Elliptic curve data - 80080.g2

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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': '80080bp', 'Clabel': '80080bp1', 'Cnumber': 1, 'abc_quality': 0.9023236682925128, 'absD': 7824657319198720, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [0, 1, 0, -73360, 8727828], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 80080, 'degree': 675840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7749829302108696336585257264', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [-10659765530791441, 1910316728320], 'lmfdb_iso': '80080.g', 'lmfdb_label': '80080.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4585, -138665], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '110.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 55], [5, 6, 16016], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0818357496509243242412936049', 'prec': 100}, 'szpiro_ratio': 4.029198138092692, '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, 2, 0, -6, 0], 'aplist': [0, -2, 1, -1, 1, -1, 2, -6, 2, 0, -8, 8, 12, 12, -8, -8, 8, 6, -4, 16, 14, 10, 16, 10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 80080, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '80080.g', 'trace_hash': 1731919908217818667}
• 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': '0.028725620318062545793619208567', 'prec': 107}, 'conductor': 80080, 'gens': [], 'heights': [], 'lmfdb_label': '80080.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.39995445892355430742867470487', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5998178356942172297146988195003921461', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-318, 0, 1]], 'xcoord_integral_points': [-318]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [1, 0], '7': [0, 0], '11': [1, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '80080.g2'}
• ec_torsion_growth •

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

  
  
  • id: 3773116
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '80080.g2', 'torsion': [2, 2]}
  • id: 3773117
    {'degree': 4, 'field': [2, -28, -6, 0, 1], 'lmfdb_label': '80080.g2', 'torsion': [4]}
  • id: 3773120
    {'degree': 8, 'field': [-1452, 0, 11645, 0, 2847, 0, 51, 0, 1], 'lmfdb_label': '80080.g2', 'torsion': [6]}
  • id: 3773119
    {'degree': 8, 'field': [107570, -52260, 18386, -3864, 1035, -80, 50, -4, 1], 'lmfdb_label': '80080.g2', 'torsion': [2, 4]}
  • id: 3773118
    {'degree': 8, 'field': [116229961, 0, 117036, 0, 10126, 0, -4, 0, 1], 'lmfdb_label': '80080.g2', 'torsion': [2, 4]}
  • id: 3773122
    {'degree': 16, 'field': [89288492000, -45155618000, 50319445300, -10564071600, 5883970540, -753541960, 305401414, -50915018, 18428349, -4033982, 1044128, -133390, 25538, -1554, 242, -8, 1], 'lmfdb_label': '80080.g2', 'torsion': [2, 6]}
  • id: 3773121
    {'degree': 16, 'field': [407583413665, 446313562520, 321109694704, 157427322864, 60523419208, 16921842952, 3591921424, 540679776, 63717486, 6313160, 771344, 70896, 6216, -1064, -272, 0, 1], 'lmfdb_label': '80080.g2', 'torsion': [8]}
• 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: 1949586
    {'conductor': 80080, 'conductor_valuation': 4, 'discriminant_valuation': 34, 'j_denominator_valuation': 22, 'kodaira_symbol': -30, 'lmfdb_label': '80080.g2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1949587
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '80080.g2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1949588
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '80080.g2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1949589
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '80080.g2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1949590
    {'conductor': 80080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '80080.g2', 'prime': 13, 'reduction_type': -1, '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: 2192337
    {'adelic_gens': [[1, 2, 2, 5], [1962, 1, 559, 0], [1, 4, 0, 1], [2201, 4, 1322, 9], [1929, 1156, 384, 2695], [1234, 1, 2463, 0], [3077, 4, 3076, 5], [1541, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '3080.12.0.?', 'conductor': 80080, 'lmfdb_label': '80080.g2', 'prime': 0}
  • id: 329272
    {'conductor': 80080, 'elladic_image': '2.3.0.1', 'lmfdb_label': '80080.g2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 80080.g does not appear in ec_padic