Elliptic curve data - 87360.l2

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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': '87360a', 'Clabel': '87360a2', 'Cnumber': 2, 'abc_quality': 0.8568854585132527, 'absD': 68685926400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, -1, 0, -1321, -13079], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 81920, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78752725180094240064063579202', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [62287505344, 16769025], 'lmfdb_iso': '87360.l', 'lmfdb_label': '87360.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -330, 1800], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '52.12.0-2.a.1.1', '104.24.0.?', '140.12.0.?', '280.24.0.?', '1820.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4441533436602999237708030868', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.094380071240997091223403670562', 'prec': 107}, 'szpiro_ratio': 2.915573649695146, '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, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, -1, -1, -1, 0, -1, 2, 4, -8, 2, 8, 2, 6, 4, -8, -10, 12, -10, 12, 0, 2, -4, -16, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 87360, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '87360.l', 'trace_hash': 1806083348491439025}
• 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': '0.20699627033138128892446662735', 'prec': 103}, 'conductor': 87360, 'gens': [[-24, 65, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4441533436602999237708030868', 'prec': 100}], 'lmfdb_label': '87360.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.80780266108949263670852131959', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6663636561203153960629577962057663694', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-11, 0, 1], [41, 0, 1]], 'xcoord_integral_points': [-29, -24, -15, -11, 41, 61, 223, 8372221]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '87360.l2'}
• ec_torsion_growth •

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

  
  
  • id: 4089570
    {'degree': 4, 'field': [49, 0, 12, 0, 1], 'lmfdb_label': '87360.l2', 'torsion': [2, 4]}
  • id: 4089569
    {'degree': 4, 'field': [289, 0, 36, 0, 1], 'lmfdb_label': '87360.l2', 'torsion': [2, 4]}
  • id: 4089571
    {'degree': 4, 'field': [4419, 146, -145, -2, 1], 'lmfdb_label': '87360.l2', 'torsion': [2, 4]}
  • id: 4089572
    {'degree': 8, 'field': [-85683, 0, -29744, 0, -1014, 0, 0, 0, 1], 'lmfdb_label': '87360.l2', 'torsion': [2, 6]}
  • id: 4089576
    {'degree': 16, 'field': [-576805519, 5756238304, -5718406196, -53739576, -21887606, 41401256, 15179008, -25770368, 7599891, -760760, 139568, 9152, -3406, 840, -100, -8, 1], 'lmfdb_label': '87360.l2', 'torsion': [2, 8]}
  • id: 4089574
    {'degree': 16, 'field': [3481, 0, 4142920, 0, 613504, 0, 1725160, 0, 1254826, 0, -36920, 0, -1856, 0, 40, 0, 1], 'lmfdb_label': '87360.l2', 'torsion': [2, 8]}
  • id: 4089575
    {'degree': 16, 'field': [240100, 0, 1764320, 0, 2923696, 0, -2994448, 0, 1176868, 0, -37744, 0, 2536, 0, -40, 0, 1], 'lmfdb_label': '87360.l2', 'torsion': [2, 8]}
  • id: 4089573
    {'degree': 16, 'field': [75751524, -49245192, 62090172, -26889672, 16435730, -3566112, 1152502, 25332, 4237, -12224, 7298, -2252, 72, 112, 4, -8, 1], 'lmfdb_label': '87360.l2', 'torsion': [4, 4]}
• 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: 2132572
    {'conductor': 87360, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '87360.l2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2132573
    {'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '87360.l2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2132574
    {'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '87360.l2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2132575
    {'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '87360.l2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2132576
    {'conductor': 87360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '87360.l2', 'prime': 13, 'reduction_type': -1, '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: 2239952
    {'adelic_gens': [[1, 0, 4, 1], [521, 4, 1042, 9], [1683, 2, 2518, 3639], [1, 4, 0, 1], [3637, 4, 3636, 5], [1457, 4, 2914, 9], [1817, 3638, 2, 1], [2729, 3638, 1818, 3635]], 'adelic_image': '3640.48.0.?', 'conductor': 87360, 'lmfdb_label': '87360.l2', 'prime': 0}
  • id: 356356
    {'conductor': 87360, 'elladic_image': '8.12.0.1', 'lmfdb_label': '87360.l2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4516266
    {'lmfdb_iso': '87360.l', 'p': 17, 'prec': 20, 'unit': 187437494919439210865356, 'val': 1}
  • id: 4516258
    {'lmfdb_iso': '87360.l', 'p': 19, 'prec': 20, 'unit': 834503255617554747178049, 'val': 1}
  • id: 4516271
    {'lmfdb_iso': '87360.l', 'p': 23, 'prec': 20, 'unit': 1693573123417494105555713, 'val': 2}
  • id: 4516264
    {'lmfdb_iso': '87360.l', 'p': 29, 'prec': 20, 'unit': 4216253313856834872526729000, 'val': 1}
  • id: 4516275
    {'lmfdb_iso': '87360.l', 'p': 31, 'prec': 20, 'unit': 17898552910246720453937518490, 'val': 1}
  • id: 4516261
    {'lmfdb_iso': '87360.l', 'p': 37, 'prec': 20, 'unit': 242662688284991146636424538215, 'val': 1}
  • id: 4516262
    {'lmfdb_iso': '87360.l', 'p': 41, 'prec': 20, 'unit': 2282634348861153688988996828253, 'val': 1}
  • id: 4516263
    {'lmfdb_iso': '87360.l', 'p': 43, 'prec': 20, 'unit': 9655822373756429558968827684769, 'val': 1}
  • id: 4516273
    {'lmfdb_iso': '87360.l', 'p': 47, 'prec': 20, 'unit': 21496735688236232766001809168041, 'val': 1}
  • id: 4516268
    {'lmfdb_iso': '87360.l', 'p': 53, 'prec': 20, 'unit': 553183942592984953885784472865117, 'val': 1}
  • id: 4516269
    {'lmfdb_iso': '87360.l', 'p': 59, 'prec': 20, 'unit': 1958915412044156615292322943567816, 'val': 1}
  • id: 4516274
    {'lmfdb_iso': '87360.l', 'p': 61, 'prec': 20, 'unit': 7366363324876182369619901579867759, 'val': 1}
  • id: 4516260
    {'lmfdb_iso': '87360.l', 'p': 67, 'prec': 20, 'unit': 15781196336123329660463894046705648, 'val': 1}
  • id: 4516270
    {'lmfdb_iso': '87360.l', 'p': 73, 'prec': 20, 'unit': 11677573438760846442327060201118441, 'val': 1}
  • id: 4516265
    {'lmfdb_iso': '87360.l', 'p': 79, 'prec': 20, 'unit': 390318686103857100857598578283549504, 'val': 1}
  • id: 4516267
    {'lmfdb_iso': '87360.l', 'p': 83, 'prec': 20, 'unit': 486117721820202859595979233072768771, 'val': 1}
  • id: 4516272
    {'lmfdb_iso': '87360.l', 'p': 89, 'prec': 20, 'unit': 6322741250599045365091927906527968618, 'val': 1}
  • id: 4516259
    {'lmfdb_iso': '87360.l', 'p': 97, 'prec': 20, 'unit': 49614545405937288157061341312976530475, 'val': 1}