Elliptic curve data - 76230.c4

Formats: - HTML - YAML - JSON - 2024-05-01T16:22:13.754106

• 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': '76230t', 'Clabel': '76230t5', 'Cnumber': 5, 'abc_quality': 1.0221395366994406, 'absD': 238366646622070312500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -4745340, -3907631700], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 76230, 'degree': 4423680, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7012126427096339527077279939', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [9150443179640281, 184570312500], 'lmfdb_iso': '76230.c', 'lmfdb_label': '76230.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4358, -109132], 'min_quad_twist_disc': 33, '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.3', '33.8.0-3.a.1.1', '40.12.0.ba.1', '42.24.0.c.1', '66.24.0-6.a.1.1', '84.96.1.?', '120.96.1.?', '132.96.0.?', '308.12.0.?', '462.48.0.?', '840.192.5.?', '924.192.1.?', '1320.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4058557883335029816607497770', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95295886197639383497913358646', 'prec': 103}, 'szpiro_ratio': 5.135575398888869, '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, -1, -1, 0, 1, 0, 0, -2, 1, 0, 1, -6, 0, -8, -1], 'aplist': [-1, 0, -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': 76230, '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': '76230.c', 'trace_hash': 967688566008714962}
• 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': '0.0045056402172612286050031619895', 'prec': 110}, 'conductor': 76230, 'gens': [[-1119, 15, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4058557883335029816607497770', 'prec': 100}], 'lmfdb_label': '76230.c4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10241537494172159616365623198', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7904959804768679511164397014806521835', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-5565, 5565, 2]], 'xcoord_integral_points': [-1119, 2515, 823981]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 2], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '76230.c4'}
• ec_torsion_growth •

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

  
  
  • id: 3603706
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '76230.c4', 'torsion': [6]}
  • id: 3603703
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 2]}
  • id: 3603704
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [4]}
  • id: 3603705
    {'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [4]}
  • id: 3603708
    {'degree': 4, 'field': [-17, 37, -16, -1, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 6]}
  • id: 3603709
    {'degree': 4, 'field': [64, 0, 17, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [12]}
  • id: 3603707
    {'degree': 4, 'field': [121, 0, 55, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 4]}
  • id: 3603710
    {'degree': 4, 'field': [196, 0, 49, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [12]}
  • id: 3603711
    {'degree': 6, 'field': [15, 3, 50, -17, 18, -1, 1], 'lmfdb_label': '76230.c4', 'torsion': [6]}
  • id: 3603715
    {'degree': 8, 'field': [289, 0, 825, 0, 296, 0, 33, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 12]}
  • id: 3603713
    {'degree': 8, 'field': [11221, 7000, 126, 640, 467, -40, 34, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [8]}
  • id: 3603712
    {'degree': 8, 'field': [12973, -18730, 14303, -5602, 358, 442, -115, -2, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 12]}
  • id: 3603714
    {'degree': 8, 'field': [4866436, 0, -252052, 0, 19893, 0, 158, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [8]}
  • id: 3603719
    {'degree': 12, 'field': [1233, 3750, -267, -7450, 5070, -2010, 1385, -726, 330, -110, 33, -6, 1], 'lmfdb_label': '76230.c4', 'torsion': [12]}
  • id: 3603716
    {'degree': 12, 'field': [1296, -6480, 11808, -5040, 1216, 24, -445, 201, 24, 21, -4, -3, 1], 'lmfdb_label': '76230.c4', 'torsion': [3, 6]}
  • id: 3603717
    {'degree': 12, 'field': [2500, 0, 1084, 0, 288, 0, 251, 0, 99, 0, 13, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 6]}
  • id: 3603718
    {'degree': 12, 'field': [12277, -33702, 43393, -34548, 18678, -6570, 1421, -198, 120, -72, 31, -6, 1], 'lmfdb_label': '76230.c4', 'torsion': [12]}
  • id: 3603722
    {'degree': 16, 'field': [60921, 656838, 3142938, -965100, 2365069, -1360026, 594642, -379682, 115904, -38756, 23048, -7334, 1425, -336, 56, -4, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 8]}
  • id: 3603723
    {'degree': 16, 'field': [22217284, -27413592, 39994120, -27957096, 21356556, -9974428, 5298872, -1910484, 765205, -214896, 67144, -14460, 3502, -532, 96, -8, 1], 'lmfdb_label': '76230.c4', 'torsion': [24]}
  • id: 3603720
    {'degree': 16, 'field': [62694724, 0, -70335880, 0, 17556952, 0, 2521988, 0, 726229, 0, -3388, 0, 1750, 0, 8, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [4, 12]}
  • id: 3603724
    {'degree': 16, 'field': [47135568096, -12352692096, 13004627760, -1303007760, 658265244, -32538936, 49915932, -30257640, 3633121, 2455984, -329048, -84992, 11314, 1288, -164, -8, 1], 'lmfdb_label': '76230.c4', 'torsion': [24]}
  • id: 3603721
    {'degree': 16, 'field': [5437006764121, 0, -673510517096, 0, 45294160198, 0, -784747964, 0, 1120903, 0, -74228, 0, 7462, 0, 52, 0, 1], 'lmfdb_label': '76230.c4', 'torsion': [2, 8]}
  • id: 3603725
    {'degree': 18, 'field': [-2422497024, 17338862592, 7247332224, -6125570352, -1724363280, 1110896352, 140416555, -118048809, -4362684, 5981360, 205695, -29277, -15906, -11925, 945, 542, -78, -3, 1], 'lmfdb_label': '76230.c4', '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: 1853151
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '76230.c4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1853152
    {'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '76230.c4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1853153
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '76230.c4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1853154
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76230.c4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1853155
    {'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '76230.c4', '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: 2167603
    {'adelic_gens': [[1, 24, 0, 1], [1, 0, 24, 1], [5721, 6688, 836, 4709], [496, 2541, 7755, 2146], [6719, 0, 0, 9239], [1, 12, 12, 145], [2311, 4224, 9042, 4489], [9217, 24, 9216, 25], [824, 2079, 4345, 934], [3697, 4224, 4884, 4489], [15, 106, 7934, 11]], 'adelic_image': '9240.384.5.?', 'conductor': 76230, 'lmfdb_label': '76230.c4', 'prime': 0}
  • id: 314832
    {'conductor': 76230, 'elladic_image': '4.6.0.1', 'lmfdb_label': '76230.c4', 'modell_image': '2B', 'prime': 2}
  • id: 314833
    {'conductor': 76230, 'elladic_image': '3.4.0.1', 'lmfdb_label': '76230.c4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3923921
    {'lmfdb_iso': '76230.c', 'p': 13, 'prec': 20, 'unit': 244445189526824167532, 'val': 1}
  • id: 3923923
    {'lmfdb_iso': '76230.c', 'p': 17, 'prec': 20, 'unit': 4218576750421104742309, 'val': 1}
  • id: 3923913
    {'lmfdb_iso': '76230.c', 'p': 19, 'prec': 20, 'unit': 1484935683944519016673282, 'val': 1}
  • id: 3923920
    {'lmfdb_iso': '76230.c', 'p': 29, 'prec': 20, 'unit': 297529628644312164476655542, 'val': 1}
  • id: 3923930
    {'lmfdb_iso': '76230.c', 'p': 31, 'prec': 20, 'unit': 15947191966965641050428293365, 'val': 1}
  • id: 3923916
    {'lmfdb_iso': '76230.c', 'p': 37, 'prec': 20, 'unit': 76460142458319686727401274332, 'val': 1}
  • id: 3923918
    {'lmfdb_iso': '76230.c', 'p': 41, 'prec': 20, 'unit': 1365630408570185586764892940404, 'val': 1}
  • id: 3923919
    {'lmfdb_iso': '76230.c', 'p': 43, 'prec': 20, 'unit': 6854035287715434542354371193797, 'val': 1}
  • id: 3923925
    {'lmfdb_iso': '76230.c', 'p': 53, 'prec': 20, 'unit': 322269336997010081648292401724547, 'val': 1}
  • id: 3923928
    {'lmfdb_iso': '76230.c', 'p': 59, 'prec': 20, 'unit': 3500959353051058969204095482524082, 'val': 1}
  • id: 3923929
    {'lmfdb_iso': '76230.c', 'p': 61, 'prec': 20, 'unit': 1922699564217107680565543953104078, 'val': 1}
  • id: 3923915
    {'lmfdb_iso': '76230.c', 'p': 67, 'prec': 20, 'unit': 10474930945501939336493425870866461, 'val': 1}
  • id: 3923917
    {'lmfdb_iso': '76230.c', 'p': 71, 'prec': 20, 'unit': 7593298572810151798434229498409760, 'val': 1}
  • id: 3923926
    {'lmfdb_iso': '76230.c', 'p': 73, 'prec': 20, 'unit': 201099564270697470655560441761192086, 'val': 1}
  • id: 3923922
    {'lmfdb_iso': '76230.c', 'p': 79, 'prec': 20, 'unit': 299056944590796106362420408685541903, 'val': 1}
  • id: 3923924
    {'lmfdb_iso': '76230.c', 'p': 83, 'prec': 20, 'unit': 11017802102782196763573350917033953, 'val': 1}
  • id: 3923927
    {'lmfdb_iso': '76230.c', 'p': 89, 'prec': 20, 'unit': 5836497681601095757229586972489419353, 'val': 1}
  • id: 3923914
    {'lmfdb_iso': '76230.c', 'p': 97, 'prec': 20, 'unit': 30366985561358778809958553362161364611, 'val': 1}