Elliptic curve data - 1776.i2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1776h', 'Clabel': '1776h1', 'Cnumber': 1, 'abc_quality': 0.941926502532627, 'absD': 5328, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, 1, 0, -13, 14], 'analytic_rank': 1, 'bad_primes': [2, 3, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1776, 'degree': 96, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.49404049700587282078945881598', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [16384000, 333], 'lmfdb_iso': '1776.i', 'lmfdb_label': '1776.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -14], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5340663691763685664391588403', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 37], [3, 4, 592], [37, 38, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72508955719252125726186952313', 'prec': 97}, 'szpiro_ratio': 2.590764023817261, '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, 0, 0, -6, 0], 'aplist': [0, 1, 0, 0, -4, -2, 0, -6, -8, 8, -6, -1, 2, 6, 0, 2, 0, 2, -8, 0, -6, 10, 12, -12, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 1776, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1776.i', 'trace_hash': 1966393257847157618}
• 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': '2.6860749294612476099164433732', 'prec': 97}, 'conductor': 1776, 'gens': [[-2, 6, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5340663691763685664391588403', 'prec': 97}], 'lmfdb_label': '1776.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '4.2951336389718570852765534240', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2945100333324201272835998642574523764', 'prec': 127}, 'tamagawa_product': 2, 'torsion_generators': [[2, 0, 1]], 'xcoord_integral_points': [-2, 2]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [10, 0], '5': [1, 1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '1776.i2'}
• ec_torsion_growth •

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

  
  
  • id: 90131
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '1776.i2', 'torsion': [2, 2]}
  • id: 90132
    {'degree': 4, 'field': [6, 0, -8, -2, 1], 'lmfdb_label': '1776.i2', 'torsion': [4]}
  • id: 90135
    {'degree': 8, 'field': [-4800, 0, 1988, 0, -240, 0, 0, 0, 1], 'lmfdb_label': '1776.i2', 'torsion': [6]}
  • id: 90133
    {'degree': 8, 'field': [9, 0, 1078, 0, -241, 0, 14, 0, 1], 'lmfdb_label': '1776.i2', 'torsion': [2, 4]}
  • id: 90134
    {'degree': 8, 'field': [81, 0, -210, 0, 151, 0, -26, 0, 1], 'lmfdb_label': '1776.i2', 'torsion': [2, 4]}
  • id: 90136
    {'degree': 16, 'field': [-11772, -140832, -15264, 713376, 666168, -312912, -491184, -25872, 101392, 18112, -7376, -2240, 148, 184, -8, -8, 1], 'lmfdb_label': '1776.i2', 'torsion': [8]}
  • id: 90137
    {'degree': 16, 'field': [729, 0, 116424, 0, -33930, 0, 3024, 0, -5169, 0, 1904, 0, -258, 0, 0, 0, 1], 'lmfdb_label': '1776.i2', '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: 28513
    {'conductor': 1776, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1776.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 28514
    {'conductor': 1776, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1776.i2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 28515
    {'conductor': 1776, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1776.i2', 'prime': 37, '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: 1675636
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [337, 112, 332, 111], [149, 4, 298, 9], [441, 4, 440, 5], [374, 1, 35, 0]], 'adelic_image': '444.12.0.?', 'conductor': 1776, 'lmfdb_label': '1776.i2', 'prime': 0}
  • id: 8710
    {'conductor': 1776, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1776.i2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 49928
    {'lmfdb_iso': '1776.i', 'p': 11, 'prec': 20, 'unit': 13376654799238529635, 'val': 1}
  • id: 49930
    {'lmfdb_iso': '1776.i', 'p': 13, 'prec': 20, 'unit': 62991216039513481088, 'val': 1}
  • id: 49933
    {'lmfdb_iso': '1776.i', 'p': 19, 'prec': 20, 'unit': 122088979111989312890607, 'val': 1}
  • id: 49936
    {'lmfdb_iso': '1776.i', 'p': 23, 'prec': 20, 'unit': 41488298256522851100261219, 'val': 1}
  • id: 49929
    {'lmfdb_iso': '1776.i', 'p': 29, 'prec': 20, 'unit': 5672707428727222677694184501, 'val': 1}
  • id: 49939
    {'lmfdb_iso': '1776.i', 'p': 31, 'prec': 20, 'unit': 295138369813819184395398925, 'val': 2}
  • id: 49927
    {'lmfdb_iso': '1776.i', 'p': 41, 'prec': 20, 'unit': 3859723600907797146291803530117, 'val': 1}
  • id: 49932
    {'lmfdb_iso': '1776.i', 'p': 43, 'prec': 20, 'unit': 6648731914598842371615094413013, 'val': 1}
  • id: 49934
    {'lmfdb_iso': '1776.i', 'p': 53, 'prec': 20, 'unit': 91276814182839591759187036941148, 'val': 1}
  • id: 49938
    {'lmfdb_iso': '1776.i', 'p': 61, 'prec': 20, 'unit': 8093640634093052214203575140966201, 'val': 1}
  • id: 49926
    {'lmfdb_iso': '1776.i', 'p': 67, 'prec': 20, 'unit': 20250530306857092719202380765849628, 'val': 1}
  • id: 49935
    {'lmfdb_iso': '1776.i', 'p': 73, 'prec': 20, 'unit': 71969884441079578518535511200337359, 'val': 1}
  • id: 49931
    {'lmfdb_iso': '1776.i', 'p': 79, 'prec': 20, 'unit': 1034206221619317343337056053531304756, 'val': 1}
  • id: 49925
    {'lmfdb_iso': '1776.i', 'p': 83, 'prec': 20, 'unit': 773090745172213907325092607116519989, 'val': 1}
  • id: 49937
    {'lmfdb_iso': '1776.i', 'p': 89, 'prec': 20, 'unit': 7940453924019944329782020738647272049, 'val': 1}
  • id: 49924
    {'lmfdb_iso': '1776.i', 'p': 97, 'prec': 20, 'unit': 11463534510881323706005794443893662974, 'val': 1}