Elliptic curve data - 100800.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
  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': '100800hc', 'Clabel': '100800hc1', 'Cnumber': 1, 'abc_quality': 1.212243337747202, 'absD': 153083782341504000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 0, 0, -110640, 23558600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 100800, 'degree': 1032192, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9929561305216471440486286044', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [-1605176213504, 1640558367], 'lmfdb_iso': '100800.o', 'lmfdb_label': '100800.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3073, -110092], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '70.6.0.a.1', '84.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6514125828736737642410600165', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 315], [3, 8, 1600], [5, 10, 4032], [7, 8, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46366785761244611351978938475', 'prec': 103}, 'szpiro_ratio': 4.120613385355646, '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, 0, 0, -1, 0, 0, 0, -4, 0, -6, 0, 0, 0, 2, 0, -6, 0], 'aplist': [0, 0, 0, -1, -4, -6, 2, -6, 2, 6, -2, -4, -8, -4, 4, -6, 4, -14, 4, 0, 10, 0, 16, -8, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 100800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '100800.o', 'trace_hash': 2280567087210702131}
• 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': '0.018575490894234479305483434623', 'prec': 107}, 'conductor': 100800, 'gens': [[-170, 6120, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6514125828736737642410600165', 'prec': 100}], 'lmfdb_label': '100800.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29547528045988362454883054317', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3156086279973872538117334878052070712', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-410, 0, 1]], 'xcoord_integral_points': [-410, -170]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [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': '100800.o2'}
• ec_torsion_growth •

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

  
  
  • id: 4676073
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '100800.o2', 'torsion': [2, 2]}
  • id: 4676074
    {'degree': 4, 'field': [-140, 0, 20, 0, 1], 'lmfdb_label': '100800.o2', 'torsion': [4]}
  • id: 4676077
    {'degree': 8, 'field': [-19200, 0, 600, 0, -180, 0, 10, 0, 1], 'lmfdb_label': '100800.o2', 'torsion': [6]}
  • id: 4676075
    {'degree': 8, 'field': [441, 0, -1134, 0, 1051, 0, 26, 0, 1], 'lmfdb_label': '100800.o2', 'torsion': [2, 4]}
  • id: 4676076
    {'degree': 8, 'field': [62001, 0, 9762, 0, 619, 0, -62, 0, 1], 'lmfdb_label': '100800.o2', 'torsion': [2, 4]}
  • id: 4676078
    {'degree': 16, 'field': [38416, 0, -186592, 0, 437080, 0, 19208, 0, -20951, 0, -4648, 0, -110, 0, 32, 0, 1], 'lmfdb_label': '100800.o2', 'torsion': [8]}
  • id: 4676079
    {'degree': 16, 'field': [7621290000, 0, -362475000, 0, -95431500, 0, 4857000, 0, 336000, 0, -14700, 0, -200, 0, -10, 0, 1], 'lmfdb_label': '100800.o2', '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: 2474091
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '100800.o2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2474092
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '100800.o2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2474093
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '100800.o2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2474094
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '100800.o2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2326689
    {'adelic_gens': [[281, 4, 142, 9], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [1, 0, 4, 1], [109, 316, 104, 315], [3, 4, 8, 11], [88, 1, 83, 0]], 'adelic_image': '420.12.0.?', 'conductor': 100800, 'lmfdb_label': '100800.o2', 'prime': 0}
  • id: 404973
    {'conductor': 100800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '100800.o2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5245295
    {'lmfdb_iso': '100800.o', 'p': 11, 'prec': 20, 'unit': 6786315598039706589, 'val': 1}
  • id: 5245297
    {'lmfdb_iso': '100800.o', 'p': 13, 'prec': 20, 'unit': 1454771708385184201645, 'val': 1}
  • id: 5245299
    {'lmfdb_iso': '100800.o', 'p': 17, 'prec': 20, 'unit': 25072528539702268331502, 'val': 1}
  • id: 5245300
    {'lmfdb_iso': '100800.o', 'p': 19, 'prec': 20, 'unit': 1492335570650501791333948, 'val': 1}
  • id: 5245303
    {'lmfdb_iso': '100800.o', 'p': 23, 'prec': 20, 'unit': 28970922440618108545686720, 'val': 1}
  • id: 5245296
    {'lmfdb_iso': '100800.o', 'p': 29, 'prec': 20, 'unit': 3830633929273384122027931885, 'val': 1}
  • id: 5245308
    {'lmfdb_iso': '100800.o', 'p': 31, 'prec': 20, 'unit': 3816491293195792471277761290, 'val': 1}
  • id: 5245293
    {'lmfdb_iso': '100800.o', 'p': 37, 'prec': 20, 'unit': 25797782158172892133334742450, 'val': 1}
  • id: 5245294
    {'lmfdb_iso': '100800.o', 'p': 41, 'prec': 20, 'unit': 612053001426271537591198457940, 'val': 1}
  • id: 5245292
    {'lmfdb_iso': '100800.o', 'p': 43, 'prec': 20, 'unit': 5126052875911376660299707873363, 'val': 1}
  • id: 5245298
    {'lmfdb_iso': '100800.o', 'p': 47, 'prec': 20, 'unit': 35801033617923646504562814371216, 'val': 1}
  • id: 5245301
    {'lmfdb_iso': '100800.o', 'p': 53, 'prec': 20, 'unit': 292989360915133655616339545036415, 'val': 1}
  • id: 5245305
    {'lmfdb_iso': '100800.o', 'p': 59, 'prec': 20, 'unit': 2042702372435738135358950956031422, 'val': 1}
  • id: 5245306
    {'lmfdb_iso': '100800.o', 'p': 61, 'prec': 20, 'unit': 5117859614490818424128800530273340, 'val': 1}
  • id: 5245291
    {'lmfdb_iso': '100800.o', 'p': 67, 'prec': 20, 'unit': 7607233260781795637180929723334793, 'val': 1}
  • id: 5245302
    {'lmfdb_iso': '100800.o', 'p': 73, 'prec': 20, 'unit': 240486486272211938092010572731076428, 'val': 1}
  • id: 5245307
    {'lmfdb_iso': '100800.o', 'p': 83, 'prec': 20, 'unit': 1061767358821212006834691622635328729, 'val': 1}
  • id: 5245304
    {'lmfdb_iso': '100800.o', 'p': 89, 'prec': 20, 'unit': 9271398029411369942143798117631615288, 'val': 1}
  • id: 5245290
    {'lmfdb_iso': '100800.o', 'p': 97, 'prec': 20, 'unit': 25301402674722245592738321150350033081, 'val': 1}