Elliptic curve data - 203840.ez4

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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': '203840cs', 'Clabel': '203840cs1', 'Cnumber': 1, 'abc_quality': 0.895954553441358, 'absD': 66402479227535360, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -732321, 241138241], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 203840, 'degree': 2654208, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1275140568047527861662897505', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1408317602329, 2153060], 'lmfdb_iso': '203840.ez', 'lmfdb_label': '203840.ez4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -234, 1352], 'min_quad_twist_disc': 56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.11', '56.6.0.d.1', '130.6.0.?', '168.48.0.?', '390.24.0.?', '780.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3185], [3, 2, 15680], [5, 6, 40768], [7, 32, 4160], [13, 14, 15680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11483821143717816948776519659', 'prec': 103}, 'szpiro_ratio': 4.2638151772437025, '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, 2, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, -2, 0], 'aplist': [0, 2, -1, 0, 0, 1, 0, -2, 6, -6, 8, 10, 12, -4, 0, 12, -6, 2, -4, 6, 10, 16, 0, 12, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 203840, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '203840.ez', 'trace_hash': 25614487064393456}
• 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': '0.014192691732175656429959282823', 'prec': 107}, 'conductor': 203840, 'gens': [], 'heights': [], 'lmfdb_label': '203840.ez4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.34782496651983333146763681449', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1738995982379999776116417739366856721', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[509, 0, 1]], 'xcoord_integral_points': [509]}
• lmfdb_label 203840.ez4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8928870
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '203840.ez4', 'torsion': [2, 2]}
  • id: 8928871
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '203840.ez4', 'torsion': [6]}
  • id: 8928873
    {'degree': 4, 'field': [-10, 60, -59, -2, 1], 'lmfdb_label': '203840.ez4', 'torsion': [2, 6]}
  • id: 8928872
    {'degree': 4, 'field': [1, -2, -11, -2, 1], 'lmfdb_label': '203840.ez4', 'torsion': [12]}
  • id: 8928874
    {'degree': 6, 'field': [42, 0, 112, 0, 14, 0, 1], 'lmfdb_label': '203840.ez4', 'torsion': [6]}
  • id: 8928876
    {'degree': 8, 'field': [-3199, -7616, -4962, 444, 1163, 116, -62, -4, 1], 'lmfdb_label': '203840.ez4', 'torsion': [2, 12]}
  • id: 8928875
    {'degree': 8, 'field': [141766, 115872, 51765, 10142, 989, -172, -25, -2, 1], 'lmfdb_label': '203840.ez4', 'torsion': [2, 4]}
  • id: 8928877
    {'degree': 12, 'field': [1764, 0, -4704, 0, 11956, 0, -1484, 0, 84, 0, -14, 0, 1], 'lmfdb_label': '203840.ez4', 'torsion': [3, 6]}
  • id: 8928878
    {'degree': 12, 'field': [93842554, 12472148, -11532018, -1817240, 754000, 177408, -45779, -11046, 2265, 320, -53, -6, 1], 'lmfdb_label': '203840.ez4', 'torsion': [2, 6]}
  • id: 8928879
    {'degree': 16, 'field': [28561, -114244, 48334, 310960, -663065, 908856, -671866, 19292, 335000, -195916, 30514, 3448, -1649, 216, -22, -4, 1], 'lmfdb_label': '203840.ez4', 'torsion': [24]}
  • id: 8928880
    {'degree': 16, 'field': [7999922576, 14217241984, 12323507680, 6512577728, 2281948168, 504181632, 55716176, -5486688, -2652215, -379784, 42702, 10268, 2007, -268, -2, -4, 1], 'lmfdb_label': '203840.ez4', 'torsion': [2, 12]}
  • id: 8928881
    {'degree': 18, 'field': [185426694544, -171163102656, -32915981280, 49928600176, 2839455528, -6764053296, -81406052, 565824168, -25324572, -30662380, 3764292, 1049412, -219903, -23436, 6534, 454, -117, -6, 1], 'lmfdb_label': '203840.ez4', 'torsion': [18]}
• 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: 5049058
    {'conductor': 203840, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '203840.ez4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5049059
    {'conductor': 203840, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '203840.ez4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5049060
    {'conductor': 203840, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '203840.ez4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5049061
    {'conductor': 203840, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '203840.ez4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2969459
    {'adelic_gens': [[10, 3, 4341, 10912], [11, 2, 10870, 10911], [3119, 10908, 7794, 10847], [1, 0, 12, 1], [7289, 2, 1878, 13], [10909, 12, 10908, 13], [1, 6, 6, 37], [9250, 3, 6693, 10912], [1, 12, 0, 1], [5001, 3182, 7714, 5899], [5459, 10908, 10914, 10847]], 'adelic_image': '10920.96.1.?', 'conductor': 203840, 'lmfdb_label': '203840.ez4', 'prime': 0}
  • id: 754531
    {'conductor': 203840, 'elladic_image': '2.3.0.1', 'lmfdb_label': '203840.ez4', 'modell_image': '2B', 'prime': 2}
  • id: 754532
    {'conductor': 203840, 'elladic_image': '3.4.0.1', 'lmfdb_label': '203840.ez4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 203840.ez does not appear in ec_padic