Elliptic curve data - 2790.p1

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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': '2790t', 'Clabel': '2790t2', 'Cnumber': 2, 'abc_quality': 0.9986284563216552, 'absD': 333612087750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1860, 'ainvs': [1, -1, 1, -18113, 333281], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2790, 'degree': 15360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4792159291675855447095482565', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [901456690969801, 457629750000], 'lmfdb_iso': '2790.p', 'lmfdb_label': '2790.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2013, -12344], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '124.6.0.?', '1860.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1460052766478657475104835075', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 279], [3, 8, 62], [5, 6, 558], [31, 32, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.92990978483353069901192563804', 'prec': 103}, 'szpiro_ratio': 5.171131489209559, '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, -1, 0, -2, 1, 0, -1, 4, 0, -4, -2, 0, 1, -2, 0, -8, -1], 'aplist': [1, 0, -1, -2, 4, -4, -2, -8, 8, -4, -1, -12, -10, 8, 4, -6, -2, 10, -6, -6, -4, -8, -4, 0, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 2790, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2790.p', 'trace_hash': 1592538389369971057}
• 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': '0.051900240322215286722316004731', 'prec': 107}, 'conductor': 2790, 'gens': [[-75, 1162, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1460052766478657475104835075', 'prec': 100}], 'lmfdb_label': '2790.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47803969671613863877168310049', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3826881190707223986599438385118551612', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[75, -79, 2]], 'xcoord_integral_points': [-75, 151, 201]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [1, 0], '7': [3, 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': '2790.p1'}
• ec_torsion_growth •

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

  
  
  • id: 145109
    {'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '2790.p1', 'torsion': [2, 2]}
  • id: 145110
    {'degree': 4, 'field': [4, 7, 5, -1, 1], 'lmfdb_label': '2790.p1', 'torsion': [4]}
  • id: 145113
    {'degree': 8, 'field': [-96, -192, -168, -84, -60, -39, -11, -1, 1], 'lmfdb_label': '2790.p1', 'torsion': [6]}
  • id: 145112
    {'degree': 8, 'field': [900, 0, 1080, 0, 109, 0, 26, 0, 1], 'lmfdb_label': '2790.p1', 'torsion': [2, 4]}
  • id: 145111
    {'degree': 8, 'field': [13242, -11412, 9826, 3152, -1525, -64, 26, -4, 1], 'lmfdb_label': '2790.p1', 'torsion': [2, 4]}
  • id: 145114
    {'degree': 16, 'field': [6130576, 0, -1514304, 0, 469240, 0, 6444, 0, 7149, 0, -981, 0, 340, 0, -9, 0, 1], 'lmfdb_label': '2790.p1', 'torsion': [8]}
  • id: 145115
    {'degree': 16, 'field': [34539129, 0, -57340548, 0, -19311912, 0, 3174492, 0, -59334, 0, -17556, 0, 508, 0, 4, 0, 1], 'lmfdb_label': '2790.p1', '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: 49491
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2790.p1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 49492
    {'conductor': 2790, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '2790.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 49493
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2790.p1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 49494
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2790.p1', 'prime': 31, '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: 1682205
    {'adelic_gens': [[1, 0, 4, 1], [1857, 4, 1856, 5], [3, 4, 8, 11], [1, 2, 2, 5], [1396, 469, 465, 1396], [1, 4, 0, 1], [1117, 4, 374, 9], [1241, 4, 622, 9], [1742, 1, 59, 0]], 'adelic_image': '1860.12.0.?', 'conductor': 2790, 'lmfdb_label': '2790.p1', 'prime': 0}
  • id: 13969
    {'conductor': 2790, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2790.p1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 89402
    {'lmfdb_iso': '2790.p', 'p': 7, 'prec': 20, 'unit': 473680602726168, 'val': 2}
  • id: 89400
    {'lmfdb_iso': '2790.p', 'p': 11, 'prec': 20, 'unit': 20422885613474949345, 'val': 1}
  • id: 89406
    {'lmfdb_iso': '2790.p', 'p': 13, 'prec': 20, 'unit': 684331130355813900831, 'val': 1}
  • id: 89408
    {'lmfdb_iso': '2790.p', 'p': 17, 'prec': 20, 'unit': 148076058056340967139066, 'val': 1}
  • id: 89409
    {'lmfdb_iso': '2790.p', 'p': 19, 'prec': 20, 'unit': 311430138919401556712761, 'val': 1}
  • id: 89413
    {'lmfdb_iso': '2790.p', 'p': 23, 'prec': 20, 'unit': 1671137302113400712514312, 'val': 1}
  • id: 89405
    {'lmfdb_iso': '2790.p', 'p': 29, 'prec': 20, 'unit': 5802808982547615077953051223, 'val': 1}
  • id: 89401
    {'lmfdb_iso': '2790.p', 'p': 37, 'prec': 20, 'unit': 9010579635954628785142838188, 'val': 1}
  • id: 89403
    {'lmfdb_iso': '2790.p', 'p': 41, 'prec': 20, 'unit': 2584595701023156142459560834628, 'val': 1}
  • id: 89404
    {'lmfdb_iso': '2790.p', 'p': 43, 'prec': 20, 'unit': 2141898022451760550648756414484, 'val': 1}
  • id: 89416
    {'lmfdb_iso': '2790.p', 'p': 47, 'prec': 20, 'unit': 1400382505832761493359134822713, 'val': 1}
  • id: 89410
    {'lmfdb_iso': '2790.p', 'p': 53, 'prec': 20, 'unit': 552446130315309170316125422323787, 'val': 1}
  • id: 89411
    {'lmfdb_iso': '2790.p', 'p': 59, 'prec': 20, 'unit': 903274014973092124139045821744366, 'val': 1}
  • id: 89417
    {'lmfdb_iso': '2790.p', 'p': 61, 'prec': 20, 'unit': 6625415284578915147608432794495731, 'val': 1}
  • id: 89399
    {'lmfdb_iso': '2790.p', 'p': 67, 'prec': 20, 'unit': 21967676851443186443632549965456229, 'val': 1}
  • id: 89415
    {'lmfdb_iso': '2790.p', 'p': 71, 'prec': 20, 'unit': 117518358278177383907542668106632896, 'val': 1}
  • id: 89412
    {'lmfdb_iso': '2790.p', 'p': 73, 'prec': 20, 'unit': 211950655896186761018459046120075071, 'val': 1}
  • id: 89407
    {'lmfdb_iso': '2790.p', 'p': 79, 'prec': 20, 'unit': 871541554829495359098964462927625, 'val': 1}
  • id: 89414
    {'lmfdb_iso': '2790.p', 'p': 83, 'prec': 20, 'unit': 2086103399131804004788323183012770734, 'val': 1}
  • id: 89398
    {'lmfdb_iso': '2790.p', 'p': 97, 'prec': 20, 'unit': 19946908251840892994755837795871535075, 'val': 1}