Elliptic curve data - 179520.gd4

Formats: - HTML - YAML - JSON - 2022-06-28T06:39:15.255055

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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': '179520bv', 'Clabel': '179520bv4', 'Cnumber': 4, 'absD': 377628557289701769216000, 'ainvs': [0, 1, 0, -159034081, 771320361119], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 179520, 'degree': 42467328, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4512020754179251972426445387', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 159, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1696892787277117093383481, 1440538624914939000], 'lmfdb_iso': '179520.gd', 'lmfdb_label': '179520.gd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2484908, -1506795694], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963565', 'prec': 100}, '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, 4, 0, 1, 0, 1, 0, -2, 0, -1, 0, -1, 0, -4, 0], 'aplist': [0, 1, -1, 4, 1, -2, -1, -4, 0, 6, -8, 10, 6, -4, -12, -6, 12, -2, 8, 12, 2, -8, -12, -6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 179520, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '179520.gd', 'trace_hash': 1463450231416803640}
• 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': '0.0010053654710045841132270703019', 'prec': 110}, 'conductor': 179520, 'gens': [], 'heights': [], 'lmfdb_label': '179520.gd4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.094587733752222618555120887597', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4051584150800142679843519534859419354', 'prec': 130}, 'tamagawa_product': 144, 'torsion_generators': [[7441, 0, 1]], 'xcoord_integral_points': [7441]}
• lmfdb_label 179520.gd4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7946992
    {'degree': 2, 'field': [-510, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 2]}
  • id: 7946994
    {'degree': 2, 'field': [-170, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [4]}
  • id: 7946993
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [4]}
  • id: 7946995
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [6]}
  • id: 7946998
    {'degree': 4, 'field': [1, 0, 4, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [12]}
  • id: 7946999
    {'degree': 4, 'field': [1849, 0, -84, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [12]}
  • id: 7946997
    {'degree': 4, 'field': [3846, -132, 133, -2, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 6]}
  • id: 7946996
    {'degree': 4, 'field': [7225, 0, -340, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 4]}
  • id: 7947000
    {'degree': 6, 'field': [-96, 0, -44, 0, -2, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [6]}
  • id: 7947004
    {'degree': 8, 'field': [163174, 15564, 35286, 480, 2831, -12, 90, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 12]}
  • id: 7947003
    {'degree': 8, 'field': [1354896, 0, 33432, 0, 1969, 0, 48, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [8]}
  • id: 7947002
    {'degree': 8, 'field': [5267025, 0, -633420, 0, 20724, 0, -252, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [8]}
  • id: 7947001
    {'degree': 8, 'field': [162562500, 0, 0, 0, 12750, 0, 0, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 4]}
  • id: 7947006
    {'degree': 12, 'field': [-7335, 2880, -5574, -49632, 52756, -16912, 298, 1936, -946, 184, -8, -4, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 6]}
  • id: 7947007
    {'degree': 12, 'field': [900, 0, -2292, 0, 493, 0, -362, 0, 51, 0, -14, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [12]}
  • id: 7947005
    {'degree': 12, 'field': [900, 0, 2292, 0, 493, 0, 362, 0, 51, 0, 14, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [3, 6]}
  • id: 7947008
    {'degree': 12, 'field': [6241, 0, -26980, 0, 40536, 0, -19328, 0, -696, 0, -4, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [12]}
  • id: 7947010
    {'degree': 16, 'field': [7354949121, 0, -74086535628, 0, 55995337260, 0, -6515223768, 0, 311722839, 0, -7351272, 0, 87660, 0, -492, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 8]}
  • id: 7947013
    {'degree': 16, 'field': [342488300625, 0, -220266985500, 0, 45613997100, 0, -2439401400, 0, 10589319, 0, 980136, 0, 32652, 0, 228, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [24]}
  • id: 7947014
    {'degree': 16, 'field': [712126703376, 0, 62002646640, 0, 7393131244, 0, 373925500, 0, 17269401, 0, 413360, 0, 9294, 0, 100, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [24]}
  • id: 7947011
    {'degree': 16, 'field': [1478938125456, 0, -37066417344, 0, -1513467720, 0, -10704336, 0, -1275071, 0, -13896, 0, 2495, 0, 96, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 8]}
  • id: 7947009
    {'degree': 16, 'field': [26430712237713001, 0, -24866860092004, 0, -8268905017490, 0, 3250229984, 0, 976777519, 0, -51016, 0, -50990, 0, -4, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [4, 4]}
  • id: 7947012
    {'degree': 16, 'field': [26443155585882256, 0, -49702495944512, 0, -8203568279360, 0, 6494339488, 0, 980985304, 0, -102128, 0, -50960, 0, -8, 0, 1], 'lmfdb_label': '179520.gd4', 'torsion': [2, 12]}
  • id: 7947015
    {'degree': 18, 'field': [3219410251891416, 400332652750800, 156517220900700, -79878005001632, -9644924753646, 1941443986524, 245262846121, 33182479428, -5389805040, -2022559274, 163450449, 40662324, -3280673, -430314, 41676, 2434, -309, -6, 1], 'lmfdb_label': '179520.gd4', '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: 4443533
    {'conductor': 179520, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '179520.gd4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4443534
    {'conductor': 179520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '179520.gd4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4443535
    {'conductor': 179520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '179520.gd4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4443536
    {'conductor': 179520, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '179520.gd4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 4443537
    {'conductor': 179520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '179520.gd4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 674795
    {'conductor': 179520, 'elladic_image': '4.6.0.1', 'lmfdb_label': '179520.gd4', 'modell_image': '2B', 'prime': 2}
  • id: 674796
    {'conductor': 179520, 'elladic_image': '3.4.0.1', 'lmfdb_label': '179520.gd4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 179520.gd does not appear in ec_padic