Elliptic curve data - 203280.dg3

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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': '203280ck', 'Clabel': '203280ck7', 'Cnumber': 7, 'abc_quality': 1.0450039140149439, 'absD': 2603319888710666342891520, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -39402480, -122824554048], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 203280, 'degree': 39813120, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3943598232695792621249601154', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-932348627918877961, 358766164249920], 'lmfdb_iso': '203280.dg', 'lmfdb_label': '203280.dg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -20353, -1443724], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.2', '20.12.0.h.1', '44.12.0-4.c.1.1', '60.96.1.m.2', '132.96.0.?', '168.96.1.?', '220.24.0.?', '330.24.0.?', '660.192.1.?', '840.192.5.?', '1848.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.485446207870349815210659383', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562050', 'prec': 100}, 'szpiro_ratio': 5.284700555049611, '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, 1, 0, 1, 0, 1, 0, 0, 0, -2, 0, -1, 0, 6, 0, 8, 0], 'aplist': [0, -1, 1, 1, 0, -2, 6, 8, 0, -6, 4, -10, 6, -4, 0, -6, 12, 10, 4, -12, 10, 8, 12, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 203280, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '203280.dg', 'trace_hash': 1262944344168747887}
• 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': '0.0011264100543153071512507904974', 'prec': 110}, 'conductor': 203280, 'gens': [[395418, 99795942, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '11.485446207870349815210659383', 'prec': 100}], 'lmfdb_label': '203280.dg3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.029564772145879708319505684982', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1495504031066809736906696197482663461', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[7473, 0, 1]], 'xcoord_integral_points': [7473]}
• lmfdb_label 203280.dg3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8900669
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [4]}
  • id: 8900668
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 2]}
  • id: 8900670
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '203280.dg3', 'torsion': [4]}
  • id: 8900671
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [6]}
  • id: 8900672
    {'degree': 4, 'field': [16, 0, -3, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 4]}
  • id: 8900673
    {'degree': 4, 'field': [49, 0, 19, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 6]}
  • id: 8900674
    {'degree': 4, 'field': [121, 0, 11, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [12]}
  • id: 8900675
    {'degree': 4, 'field': [144, 0, 9, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [12]}
  • id: 8900676
    {'degree': 6, 'field': [-1106, -990, 363, -30, -33, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [12]}
  • id: 8900677
    {'degree': 8, 'field': [81, 130, 26, 30, 71, -10, 16, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 4]}
  • id: 8900680
    {'degree': 8, 'field': [256, 0, 48, 0, -7, 0, 3, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 12]}
  • id: 8900678
    {'degree': 8, 'field': [15625, 0, 1500, 0, -445, 0, -12, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [8]}
  • id: 8900679
    {'degree': 8, 'field': [155596, -42896, 46792, -7928, 4305, -412, 142, -4, 1], 'lmfdb_label': '203280.dg3', 'torsion': [8]}
  • id: 8900682
    {'degree': 12, 'field': [81046, -93870, 111771, -29970, 7275, 10710, 1035, 0, 75, -60, -9, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 12]}
  • id: 8900681
    {'degree': 12, 'field': [1223236, -1094940, 1381578, 425730, 65571, 76230, 10667, 0, 726, -60, 33, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [3, 12]}
  • id: 8900683
    {'degree': 16, 'field': [4900, 0, -2400, 0, 4740, 0, 6060, 0, 3901, 0, 1284, 0, 246, 0, 24, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [4, 4]}
  • id: 8900686
    {'degree': 16, 'field': [19881, 0, 48216, 0, 34570, 0, 5464, 0, 1899, 0, 824, 0, 150, 0, 16, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 12]}
  • id: 8900685
    {'degree': 16, 'field': [1449616, 0, 149968, 0, 331004, 0, -121188, 0, 43769, 0, -648, 0, 122, 0, -20, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 8]}
  • id: 8900684
    {'degree': 16, 'field': [169156036, 0, -79416680, 0, 39026696, 0, -5185140, 0, 384821, 0, 79320, 0, 4226, 0, 100, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [2, 8]}
  • id: 8900687
    {'degree': 16, 'field': [244140625, 0, -23437500, 0, 9203125, 0, 292500, 0, 200400, 0, -2340, 0, 589, 0, 12, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [24]}
  • id: 8900688
    {'degree': 16, 'field': [1460795400, 1556982000, 357307200, 207790800, 196746670, 23223900, 16970490, 4307800, 1174401, 120960, 50118, 2520, 204, -140, 12, 0, 1], 'lmfdb_label': '203280.dg3', 'torsion': [24]}
  • id: 8900689
    {'degree': 18, 'field': [990762237172, 588133913208, 124987175088, -35472020656, 23984491572, -2367787884, 2258089504, -388881036, 127725198, -15181288, 6428640, -470604, 211721, -5838, 5883, -30, 87, 0, 1], 'lmfdb_label': '203280.dg3', '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: 5032396
    {'conductor': 203280, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '203280.dg3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5032397
    {'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '203280.dg3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5032398
    {'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '203280.dg3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5032399
    {'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '203280.dg3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 5032400
    {'conductor': 203280, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '203280.dg3', 'prime': 11, 'reduction_type': 0, '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: 2965410
    {'adelic_gens': [[2872, 2541, 6435, 2146], [7701, 5324, 7568, 7173], [15, 106, 7934, 11], [626, 7557, 4785, 9206], [1, 12, 12, 145], [6719, 0, 0, 9239], [5281, 4224, 5412, 4489], [9217, 24, 9216, 25], [1, 24, 0, 1], [5721, 6688, 836, 4709], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 203280, 'lmfdb_label': '203280.dg3', 'prime': 0}
  • id: 752205
    {'conductor': 203280, 'elladic_image': '4.6.0.1', 'lmfdb_label': '203280.dg3', 'modell_image': '2B', 'prime': 2}
  • id: 752206
    {'conductor': 203280, 'elladic_image': '3.4.0.1', 'lmfdb_label': '203280.dg3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 203280.dg does not appear in ec_padic