Elliptic curve data - 4800.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': '4800ca', 'Clabel': '4800ca2', 'Cnumber': 2, 'abc_quality': 1.107234206134163, 'absD': 41472000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, -2153, 39177], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4800, 'degree': 3072, 'elladic_images': ['8.24.0.135'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54809042381660086347721750536', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [2156689088, 81], 'lmfdb_iso': '4800.c', 'lmfdb_label': '4800.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -538, -4628], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.24.0.bc.1', '10.6.0.a.1', '20.12.0.k.1', '40.48.1.hi.1', '48.48.1.fj.1', '80.96.1.?', '240.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.72161066917658683838748319590', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 4, 1600], [5, 10, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54741623485186953959020444940', 'prec': 107}, 'szpiro_ratio': 4.086409048453844, '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, -1, 0, 0, 0, -4, 0, 1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, -1, 0, -4, 0, -4, 0, 8, 4, 6, -8, 4, 6, -4, -4, 12, 0, 6, -12, -16, 0, -8, 12, -10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 4800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4800.c', 'trace_hash': 752198259295708245}
• 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': '0.33414479979495322440896157967', 'prec': 103}, 'conductor': 4800, 'gens': [[23, 36, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.72161066917658683838748319590', 'prec': 103}], 'lmfdb_label': '4800.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9070934760803427471624016430', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7523579989132784699591630717916601222', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[27, 0, 1]], 'xcoord_integral_points': [-53, 23, 27, 32]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4800.c1'}
• ec_torsion_growth •

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

  
  
  • id: 250323
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '4800.c1', 'torsion': [2, 2]}
  • id: 250324
    {'degree': 4, 'field': [5, 0, 0, 0, 1], 'lmfdb_label': '4800.c1', 'torsion': [4]}
  • id: 250327
    {'degree': 8, 'field': [-300, 0, -200, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '4800.c1', 'torsion': [6]}
  • id: 250326
    {'degree': 8, 'field': [1, 0, -8, 0, -1, 0, -2, 0, 1], 'lmfdb_label': '4800.c1', 'torsion': [2, 4]}
  • id: 250325
    {'degree': 8, 'field': [36, 0, -56, 0, 16, 0, 4, 0, 1], 'lmfdb_label': '4800.c1', 'torsion': [2, 4]}
  • id: 250328
    {'degree': 16, 'field': [1, 0, 0, 0, -36, 0, 0, 0, 646, 0, 0, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '4800.c1', 'torsion': [4, 4]}
  • id: 250329
    {'degree': 16, 'field': [36, 0, 32, 0, 0, 0, 72, 0, 44, 0, -32, 0, 60, 0, -12, 0, 1], 'lmfdb_label': '4800.c1', 'torsion': [8]}
  • id: 250330
    {'degree': 16, 'field': [457481, -190712, 210940, -26800, -21970, 46824, -25808, 14840, -12025, 6680, -2568, 776, -190, 0, 20, -8, 1], 'lmfdb_label': '4800.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: 92230
    {'conductor': 4800, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '4800.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 92231
    {'conductor': 4800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4800.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 92232
    {'conductor': 4800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '4800.c1', 'prime': 5, '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: 1695177
    {'adelic_gens': [[1, 0, 16, 1], [1, 16, 0, 1], [7, 4, 68, 39], [15, 76, 44, 175], [59, 70, 234, 179], [225, 16, 224, 17], [56, 15, 209, 32], [3, 16, 232, 11], [45, 196, 224, 59], [7, 16, 8, 87]], 'adelic_image': '240.192.3.?', 'conductor': 4800, 'lmfdb_label': '4800.c1', 'prime': 0}
  • id: 23691
    {'conductor': 4800, 'elladic_image': '8.24.0.135', 'lmfdb_label': '4800.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 174878
    {'lmfdb_iso': '4800.c', 'p': 7, 'prec': 20, 'unit': 8409732682855951, 'val': 1}
  • id: 174882
    {'lmfdb_iso': '4800.c', 'p': 13, 'prec': 20, 'unit': 817203811622721367912, 'val': 1}
  • id: 174884
    {'lmfdb_iso': '4800.c', 'p': 19, 'prec': 20, 'unit': 1609583480623474008952123, 'val': 1}
  • id: 174886
    {'lmfdb_iso': '4800.c', 'p': 23, 'prec': 20, 'unit': 68110090399917891806151360, 'val': 1}
  • id: 174881
    {'lmfdb_iso': '4800.c', 'p': 29, 'prec': 20, 'unit': 4058453600531246359671088620, 'val': 1}
  • id: 174891
    {'lmfdb_iso': '4800.c', 'p': 31, 'prec': 20, 'unit': 10808392817503824732642513235, 'val': 1}
  • id: 174877
    {'lmfdb_iso': '4800.c', 'p': 37, 'prec': 20, 'unit': 47131314401410311028439882740, 'val': 1}
  • id: 174879
    {'lmfdb_iso': '4800.c', 'p': 41, 'prec': 20, 'unit': 2831394887156214350842282346203, 'val': 1}
  • id: 174880
    {'lmfdb_iso': '4800.c', 'p': 43, 'prec': 20, 'unit': 4609275093527847327095754025826, 'val': 1}
  • id: 174883
    {'lmfdb_iso': '4800.c', 'p': 47, 'prec': 20, 'unit': 41120744595841648483563611263707, 'val': 1}
  • id: 174885
    {'lmfdb_iso': '4800.c', 'p': 53, 'prec': 20, 'unit': 569337987496885828895930853279570, 'val': 1}
  • id: 174890
    {'lmfdb_iso': '4800.c', 'p': 61, 'prec': 20, 'unit': 4165539491122918553966156294573159, 'val': 1}
  • id: 174876
    {'lmfdb_iso': '4800.c', 'p': 67, 'prec': 20, 'unit': 24552548922866815054750709399025388, 'val': 1}
  • id: 174888
    {'lmfdb_iso': '4800.c', 'p': 71, 'prec': 20, 'unit': 130225840666168505109931721595842565, 'val': 1}
  • id: 174889
    {'lmfdb_iso': '4800.c', 'p': 79, 'prec': 20, 'unit': 512725374605001613102327131862395586, 'val': 1}
  • id: 174875
    {'lmfdb_iso': '4800.c', 'p': 83, 'prec': 20, 'unit': 1194817262605143532470664211727077896, 'val': 1}
  • id: 174887
    {'lmfdb_iso': '4800.c', 'p': 89, 'prec': 20, 'unit': 1888403435254445711726418822879309891, 'val': 1}
  • id: 174874
    {'lmfdb_iso': '4800.c', 'p': 97, 'prec': 20, 'unit': 33737990783374907633068777039116277771, 'val': 1}