Elliptic curve data - 10780.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': '10780i', 'Clabel': '10780i2', 'Cnumber': 2, 'abc_quality': 0.8298641323760774, 'absD': 8282489600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -2956, -62700], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10780, 'degree': 9216, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77388151648287334941336722822', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [94875856, 275], 'lmfdb_iso': '10780.c', 'lmfdb_label': '10780.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -60, 200], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '44.6.0.a.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 539], [5, 6, 2156], [7, 26, 220], [11, 12, 980]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66117167841808017608413055781', 'prec': 107}, 'szpiro_ratio': 3.8327411613291904, '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, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 4, 0, 4, 0], 'aplist': [0, -2, -1, 0, 1, 0, 4, 4, 6, 2, 0, -6, 10, 4, -10, 2, 4, 14, 2, 4, 4, -8, -12, -6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 10780, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10780.c', 'trace_hash': 844684582430706302}
• 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': '0.21272329699019357258660390821', 'prec': 103}, 'conductor': 10780, 'gens': [], 'heights': [], 'lmfdb_label': '10780.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.64757022577727709004616850727', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2951404515545541800923370145452200379', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-33, 0, 1]], 'xcoord_integral_points': [-33]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '7': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '10780.c1'}
• ec_torsion_growth •

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

  
  
  • id: 557351
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '10780.c1', 'torsion': [2, 2]}
  • id: 557352
    {'degree': 4, 'field': [539, 0, 49, 0, 1], 'lmfdb_label': '10780.c1', 'torsion': [4]}
  • id: 557355
    {'degree': 8, 'field': [-50655, -38346, -13222, -2940, -510, -42, 18, 0, 1], 'lmfdb_label': '10780.c1', 'torsion': [6]}
  • id: 557354
    {'degree': 8, 'field': [23389, -17402, 13334, -3850, 751, -154, 40, 0, 1], 'lmfdb_label': '10780.c1', 'torsion': [2, 4]}
  • id: 557353
    {'degree': 8, 'field': [78862, 46816, -7472, -13068, -4084, -528, -38, 0, 1], 'lmfdb_label': '10780.c1', 'torsion': [2, 4]}
  • id: 557356
    {'degree': 16, 'field': [7254181, 14388440, 21556832, 22423412, 32077392, 10364508, 8460134, 1023376, 241315, 116224, 51342, -6844, 2902, -112, 62, -4, 1], 'lmfdb_label': '10780.c1', 'torsion': [8]}
  • id: 557357
    {'degree': 16, 'field': [118592100, 0, -19118484, 0, -19340640, 0, 1322893, 0, 820622, 0, -89375, 0, 385, 0, -22, 0, 1], 'lmfdb_label': '10780.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: 229469
    {'conductor': 10780, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '10780.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 229470
    {'conductor': 10780, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10780.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 229471
    {'conductor': 10780, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '10780.c1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 229472
    {'conductor': 10780, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10780.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: 1735228
    {'adelic_gens': [[1, 2, 2, 5], [202, 1, 119, 0], [217, 4, 216, 5], [56, 169, 165, 56], [3, 4, 8, 11], [177, 4, 134, 9], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 10780, 'lmfdb_label': '10780.c1', 'prime': 0}
  • id: 51760
    {'conductor': 10780, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10780.c1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 10780.c does not appear in ec_padic