Elliptic curve data - 2475.j2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2475a', 'Clabel': '2475a1', 'Cnumber': 1, 'absD': 4640625, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [1, -1, 0, -42, -9], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2475, 'degree': 320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.030545207757342157812860533751', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [19683, 11], 'lmfdb_iso': '2475.j', 'lmfdb_label': '2475.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2, 0], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '44.6.0.e.1', '66.6.0.a.1', '132.12.0.?'], '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': '1.9691882627088445047041314351', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1099172361414197679620515096', 'prec': 103}, '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, 1, 0, -1, 0, 0, 2, -3, 0, 0, -1, 0, 2, 2, 0, -1, -2, 0, -6, 0], 'aplist': [1, 0, 0, 2, -1, 2, -2, -6, -4, -6, 4, 6, -10, -6, 8, 0, 4, -6, -8, 0, 2, -10, -12, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 2475, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2475.j', 'trace_hash': 1556033467662516423}
• 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': '1.0629950210842907100643646479', 'prec': 100}, 'conductor': 2475, 'gens': [[-2, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9691882627088445047041314351', 'prec': 100}], 'lmfdb_label': '2475.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.0117692895983071037648251735', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9615524723550966494692040952638847066', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-6, 3, 1]], 'xcoord_integral_points': [-6, -2]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 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': '2475.j2'}
• ec_torsion_growth •

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

  
  
  • id: 127150
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '2475.j2', 'torsion': [2, 2]}
  • id: 127151
    {'degree': 4, 'field': [69, -30, 21, 0, 1], 'lmfdb_label': '2475.j2', 'torsion': [4]}
  • id: 127154
    {'degree': 8, 'field': [-21, -22, -26, 12, 13, 11, -6, -1, 1], 'lmfdb_label': '2475.j2', 'torsion': [6]}
  • id: 127153
    {'degree': 8, 'field': [1156, 0, 316, 0, 117, 0, 19, 0, 1], 'lmfdb_label': '2475.j2', 'torsion': [2, 4]}
  • id: 127152
    {'degree': 8, 'field': [2104, 388, -358, -44, -17, 44, -10, -4, 1], 'lmfdb_label': '2475.j2', 'torsion': [2, 4]}
  • id: 127155
    {'degree': 16, 'field': [2629, -6996, 27026, 3480, -17836, 5256, -418, -3480, 2977, 240, -734, 0, 188, -12, -20, 0, 1], 'lmfdb_label': '2475.j2', 'torsion': [8]}
  • id: 127156
    {'degree': 16, 'field': [6021, -20142, 30789, -35829, 28269, -16908, 5259, 573, -2558, 1939, -932, 236, 20, -52, 31, -8, 1], 'lmfdb_label': '2475.j2', '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: 42462
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2475.j2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 42463
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2475.j2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 42464
    {'conductor': 2475, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2475.j2', 'prime': 11, '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: 1680082
    {'adelic_gens': [[1, 2, 2, 5], [92, 1, 43, 0], [37, 100, 32, 99], [3, 4, 8, 11], [26, 1, 119, 0], [1, 4, 0, 1], [129, 4, 128, 5], [1, 0, 4, 1]], 'adelic_image': '132.12.0.?', 'conductor': 2475, 'lmfdb_label': '2475.j2', 'prime': 0}
  • id: 12305
    {'conductor': 2475, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2475.j2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 76305
    {'lmfdb_iso': '2475.j', 'p': 7, 'prec': 20, 'unit': 3735410744926764, 'val': 1}
  • id: 76309
    {'lmfdb_iso': '2475.j', 'p': 13, 'prec': 20, 'unit': 102195772394885706476, 'val': 1}
  • id: 76311
    {'lmfdb_iso': '2475.j', 'p': 17, 'prec': 20, 'unit': 237034608950884047564857, 'val': 1}
  • id: 76312
    {'lmfdb_iso': '2475.j', 'p': 19, 'prec': 20, 'unit': 13487369938273606238108, 'val': 2}
  • id: 76315
    {'lmfdb_iso': '2475.j', 'p': 23, 'prec': 20, 'unit': 7208066296824341712464727, 'val': 1}
  • id: 76308
    {'lmfdb_iso': '2475.j', 'p': 29, 'prec': 20, 'unit': 4089566414892599996367498735, 'val': 1}
  • id: 76318
    {'lmfdb_iso': '2475.j', 'p': 31, 'prec': 20, 'unit': 2440535696846265477466562793, 'val': 1}
  • id: 76304
    {'lmfdb_iso': '2475.j', 'p': 37, 'prec': 20, 'unit': 139028204515675987190709217227, 'val': 1}
  • id: 76306
    {'lmfdb_iso': '2475.j', 'p': 41, 'prec': 20, 'unit': 1205651710930267947027076453281, 'val': 1}
  • id: 76307
    {'lmfdb_iso': '2475.j', 'p': 43, 'prec': 20, 'unit': 145154350684463520617254741738, 'val': 1}
  • id: 76316
    {'lmfdb_iso': '2475.j', 'p': 47, 'prec': 20, 'unit': 11871760315470245543259996371136, 'val': 1}
  • id: 76313
    {'lmfdb_iso': '2475.j', 'p': 59, 'prec': 20, 'unit': 418676485378456744902177363513909, 'val': 1}
  • id: 76317
    {'lmfdb_iso': '2475.j', 'p': 61, 'prec': 20, 'unit': 5554179114850679380350972449401133, 'val': 1}
  • id: 76303
    {'lmfdb_iso': '2475.j', 'p': 67, 'prec': 20, 'unit': 3792464151649998517675604979208378, 'val': 1}
  • id: 76314
    {'lmfdb_iso': '2475.j', 'p': 73, 'prec': 20, 'unit': 174778724074897632314405796224312443, 'val': 1}
  • id: 76310
    {'lmfdb_iso': '2475.j', 'p': 79, 'prec': 20, 'unit': 926938617668729899594731415957048052, 'val': 1}
  • id: 76302
    {'lmfdb_iso': '2475.j', 'p': 83, 'prec': 20, 'unit': 2342489222626819596214639341576955247, 'val': 1}
  • id: 76301
    {'lmfdb_iso': '2475.j', 'p': 97, 'prec': 20, 'unit': 8872585859601195198521994680677858708, 'val': 1}