Elliptic curve data - 3150.bh2

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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': '3150y', 'Clabel': '3150y2', 'Cnumber': 2, 'abc_quality': 1.1038759097637456, 'absD': 381341586150000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [1, -1, 1, -80105, 30985897], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3150, 'degree': 53760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0568983775614594141059897580', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [-134745327251163, 903920796800], 'lmfdb_iso': '3150.bh', 'lmfdb_label': '3150.bh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3204, 248528], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '280.6.0.?', '420.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.13332106277226786407418611785', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 6, 350], [5, 18, 18], [7, 8, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97752634917738180395679878216', 'prec': 103}, 'szpiro_ratio': 5.961390153163044, '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, 1, 0, 1, 0, 0, 1, 1, 0, 0, -4, 0, -6, 1, 0, 1, -4, 0, 6, 0], 'aplist': [1, 0, 0, 1, -4, -6, -4, 6, 0, -6, -4, -8, 10, 2, -10, -14, -4, -8, -6, -2, 10, 16, 8, 2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 3150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3150.bh', 'trace_hash': 1790201724933362437}
• 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': '0.016345596336677571852264784330', 'prec': 107}, 'conductor': 3150, 'gens': [[-91, 6170, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.13332106277226786407418611785', 'prec': 103}], 'lmfdb_label': '3150.bh2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25905218421302592819252394901', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8351957517861099152552829252777602254', 'prec': 130}, 'tamagawa_product': 560, 'torsion_generators': [[-1589, 1585, 2]], 'xcoord_integral_points': [-385, -161, -91, 203, 259, 659, 889, 31759]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': 'a', '5': 'a', '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3150.bh2'}
• ec_torsion_growth •

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

  
  
  • id: 164056
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '3150.bh2', 'torsion': [2, 2]}
  • id: 164057
    {'degree': 4, 'field': [-24, 0, -18, 0, 1], 'lmfdb_label': '3150.bh2', 'torsion': [4]}
  • id: 164060
    {'degree': 8, 'field': [105, 105, 0, -15, 0, -15, 6, -3, 1], 'lmfdb_label': '3150.bh2', 'torsion': [6]}
  • id: 164059
    {'degree': 8, 'field': [2401, 0, 490, 0, 18, 0, 10, 0, 1], 'lmfdb_label': '3150.bh2', 'torsion': [2, 4]}
  • id: 164058
    {'degree': 8, 'field': [10000, 0, 2080, 0, 126, 0, -8, 0, 1], 'lmfdb_label': '3150.bh2', 'torsion': [2, 4]}
  • id: 164061
    {'degree': 16, 'field': [2116, 0, 266360, 0, 42476, 0, 211400, 0, -14819, 0, -2870, 0, -154, 0, 10, 0, 1], 'lmfdb_label': '3150.bh2', 'torsion': [8]}
  • id: 164062
    {'degree': 16, 'field': [9216, 0, 64512, 0, 39168, 0, 52704, 0, 12000, 0, 24, 0, -12, 0, 12, 0, 1], 'lmfdb_label': '3150.bh2', '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: 56773
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '3150.bh2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 56774
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3150.bh2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 56775
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '3150.bh2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 56776
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '3150.bh2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
• ec_galrep •

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

  
  
  • id: 1684416
    {'adelic_gens': [[837, 4, 836, 5], [284, 1, 559, 0], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [241, 4, 482, 9], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 3150, 'lmfdb_label': '3150.bh2', 'prime': 0}
  • id: 15729
    {'conductor': 3150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3150.bh2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 103292
    {'lmfdb_iso': '3150.bh', 'p': 11, 'prec': 20, 'unit': 28089295968629473224, 'val': 1}
  • id: 103298
    {'lmfdb_iso': '3150.bh', 'p': 13, 'prec': 20, 'unit': 384263982803888385331, 'val': 1}
  • id: 103300
    {'lmfdb_iso': '3150.bh', 'p': 17, 'prec': 20, 'unit': 130717079014228714106836, 'val': 1}
  • id: 103301
    {'lmfdb_iso': '3150.bh', 'p': 19, 'prec': 20, 'unit': 1180319164484557343854952, 'val': 1}
  • id: 103297
    {'lmfdb_iso': '3150.bh', 'p': 29, 'prec': 20, 'unit': 270376531872833020342733039, 'val': 1}
  • id: 103309
    {'lmfdb_iso': '3150.bh', 'p': 31, 'prec': 20, 'unit': 8537068380021759806725094472, 'val': 1}
  • id: 103293
    {'lmfdb_iso': '3150.bh', 'p': 37, 'prec': 20, 'unit': 30059588581070781795638477723, 'val': 1}
  • id: 103295
    {'lmfdb_iso': '3150.bh', 'p': 41, 'prec': 20, 'unit': 983531903343847854272404507870, 'val': 1}
  • id: 103296
    {'lmfdb_iso': '3150.bh', 'p': 43, 'prec': 20, 'unit': 2653607838005481291923506710452, 'val': 1}
  • id: 103307
    {'lmfdb_iso': '3150.bh', 'p': 47, 'prec': 20, 'unit': 51195514195475550587372527565283, 'val': 1}
  • id: 103302
    {'lmfdb_iso': '3150.bh', 'p': 53, 'prec': 20, 'unit': 180927904959334827421616060107887, 'val': 1}
  • id: 103303
    {'lmfdb_iso': '3150.bh', 'p': 59, 'prec': 20, 'unit': 2215800575525128329584000898815857, 'val': 1}
  • id: 103308
    {'lmfdb_iso': '3150.bh', 'p': 61, 'prec': 20, 'unit': 7067467372843692401816604334813628, 'val': 1}
  • id: 103291
    {'lmfdb_iso': '3150.bh', 'p': 67, 'prec': 20, 'unit': 4590679912157963380513460426543057, 'val': 1}
  • id: 103294
    {'lmfdb_iso': '3150.bh', 'p': 71, 'prec': 20, 'unit': 102148563894403238671816463756006949, 'val': 1}
  • id: 103304
    {'lmfdb_iso': '3150.bh', 'p': 73, 'prec': 20, 'unit': 59277051772014174367869234406003834, 'val': 1}
  • id: 103299
    {'lmfdb_iso': '3150.bh', 'p': 79, 'prec': 20, 'unit': 604179915174482503766636100633978958, 'val': 1}
  • id: 103305
    {'lmfdb_iso': '3150.bh', 'p': 83, 'prec': 20, 'unit': 2476329163847146083418611226969825977, 'val': 1}
  • id: 103306
    {'lmfdb_iso': '3150.bh', 'p': 89, 'prec': 20, 'unit': 6372426346086673899142111709230586710, 'val': 1}
  • id: 103290
    {'lmfdb_iso': '3150.bh', 'p': 97, 'prec': 20, 'unit': 33870489192254963849335513019403890249, 'val': 1}