 4, 2, -6, -2, 0, 6, -12, 2, -14, -6, -4, 10, -6, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 80080, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '80080.bw', 'trace_hash': 302369896347400349}
• 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': '0.014870421831791914374525614837', 'prec': 107}, 'conductor': 80080, 'gens': [], 'heights': [], 'lmfdb_label': '80080.bw1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50796118907428869619786674550', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0477671344457321771872004730071024495', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[960, 0, 1]], 'xcoord_integral_points': [960]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [0, 0], '11': [0, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '80080.bw1'}
• ec_torsion_growth •

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

  
  
  • id: 3773013
    {'degree': 2, 'field': [-250, -1, 1], 'lmfdb_label': '80080.bw1', 'torsion': [2, 2]}
  • id: 3773014
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [6]}
  • id: 3773015
    {'degree': 4, 'field': [1001, 0, 62, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [4]}
  • id: 3773016
    {'degree': 4, 'field': [61006, 506, -505, -2, 1], 'lmfdb_label': '80080.bw1', 'torsion': [2, 6]}
  • id: 3773017
    {'degree': 6, 'field': [151250, 0, 0, -550, 0, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [6]}
  • id: 3773020
    {'degree': 8, 'field': [2041, -260, 948, -440, 453, -20, 38, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [12]}
  • id: 3773019
    {'degree': 8, 'field': [48400, 0, 17600, 0, 2161, 0, 102, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [2, 4]}
  • id: 3773018
    {'degree': 8, 'field': [46676620, 17220486, 595722, -189804, 9310, 705, -269, -3, 1], 'lmfdb_label': '80080.bw1', 'torsion': [2, 4]}
  • id: 3773021
    {'degree': 12, 'field': [23043543601, -250471650, 252738747, -164263550, 3164706, -895950, 611043, 0, 1656, -1100, -3, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [3, 6]}
  • id: 3773022
    {'degree': 12, 'field': [77440000000000, 0, 0, 0, 0, 0, 78596100, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [2, 6]}
  • id: 3773025
    {'degree': 16, 'field': [142802500, 0, 219883000, 0, 154457400, 0, 56004700, 0, 7489821, 0, 467344, 0, 14426, 0, 204, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [2, 12]}
  • id: 3773023
    {'degree': 16, 'field': [249895285850, 229517270200, 57139975500, -3757755400, -1769794030, 587597240, 165575480, -9371000, -3836469, 711592, 165408, -11816, -1310, 584, 28, -8, 1], 'lmfdb_label': '80080.bw1', 'torsion': [8]}
  • id: 3773024
    {'degree': 16, 'field': [235083575443600, 185828385707640, -117438932168194, 7307564635098, -2038480834779, 76484619198, 36178676014, -334180734, 809922074, -12243114, 50524, -86970, -58578, -186, -130, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [2, 12]}
  • id: 3773026
    {'degree': 18, 'field': [-2651565186270000, 0, 0, 0, -16070092038000, 0, 8107464627900, 0, 9511870500, 0, -509842080, 0, -6758823, 0, -4311, 0, 174, 0, 1], 'lmfdb_label': '80080.bw1', 'torsion': [18]}
• 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: 1949536
    {'conductor': 80080, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '80080.bw1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1949537
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '80080.bw1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1949538
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '80080.bw1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1949539
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '80080.bw1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1949540
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '80080.bw1', 'prime': 13, 'reduction_type': 1, '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: 2192318
    {'adelic_gens': [[9250, 3, 83133, 120112], [43690, 3, 98253, 120112], [120109, 12, 120108, 13], [1, 0, 12, 1], [5001, 25022, 95074, 115099], [96097, 12, 96102, 73], [1, 6, 6, 37], [1, 12, 0, 1], [34330, 3, 51453, 120112], [60061, 12, 6, 73], [80081, 12, 20020, 1], [11, 2, 120070, 120111]], 'adelic_image': '120120.96.1.?', 'conductor': 80080, 'lmfdb_label': '80080.bw1', 'prime': 0}
  • id: 329249
    {'conductor': 80080, 'elladic_image': '2.3.0.1', 'lmfdb_label': '80080.bw1', 'modell_image': '2B', 'prime': 2}
  • id: 329250
    {'conductor': 80080, 'elladic_image': '3.4.0.1', 'lmfdb_label': '80080.bw1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 80080.bw does not appear in ec_padic