Elliptic curve data - 304920.bl1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '304920bl', 'Clabel': '304920bl2', 'Cnumber': 2, 'abc_quality': 0.9530727223436961, 'absD': 56006316530841600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [0, 0, 0, -305283, -63917282], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 304920, 'degree': 2949120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0095970877365170068863511461', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [1189646642, 21175], 'lmfdb_iso': '304920.bl', 'lmfdb_label': '304920.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -280, -1872], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.a.1', '220.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37404160851000631114137270601', 'prec': 107}, 'szpiro_ratio': 3.919967689484242, '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, 1, 0, 0, 0, 0, 0, -6, 0, 0, 0, 2, 0, -2, 0], 'aplist': [0, 0, -1, 1, 0, -6, 2, -2, 6, 0, 0, -4, -8, 4, 4, -8, 4, -14, 8, -12, -2, -6, 0, 2, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 304920, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '304920.bl', 'trace_hash': 1820734980534020176}
• 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': '0.017967437709456208538593909175', 'prec': 107}, 'conductor': 304920, 'gens': [], 'heights': [], 'lmfdb_label': '304920.bl1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20332605130489154671122131152', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.81330420521956618684488524609433200374', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-286, 0, 1]], 'xcoord_integral_points': [-286]}
• lmfdb_label 304920.bl1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12885132
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '304920.bl1', 'torsion': [2, 2]}
  • id: 12885133
    {'degree': 4, 'field': [504, 0, -6, 0, 1], 'lmfdb_label': '304920.bl1', 'torsion': [4]}
  • id: 12885136
    {'degree': 8, 'field': [-5808, 0, 176, 0, -264, 0, 0, 0, 1], 'lmfdb_label': '304920.bl1', 'torsion': [6]}
  • id: 12885135
    {'degree': 8, 'field': [220774, -190476, 56902, -7400, 431, 56, 42, -4, 1], 'lmfdb_label': '304920.bl1', 'torsion': [2, 4]}
  • id: 12885134
    {'degree': 8, 'field': [379456, 0, -965888, 0, -22120, 0, -112, 0, 1], 'lmfdb_label': '304920.bl1', 'torsion': [2, 4]}
  • id: 12885138
    {'degree': 16, 'field': [277955584, 0, -2620023808, 0, 469116160, 0, -80200704, 0, 4570560, 0, -168096, 0, 4960, 0, -112, 0, 1], 'lmfdb_label': '304920.bl1', 'torsion': [2, 6]}
  • id: 12885137
    {'degree': 16, 'field': [169912287616, 90158635392, 76713553984, 11739076352, -5928550144, 97359104, 597154432, -15640704, -21807648, 1809888, 273688, -93272, 506, 1246, -29, -6, 1], 'lmfdb_label': '304920.bl1', '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: 7550928
    {'conductor': 304920, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '304920.bl1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7550929
    {'conductor': 304920, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '304920.bl1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7550930
    {'conductor': 304920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '304920.bl1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7550931
    {'conductor': 304920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '304920.bl1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7550932
    {'conductor': 304920, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '304920.bl1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3580139
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [3077, 4, 3076, 5], [1, 4, 0, 1], [617, 4, 1234, 9], [1322, 1, 879, 0], [2521, 4, 1962, 9], [1156, 1929, 385, 2696], [2, 1, 1539, 0]], 'adelic_image': '3080.12.0.?', 'conductor': 304920, 'lmfdb_label': '304920.bl1', 'prime': 0}
  • id: 1072928
    {'conductor': 304920, 'elladic_image': '2.3.0.1', 'lmfdb_label': '304920.bl1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 304920.bl does not appear in ec_padic