Elliptic curve isogeny class data - 4900.e

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• 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, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, -2, 0, 0, 0, 2, -6, 4, -6, 6, 4, -2, -6, 10, -6, 6, -12, -2, -2, -12, 2, 8, 6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 4900, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '4900.e', 'trace_hash': 1882179309730292512}
• ec_padic •

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

  
  
  • id: 179021
    {'lmfdb_iso': '4900.e', 'p': 13, 'prec': 20, 'unit': 1401685262266868939488, 'val': 1}
  • id: 179023
    {'lmfdb_iso': '4900.e', 'p': 17, 'prec': 20, 'unit': 129752741298275007247517, 'val': 1}
  • id: 179024
    {'lmfdb_iso': '4900.e', 'p': 19, 'prec': 20, 'unit': 1933103585997219417397866, 'val': 1}
  • id: 179028
    {'lmfdb_iso': '4900.e', 'p': 23, 'prec': 20, 'unit': 7785940172567937502196664, 'val': 1}
  • id: 179020
    {'lmfdb_iso': '4900.e', 'p': 29, 'prec': 20, 'unit': 6057016156966519070676817721, 'val': 1}
  • id: 179032
    {'lmfdb_iso': '4900.e', 'p': 31, 'prec': 20, 'unit': 18340249235946610135314294672, 'val': 1}
  • id: 179016
    {'lmfdb_iso': '4900.e', 'p': 37, 'prec': 20, 'unit': 507306204705472498620808769006, 'val': 1}
  • id: 179018
    {'lmfdb_iso': '4900.e', 'p': 41, 'prec': 20, 'unit': 4177407099376861417264698076152, 'val': 1}
  • id: 179019
    {'lmfdb_iso': '4900.e', 'p': 43, 'prec': 20, 'unit': 868292401499201332047430501678, 'val': 1}
  • id: 179030
    {'lmfdb_iso': '4900.e', 'p': 47, 'prec': 20, 'unit': 34219954539431627883207953192160, 'val': 1}
  • id: 179025
    {'lmfdb_iso': '4900.e', 'p': 53, 'prec': 20, 'unit': 485838830390339665045940485716110, 'val': 1}
  • id: 179026
    {'lmfdb_iso': '4900.e', 'p': 59, 'prec': 20, 'unit': 61775370066331513724150393444576, 'val': 1}
  • id: 179031
    {'lmfdb_iso': '4900.e', 'p': 61, 'prec': 20, 'unit': 7755323487774342669868912697246998, 'val': 1}
  • id: 179015
    {'lmfdb_iso': '4900.e', 'p': 67, 'prec': 20, 'unit': 41082786086763290738145569427481322, 'val': 1}
  • id: 179017
    {'lmfdb_iso': '4900.e', 'p': 71, 'prec': 20, 'unit': 29157418539027992643673320732421040, 'val': 1}
  • id: 179027
    {'lmfdb_iso': '4900.e', 'p': 73, 'prec': 20, 'unit': 142306962823395283319547669654252739, 'val': 1}
  • id: 179022
    {'lmfdb_iso': '4900.e', 'p': 79, 'prec': 20, 'unit': 734113401027090106338715689224294811, 'val': 1}
  • id: 179014
    {'lmfdb_iso': '4900.e', 'p': 83, 'prec': 20, 'unit': 991783377024228199305322995562567764, 'val': 1}
  • id: 179029
    {'lmfdb_iso': '4900.e', 'p': 89, 'prec': 20, 'unit': 9101940949615667302136608609039897190, 'val': 1}
  • id: 179013
    {'lmfdb_iso': '4900.e', 'p': 97, 'prec': 20, 'unit': 21850982226329717830034702013843637591, 'val': 1}
• 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[]

  
  
  • id: 30327
    {'Ciso': '4900k', 'Clabel': '4900k3', 'Cnumber': 3, 'abc_quality': 1.073761143790618, 'absD': 3676531250000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -50633, 4367488], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4900, 'degree': 12960, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3970300795632417143766525762', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [488095744, 125], 'lmfdb_iso': '4900.e', 'lmfdb_label': '4900.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -41, -116], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0.f.1', '20.24.0.e.1', '24.48.0.bq.2', '30.24.0.a.1', '42.24.0-6.a.1.1', '56.12.0-4.b.1.4', '60.96.3.bk.1', '84.48.0.?', '105.8.0.?', '120.192.9.?', '168.96.0.?', '210.48.0.?', '280.48.0.?', '420.192.3.?', '840.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.56479172701181121302310503560', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 196], [7, 26, 100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61169301136811356194881416929', 'prec': 107}, 'szpiro_ratio': 5.191332073987816, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 30328
    {'Ciso': '4900k', 'Clabel': '4900k4', 'Cnumber': 4, 'abc_quality': 0.9589363178944194, 'absD': 7353062500000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -44508, 5469988], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4900, 'degree': 25920, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7436036698432143690852686369', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-20720464, 15625], 'lmfdb_iso': '4900.e', 'lmfdb_label': '4900.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -140], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '20.12.0.d.1', '24.48.0.bh.2', '40.24.0.bc.1', '56.12.0-4.a.1.2', '60.48.1.h.1', '84.48.0.?', '105.8.0.?', '120.192.9.?', '168.96.0.?', '210.24.0.?', '280.48.0.?', '420.96.1.?', '840.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1295834540236224260462100712', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 196], [7, 26, 100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49616848127478934371260881574', 'prec': 107}, 'szpiro_ratio': 5.243990419353223, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 30325
    {'Ciso': '4900k', 'Clabel': '4900k1', 'Cnumber': 1, 'abc_quality': 0.9562146657916117, 'absD': 147061250000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -1633, -18012], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4900, 'degree': 4320, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84772393522918686867902995776', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384, 5], 'lmfdb_iso': '4900.e', 'lmfdb_label': '4900.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1, 0], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0.f.1', '20.24.0.e.1', '24.48.0.bq.1', '30.24.0.a.1', '42.24.0-6.a.1.2', '56.12.0-4.b.1.4', '60.96.3.bk.1', '84.48.0.?', '105.8.0.?', '120.192.9.?', '168.96.0.?', '210.48.0.?', '280.48.0.?', '420.192.3.?', '840.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6943751810354336390693151068', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 196], [7, 26, 100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1609991557021684076464367877', 'prec': 103}, 'szpiro_ratio': 3.9789073181010646, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 30326
    {'Ciso': '4900k', 'Clabel': '4900k2', 'Cnumber': 2, 'abc_quality': 0.8396384887826309, 'absD': 11764900000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, 4492, -116012], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4900, 'degree': 8640, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1942975255091595233876460185', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21296, 25], 'lmfdb_iso': '4900.e', 'lmfdb_label': '4900.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 4], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '20.12.0.d.1', '24.48.0.bh.1', '40.24.0.bc.1', '56.12.0-4.a.1.2', '60.48.1.h.1', '84.48.0.?', '105.8.0.?', '120.192.9.?', '168.96.0.?', '210.24.0.?', '280.48.0.?', '420.96.1.?', '840.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3887503620708672781386302136', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 196], [7, 26, 100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0454746256088441894102314341', 'prec': 103}, 'szpiro_ratio': 4.3393823295372655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}