Elliptic curve data - 58800.o2

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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': '58800bf', 'Clabel': '58800bf6', 'Cnumber': 6, 'abc_quality': 0.9864758879980504, 'absD': 216180037500000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, -1, 0, -7938408, -8577152688], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 58800, 'degree': 2359296, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7595836454491589006192739990', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [14695548366242, 57421875], 'lmfdb_iso': '58800.o', 'lmfdb_label': '58800.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6480, -202272], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.8', '24.24.0.bj.1', '40.24.0-8.n.1.7', '48.48.0-24.bj.1.6', '56.24.0.bu.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34652469919116886046708851599', 'prec': 103}, 'szpiro_ratio': 5.3975440093872935, '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, 0, 0, 1, 0, -4, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, 0, -4, -2, 2, 4, 0, -2, 8, 2, -2, 4, 0, 10, -12, -6, 12, 0, -6, 8, -4, -2, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 58800, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '58800.o', 'trace_hash': 242925523338694328}
• 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': '0.0040091850373537217737191886734', 'prec': 110}, 'conductor': 58800, 'gens': [], 'heights': [], 'lmfdb_label': '58800.o2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.089963898621968218962340453160', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4394223779514915033974472505631558112', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1703, 0, 1]], 'xcoord_integral_points': [-1703]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '58800.o2'}
• ec_torsion_growth •

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

  
  
  • id: 2825269
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [2, 2]}
  • id: 2825271
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '58800.o2', 'torsion': [4]}
  • id: 2825270
    {'degree': 2, 'field': [210, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [4]}
  • id: 2825274
    {'degree': 4, 'field': [15, -15, 4, -1, 1], 'lmfdb_label': '58800.o2', 'torsion': [8]}
  • id: 2825273
    {'degree': 4, 'field': [36, 0, -2, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [8]}
  • id: 2825272
    {'degree': 4, 'field': [219, -6, 7, -2, 1], 'lmfdb_label': '58800.o2', 'torsion': [2, 4]}
  • id: 2825279
    {'degree': 8, 'field': [-3675, 0, -4760, 0, 210, 0, 0, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [6]}
  • id: 2825275
    {'degree': 8, 'field': [36, 0, 0, 0, -852, 0, 0, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [2, 4]}
  • id: 2825277
    {'degree': 8, 'field': [235, -310, 601, -382, 318, -74, 13, -2, 1], 'lmfdb_label': '58800.o2', 'torsion': [2, 8]}
  • id: 2825278
    {'degree': 8, 'field': [44100, 0, 5880, 0, 266, 0, -28, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [16]}
  • id: 2825276
    {'degree': 8, 'field': [1560001, 0, -161420, 0, 7398, 0, -140, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [8]}
  • id: 2825286
    {'degree': 16, 'field': [2835, -11340, 34020, -45990, 45990, -1890, 1996, -3994, 4101, -5326, 5224, -222, -26, 134, 6, -4, 1], 'lmfdb_label': '58800.o2', 'torsion': [12]}
  • id: 2825283
    {'degree': 16, 'field': [614656, 0, 5531904, 0, 32697504, 0, 8791776, 0, 1388660, 0, 95256, 0, 4074, 0, 84, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [2, 16]}
  • id: 2825280
    {'degree': 16, 'field': [7924225, 0, 3447920, 0, -120704, 0, -115912, 0, 19774, 0, 464, 0, -176, 0, 8, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [4, 4]}
  • id: 2825281
    {'degree': 16, 'field': [34047225, 0, -34311780, 0, 15949086, 0, -3409248, 0, 439999, 0, -36584, 0, 2034, 0, -68, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [2, 8]}
  • id: 2825284
    {'degree': 16, 'field': [546577641, 0, -459155808, 0, 44954308, 0, 2610384, 0, -872130, 0, -16576, 0, 1428, 0, -48, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [2, 6]}
  • id: 2825282
    {'degree': 16, 'field': [31116960000, 0, -622339200, 0, 889056, 0, 10816848, 0, -351036, 0, 1764, 0, 1134, 0, -42, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [16]}
  • id: 2825285
    {'degree': 16, 'field': [31118018409, 0, -5761770288, 0, 564930340, 0, -27340896, 0, 776190, 0, -12784, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '58800.o2', 'torsion': [12]}
• 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: 1414385
    {'conductor': 58800, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '58800.o2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1414386
    {'conductor': 58800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58800.o2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1414387
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '58800.o2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1414388
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '58800.o2', 'prime': 7, '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: 2054349
    {'adelic_gens': [[5, 4, 1676, 1677], [428, 425, 843, 842], [1, 16, 0, 1], [1665, 16, 1664, 17], [1034, 1259, 471, 830], [15, 2, 1582, 1667], [568, 1, 1199, 10], [1343, 1664, 664, 1551], [1, 0, 16, 1], [227, 1664, 1216, 315]], 'adelic_image': '1680.192.1.?', 'conductor': 58800, 'lmfdb_label': '58800.o2', 'prime': 0}
  • id: 249121
    {'conductor': 58800, 'elladic_image': '16.24.0.4', 'lmfdb_label': '58800.o2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 58800.o does not appear in ec_padic