Elliptic curve data - 122694.bv3

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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': '122694cq', 'Clabel': '122694cq3', 'Cnumber': 3, 'abc_quality': 1.0250656507343525, 'absD': 20281589109150369858, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [1, 1, 1, -245814, 221592405], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 122694, 'degree': 3686400, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3864684142792827685714587007', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [-192100033, 2371842], 'lmfdb_iso': '122694.bv', 'lmfdb_label': '122694.bv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -12, -81], 'min_quad_twist_disc': -143, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '264.24.0.?', '312.24.0.?', '572.12.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2174776974883547864397105019', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 20449], [3, 4, 40898], [11, 72, 1014], [13, 86, 726]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809065', 'prec': 110}, 'szpiro_ratio': 4.434136766807925, '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, -1, 1, -2, -1, -4, 1, 1, -2, 0, -1, 0, -4, 2, 1, -2, 1, 4, -2], 'aplist': [1, -1, -2, -4, 0, 0, -2, 4, 4, -6, 0, -6, -6, -4, 12, 2, -12, 14, -4, 12, -6, 4, 4, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 122694, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '122694.bv', 'trace_hash': 434928769992737165}
• 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': '0.0084555112730151420681172533164', 'prec': 110}, 'conductor': 122694, 'gens': [[51799, 11729863, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '7.2174776974883547864397105019', 'prec': 100}], 'lmfdb_label': '122694.bv3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18347649027850350983703216394', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2969499063941520920466637978806957506', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2957, 2953, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': 'a', '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '122694.bv3'}
• ec_torsion_growth •

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

  
  
  • id: 5605204
    {'degree': 2, 'field': [-143, 0, 1], 'lmfdb_label': '122694.bv3', 'torsion': [4]}
  • id: 5605203
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '122694.bv3', 'torsion': [2, 2]}
  • id: 5605205
    {'degree': 2, 'field': [286, 0, 1], 'lmfdb_label': '122694.bv3', 'torsion': [4]}
  • id: 5605206
    {'degree': 4, 'field': [5041, 0, 144, 0, 1], 'lmfdb_label': '122694.bv3', 'torsion': [2, 4]}
  • id: 5605208
    {'degree': 8, 'field': [3364, 0, -1323, 0, 515, 0, -45, 0, 1], 'lmfdb_label': '122694.bv3', 'torsion': [8]}
  • id: 5605209
    {'degree': 8, 'field': [5490, -6408, 7596, -2448, 1405, -220, 78, -4, 1], 'lmfdb_label': '122694.bv3', 'torsion': [8]}
  • id: 5605210
    {'degree': 8, 'field': [79088, -227792, 83384, 9883, 2360, -383, -5, -4, 1], 'lmfdb_label': '122694.bv3', 'torsion': [6]}
  • id: 5605207
    {'degree': 8, 'field': [1684518, -185768, 193548, -15704, 8213, -436, 150, -4, 1], 'lmfdb_label': '122694.bv3', 'torsion': [2, 4]}
  • id: 5605213
    {'degree': 16, 'field': [4533376, 9096448, 36940480, 30992128, 21222632, 11660464, 3962112, 1207456, 373814, 83564, 17346, 4412, 1031, -4, 58, -4, 1], 'lmfdb_label': '122694.bv3', 'torsion': [2, 8]}
  • id: 5605212
    {'degree': 16, 'field': [66018546, -119735352, 175825620, -108327768, 44783770, 10486960, -2017936, -1668888, 944563, -390376, 118168, -23512, 5314, -672, 116, -8, 1], 'lmfdb_label': '122694.bv3', 'torsion': [2, 8]}
  • id: 5605215
    {'degree': 16, 'field': [2301907514, 26275776560, -18711855024, -15155793822, 7646123760, -77498154, 19283323, 4123888, 850404, -1283870, 286441, -16260, 2801, -70, 30, -8, 1], 'lmfdb_label': '122694.bv3', 'torsion': [12]}
  • id: 5605214
    {'degree': 16, 'field': [95549886168, -19612901616, 50972271340, -8891848520, 15800652478, -4028535432, 284805561, 118108848, -20263740, -158094, 531525, -34092, -2667, 810, 22, -8, 1], 'lmfdb_label': '122694.bv3', 'torsion': [2, 6]}
  • id: 5605216
    {'degree': 16, 'field': [329426454434, -206668247104, 163764747168, -42956138588, 11093625532, 289348224, 692423813, -1618852, 991518, -1619698, 149141, 7236, 5217, -714, 6, -8, 1], 'lmfdb_label': '122694.bv3', 'torsion': [12]}
  • id: 5605211
    {'degree': 16, 'field': [2266556497074, -544862677032, 601502669492, -116596777128, 66709851530, -10431015728, 4047271248, -505249864, 147144179, -14308104, 3286168, -237000, 44050, -2128, 324, -8, 1], 'lmfdb_label': '122694.bv3', 'torsion': [4, 4]}
• 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: 3023704
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '122694.bv3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3023705
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '122694.bv3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3023706
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '122694.bv3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3023707
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '122694.bv3', 'prime': 13, '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: 2464974
    {'adelic_gens': [[791, 0, 0, 3431], [7, 6, 3426, 3427], [3425, 8, 3424, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1145, 2912, 884, 1353], [2495, 520, 3380, 2079], [2016, 1625, 2041, 768], [1288, 2483, 169, 1782]], 'adelic_image': '3432.48.0.?', 'conductor': 122694, 'lmfdb_label': '122694.bv3', 'prime': 0}
  • id: 481296
    {'conductor': 122694, 'elladic_image': '8.12.0.16', 'lmfdb_label': '122694.bv3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6421957
    {'lmfdb_iso': '122694.bv', 'p': 5, 'prec': 20, 'unit': 13070335157548, 'val': 1}
  • id: 6421958
    {'lmfdb_iso': '122694.bv', 'p': 7, 'prec': 20, 'unit': 3897326165929898, 'val': 1}
  • id: 6421963
    {'lmfdb_iso': '122694.bv', 'p': 17, 'prec': 20, 'unit': 100858972920637553776769, 'val': 1}
  • id: 6421954
    {'lmfdb_iso': '122694.bv', 'p': 19, 'prec': 20, 'unit': 49947272823143243196845, 'val': 2}
  • id: 6421968
    {'lmfdb_iso': '122694.bv', 'p': 23, 'prec': 20, 'unit': 5038335963612046291952271, 'val': 1}
  • id: 6421961
    {'lmfdb_iso': '122694.bv', 'p': 29, 'prec': 20, 'unit': 3254699336342788068815988129, 'val': 1}
  • id: 6421973
    {'lmfdb_iso': '122694.bv', 'p': 37, 'prec': 20, 'unit': 86589103665241474005621952237, 'val': 1}
  • id: 6421959
    {'lmfdb_iso': '122694.bv', 'p': 41, 'prec': 20, 'unit': 3934674198180605694602514072044, 'val': 1}
  • id: 6421960
    {'lmfdb_iso': '122694.bv', 'p': 43, 'prec': 20, 'unit': 3866452949914776770327664735887, 'val': 1}
  • id: 6421971
    {'lmfdb_iso': '122694.bv', 'p': 47, 'prec': 20, 'unit': 45800800423994406510055446098368, 'val': 1}
  • id: 6421965
    {'lmfdb_iso': '122694.bv', 'p': 53, 'prec': 20, 'unit': 135908366505275804346479634137210, 'val': 1}
  • id: 6421966
    {'lmfdb_iso': '122694.bv', 'p': 59, 'prec': 20, 'unit': 2855785257973907075325675307207355, 'val': 1}
  • id: 6421972
    {'lmfdb_iso': '122694.bv', 'p': 61, 'prec': 20, 'unit': 5548278887300050328200811046526956, 'val': 1}
  • id: 6421956
    {'lmfdb_iso': '122694.bv', 'p': 67, 'prec': 20, 'unit': 45626433180217811195086980462885008, 'val': 1}
  • id: 6421970
    {'lmfdb_iso': '122694.bv', 'p': 71, 'prec': 20, 'unit': 100772220781815040081941447874108918, 'val': 1}
  • id: 6421967
    {'lmfdb_iso': '122694.bv', 'p': 73, 'prec': 20, 'unit': 175619667103625454242804715580264352, 'val': 1}
  • id: 6421962
    {'lmfdb_iso': '122694.bv', 'p': 79, 'prec': 20, 'unit': 536296025628562067156381993746811350, 'val': 1}
  • id: 6421964
    {'lmfdb_iso': '122694.bv', 'p': 83, 'prec': 20, 'unit': 1725597327999250240857236757812828510, 'val': 1}
  • id: 6421969
    {'lmfdb_iso': '122694.bv', 'p': 89, 'prec': 20, 'unit': 10192671970215692998366467817976759144, 'val': 1}
  • id: 6421955
    {'lmfdb_iso': '122694.bv', 'p': 97, 'prec': 20, 'unit': 53805535517291332103336917381673055495, 'val': 1}