Elliptic curve data - 95550.cs4

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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': '95550bn', 'Clabel': '95550bn3', 'Cnumber': 3, 'abc_quality': 1.0084981242776025, 'absD': 132331689060666322500000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 7280, 'ainvs': [1, 1, 0, -429632025, -3382822654875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 95550, 'degree': 37748736, 'elladic_images': ['8.48.0.44'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8145251424151977440814716747', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 4], 'jinv': [4770955732122964500481, 71987251059360000], 'lmfdb_iso': '95550.cs', 'lmfdb_label': '95550.cs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -350720, 78749345], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.48.0.b.2', '40.96.0-8.b.2.6', '56.96.1.n.1', '104.96.0.?', '140.48.0.?', '280.192.1.?', '520.192.1.?', '728.192.1.?', '1040.384.5.?', '3640.384.5.?', '7280.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.6487710764496851442223578883', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 4, 31850], [5, 18, 3822], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0368511116704909042284156364', 'prec': 100}, 'szpiro_ratio': 6.213168740660053, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, 0, 1, 0, -1, 1, 0, 4, -1, 1, 0, 0, 1, 2, -1, 4, 0], 'aplist': [-1, -1, 0, 0, 4, 1, 2, 4, 0, -2, -8, -6, 6, -4, 0, -6, 12, 2, -4, 0, 10, 0, 4, -10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 95550, 'isogeny_matrix': [[1, 16, 2, 4, 8, 8, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [2, 8, 1, 2, 4, 4, 8, 2], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [8, 8, 4, 2, 4, 1, 8, 8], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 2, 4, 8, 8, 16, 1]], 'lmfdb_iso': '95550.cs', 'trace_hash': 1024410636524864381}
• 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': '0.00048612231691725876558271188565', 'prec': 113}, 'conductor': 95550, 'gens': [[47818805, 330648563410, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.6487710764496851442223578883', 'prec': 100}], 'lmfdb_label': '95550.cs4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.033191155954534729977887599281', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5930033538161714147607377774871346518', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-13070, 6535, 1], [-10830, 5415, 1]], 'xcoord_integral_points': [-13070, -10830, 47818805]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [3, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [3, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '95550.cs4'}
• ec_torsion_growth •

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

  
  
  • id: 4449208
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 4]}
  • id: 4449207
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 4]}
  • id: 4449210
    {'degree': 4, 'field': [79, 53, 8, -1, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 8]}
  • id: 4449209
    {'degree': 4, 'field': [81, 0, -17, 0, 1], 'lmfdb_label': '95550.cs4', 'torsion': [4, 4]}
  • id: 4449214
    {'degree': 8, 'field': [-590014, -53771, 56462, -5383, 2695, -7, 7, -4, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 6]}
  • id: 4449213
    {'degree': 8, 'field': [569, 668, -408, -484, 153, 104, -30, -4, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 8]}
  • id: 4449211
    {'degree': 8, 'field': [6241, 0, 1545, 0, 328, 0, -15, 0, 1], 'lmfdb_label': '95550.cs4', 'torsion': [4, 8]}
  • id: 4449212
    {'degree': 8, 'field': [60446, -18620, -3778, 1680, 423, -140, 2, 0, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 8]}
  • id: 4449215
    {'degree': 16, 'field': [256, 0, 0, 0, 112, 0, 0, 0, 753, 0, 0, 0, 7, 0, 0, 0, 1], 'lmfdb_label': '95550.cs4', 'torsion': [4, 8]}
  • id: 4449216
    {'degree': 16, 'field': [15876, -116424, 322812, -383880, 131618, 40800, 33910, -31116, -2819, 5056, 674, -524, -216, 112, 4, -8, 1], 'lmfdb_label': '95550.cs4', 'torsion': [4, 8]}
  • id: 4449218
    {'degree': 16, 'field': [218803264, 0, -106265693, 0, -5509670, 0, 5082069, 0, 644235, 0, 35481, 0, 2143, 0, 70, 0, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 12]}
  • id: 4449219
    {'degree': 16, 'field': [218803264, 0, 106265693, 0, -5509670, 0, -5082069, 0, 644235, 0, -35481, 0, 2143, 0, -70, 0, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 12]}
  • id: 4449217
    {'degree': 16, 'field': [447255461, -303353336, 383554708, -172146112, 116605326, -40004856, 19186880, -5510936, 2022879, -471992, 137800, -25608, 5906, -784, 132, -8, 1], 'lmfdb_label': '95550.cs4', 'torsion': [2, 16]}
• 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: 2342055
    {'conductor': 95550, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '95550.cs4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2342056
    {'conductor': 95550, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '95550.cs4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2342057
    {'conductor': 95550, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '95550.cs4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2342058
    {'conductor': 95550, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '95550.cs4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2342059
    {'conductor': 95550, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '95550.cs4', 'prime': 13, 'reduction_type': 1, '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: 2292803
    {'adelic_gens': [[6385, 8, 328, 4725], [1, 16, 8, 129], [6385, 76, 6904, 5375], [2805, 4, 4436, 7245], [1, 16, 0, 1], [3119, 7268, 0, 7279], [2899, 7268, 4276, 7195], [7265, 16, 7264, 17], [1, 0, 16, 1], [1, 8, 0, 1]], 'adelic_image': '7280.768.13.?', 'conductor': 95550, 'lmfdb_label': '95550.cs4', 'prime': 0}
  • id: 385716
    {'conductor': 95550, 'elladic_image': '8.48.0.44', 'lmfdb_label': '95550.cs4', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4966807
    {'lmfdb_iso': '95550.cs', 'p': 11, 'prec': 20, 'unit': 358774996224978006, 'val': 1}
  • id: 4966805
    {'lmfdb_iso': '95550.cs', 'p': 17, 'prec': 20, 'unit': 47812363098041826586633, 'val': 1}
  • id: 4966810
    {'lmfdb_iso': '95550.cs', 'p': 19, 'prec': 20, 'unit': 1730157863498809960579869, 'val': 1}
  • id: 4966808
    {'lmfdb_iso': '95550.cs', 'p': 29, 'prec': 20, 'unit': 2171258216550235380776180843, 'val': 1}
  • id: 4966816
    {'lmfdb_iso': '95550.cs', 'p': 31, 'prec': 20, 'unit': 934701838592305392687010071, 'val': 1}
  • id: 4966804
    {'lmfdb_iso': '95550.cs', 'p': 37, 'prec': 20, 'unit': 235749657483979414081991225059, 'val': 1}
  • id: 4966806
    {'lmfdb_iso': '95550.cs', 'p': 41, 'prec': 20, 'unit': 3063476310142009931675360031369, 'val': 1}
  • id: 4966809
    {'lmfdb_iso': '95550.cs', 'p': 43, 'prec': 20, 'unit': 10267985504855182693680188017924, 'val': 1}
  • id: 4966811
    {'lmfdb_iso': '95550.cs', 'p': 53, 'prec': 20, 'unit': 565975379465979485823143040956432, 'val': 1}
  • id: 4966814
    {'lmfdb_iso': '95550.cs', 'p': 59, 'prec': 20, 'unit': 1392990179767273964775650761573874, 'val': 1}
  • id: 4966815
    {'lmfdb_iso': '95550.cs', 'p': 61, 'prec': 20, 'unit': 7668118958299416518727319818941586, 'val': 1}
  • id: 4966803
    {'lmfdb_iso': '95550.cs', 'p': 67, 'prec': 20, 'unit': 44219622904598269265756064665757058, 'val': 1}
  • id: 4966812
    {'lmfdb_iso': '95550.cs', 'p': 73, 'prec': 20, 'unit': 151890204875863289770654270945313386, 'val': 1}
  • id: 4966802
    {'lmfdb_iso': '95550.cs', 'p': 83, 'prec': 20, 'unit': 1506219798624394047195601444504109494, 'val': 1}
  • id: 4966813
    {'lmfdb_iso': '95550.cs', 'p': 89, 'prec': 20, 'unit': 9206803866511125936749147130467042068, 'val': 1}
  • id: 4966801
    {'lmfdb_iso': '95550.cs', 'p': 97, 'prec': 20, 'unit': 3300482041267532867781832944321826549, 'val': 1}