Elliptic curve data - 880.h1

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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': '880i', 'Clabel': '880i3', 'Cnumber': 3, 'abc_quality': 1.0771710471613196, 'absD': 28160000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -947, -11214], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 880, 'degree': 256, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40748170058518640875424471182', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [22930509321, 6875], 'lmfdb_iso': '880.h', 'lmfdb_label': '880.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -59, 190], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.z.1.12', '44.24.0-44.h.1.1', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11], [5, 6, 176], [11, 12, 80]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'szpiro_ratio': 4.745408686318793, '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, -3, 0, 1, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 1, 0, 1, 2, 6, 4, -4, 6, 8, -2, 2, -4, 12, -2, -4, -10, 16, -8, 14, -8, 4, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 880, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '880.h', 'trace_hash': 1122619333264766815}
• 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': '0.44265552773913511982539840358', 'prec': 103}, 'conductor': 880, 'gens': [], 'heights': [], 'lmfdb_label': '880.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.86063672436894483017958903936', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7212734487378896603591780787257039361', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-18, 0, 1]], 'xcoord_integral_points': [-18]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [1, 0], '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '880.h1'}
• ec_torsion_growth •

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

  
  
  • id: 41686
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [2, 2]}
  • id: 41688
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [4]}
  • id: 41687
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '880.h1', 'torsion': [4]}
  • id: 41689
    {'degree': 4, 'field': [-11, 0, 0, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [2, 4]}
  • id: 41690
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [2, 4]}
  • id: 41694
    {'degree': 8, 'field': [-3, 0, -3, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [6]}
  • id: 41693
    {'degree': 8, 'field': [1, 6, 18, -2, -1, -2, 8, -4, 1], 'lmfdb_label': '880.h1', 'torsion': [8]}
  • id: 41691
    {'degree': 8, 'field': [100, 0, 136, 0, -16, 0, 4, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [4, 4]}
  • id: 41692
    {'degree': 8, 'field': [44375, -9500, 10320, -1680, 941, -124, 46, -4, 1], 'lmfdb_label': '880.h1', 'torsion': [8]}
  • id: 41700
    {'degree': 16, 'field': [25, 0, 50, 0, 25, 0, 824, 0, 382, 0, 74, 0, 16, 0, 8, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [12]}
  • id: 41698
    {'degree': 16, 'field': [121, 0, -682, 0, 1951, 0, -1579, 0, -659, 0, 194, 0, 31, 0, -13, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [2, 6]}
  • id: 41695
    {'degree': 16, 'field': [121, 0, 0, 0, -968, 0, 0, 0, 99, 0, 0, 0, -88, 0, 0, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [2, 8]}
  • id: 41697
    {'degree': 16, 'field': [400, 800, 800, 800, 2264, 2768, 1808, 272, -151, -86, 18, -46, -13, -6, 0, 0, 1], 'lmfdb_label': '880.h1', 'torsion': [2, 8]}
  • id: 41699
    {'degree': 16, 'field': [5505, -28470, 64470, -95946, 115359, -103476, 77082, -47088, 26830, -13082, 6022, -2336, 814, -224, 52, -8, 1], 'lmfdb_label': '880.h1', 'torsion': [12]}
  • id: 41696
    {'degree': 16, 'field': [4287625, -1466600, 2126870, -1457500, 1074696, -425272, 159370, -16820, 6981, -2760, 1366, -340, -4, 0, 20, -8, 1], 'lmfdb_label': '880.h1', 'torsion': [2, 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: 11646
    {'conductor': 880, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '880.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11647
    {'conductor': 880, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '880.h1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11648
    {'conductor': 880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '880.h1', '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: 1670120
    {'adelic_gens': [[1, 0, 8, 1], [433, 8, 432, 9], [1, 8, 0, 1], [404, 1, 343, 6], [1, 4, 4, 17], [7, 6, 434, 435], [177, 8, 268, 33], [272, 47, 247, 200], [59, 58, 178, 395]], 'adelic_image': '440.48.0.?', 'conductor': 880, 'lmfdb_label': '880.h1', 'prime': 0}
  • id: 4068
    {'conductor': 880, 'elladic_image': '4.12.0.8', 'lmfdb_label': '880.h1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 880.h does not appear in ec_padic