Elliptic curve isogeny class data - 50400.br

Formats: - HTML - YAML - JSON - 2025-10-27T15:38:17.897614

• 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, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, -6, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 0, -1, 4, -6, -6, -4, 8, -10, -4, 6, -6, 4, 12, 6, 4, -2, 4, 0, 2, 8, 12, -14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 50400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '50400.br', 'trace_hash': 565531240708001542}
• ec_padic •

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

  
  
  • id: 2535207
    {'lmfdb_iso': '50400.br', 'p': 11, 'prec': 20, 'unit': 60031573879296218894, 'val': 1}
  • id: 2535212
    {'lmfdb_iso': '50400.br', 'p': 13, 'prec': 20, 'unit': 35107795471927556667, 'val': 1}
  • id: 2535214
    {'lmfdb_iso': '50400.br', 'p': 17, 'prec': 20, 'unit': 24778813122791860599676, 'val': 1}
  • id: 2535215
    {'lmfdb_iso': '50400.br', 'p': 19, 'prec': 20, 'unit': 1840529355119333720384546, 'val': 1}
  • id: 2535219
    {'lmfdb_iso': '50400.br', 'p': 23, 'prec': 20, 'unit': 39522615969317893604793826, 'val': 1}
  • id: 2535211
    {'lmfdb_iso': '50400.br', 'p': 29, 'prec': 20, 'unit': 3422956484223318806073531450, 'val': 1}
  • id: 2535224
    {'lmfdb_iso': '50400.br', 'p': 31, 'prec': 20, 'unit': 15501431462622316888471671245, 'val': 1}
  • id: 2535208
    {'lmfdb_iso': '50400.br', 'p': 37, 'prec': 20, 'unit': 377041082994964332954537663305, 'val': 1}
  • id: 2535209
    {'lmfdb_iso': '50400.br', 'p': 41, 'prec': 20, 'unit': 3134077868804821258247549399502, 'val': 1}
  • id: 2535210
    {'lmfdb_iso': '50400.br', 'p': 43, 'prec': 20, 'unit': 4172779132257149765504981644962, 'val': 1}
  • id: 2535221
    {'lmfdb_iso': '50400.br', 'p': 47, 'prec': 20, 'unit': 13407681787414809883206940901677, 'val': 1}
  • id: 2535216
    {'lmfdb_iso': '50400.br', 'p': 53, 'prec': 20, 'unit': 90515975803759766386851157624475, 'val': 1}
  • id: 2535217
    {'lmfdb_iso': '50400.br', 'p': 59, 'prec': 20, 'unit': 3334624313417513128358367056843975, 'val': 1}
  • id: 2535222
    {'lmfdb_iso': '50400.br', 'p': 61, 'prec': 20, 'unit': 7133455890101168360270299632355238, 'val': 1}
  • id: 2535206
    {'lmfdb_iso': '50400.br', 'p': 67, 'prec': 20, 'unit': 33318790783933758554313492534062923, 'val': 1}
  • id: 2535218
    {'lmfdb_iso': '50400.br', 'p': 73, 'prec': 20, 'unit': 172684055321414352251677651409819212, 'val': 1}
  • id: 2535213
    {'lmfdb_iso': '50400.br', 'p': 79, 'prec': 20, 'unit': 283006558452947831066488959554134384, 'val': 1}
  • id: 2535223
    {'lmfdb_iso': '50400.br', 'p': 83, 'prec': 20, 'unit': 2486813651973152722632843739118105010, 'val': 1}
  • id: 2535220
    {'lmfdb_iso': '50400.br', 'p': 89, 'prec': 20, 'unit': 3644173091032506136920593795828535698, 'val': 1}
  • id: 2535205
    {'lmfdb_iso': '50400.br', 'p': 97, 'prec': 20, 'unit': 32866349447156929615935395097159981171, '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: 335110
    {'Ciso': '50400dg', 'Clabel': '50400dg4', 'Cnumber': 4, 'abc_quality': 0.9498145704728139, 'absD': 612360000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -252075, 48712750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 50400, 'degree': 294912, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6176107412152211419848242301', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [303735479048, 105], 'lmfdb_iso': '50400.br', 'lmfdb_label': '50400.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1120, -14060], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '56.24.0-56.bb.1.15', '120.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5023807216345122372223438437', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 8, 5600], [5, 18, 2016], [7, 8, 7200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25627474475584287307610214607', 'prec': 107}, 'szpiro_ratio': 4.5185809497935665, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 335109
    {'Ciso': '50400dg', 'Clabel': '50400dg3', 'Cnumber': 3, 'abc_quality': 0.9841207261734332, 'absD': 1680315840000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -32700, -1136000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 50400, 'degree': 294912, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6176107412152211419848242301', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [82881856, 36015], 'lmfdb_iso': '50400.br', 'lmfdb_label': '50400.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -145, 385], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '56.24.0-56.bb.1.7', '60.24.0-60.h.1.1', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.87559518040862805930558596091', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 5600], [5, 18, 2016], [7, 8, 7200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42956153989582920043041017643', 'prec': 107}, 'szpiro_ratio': 3.952714840984646, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 335107
    {'Ciso': '50400dg', 'Clabel': '50400dg1', 'Cnumber': 1, 'abc_quality': 0.9653881815131621, 'absD': 8037225000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -15825, 754000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 50400, 'degree': 147456, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2710371509352484872762081693', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [601211584, 11025], 'lmfdb_iso': '50400.br', 'lmfdb_label': '50400.br3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -70, -200], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '56.24.0-56.a.1.6', '60.24.0-60.a.1.2', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7511903608172561186111719218', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 5600], [5, 18, 2016], [7, 8, 7200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42956153989582920043041017650', 'prec': 107}, 'szpiro_ratio': 3.751624767546273, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 335108
    {'Ciso': '50400dg', 'Clabel': '50400dg2', 'Cnumber': 2, 'abc_quality': 1.2585717066877196, 'absD': 2066715000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -75, 2187250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 50400, 'degree': 294912, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6176107412152211419848242301', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [-8, 354375], 'lmfdb_iso': '50400.br', 'lmfdb_label': '50400.br4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -648], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '56.24.0-56.v.1.7', '60.12.0-4.c.1.1', '120.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5023807216345122372223438437', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 8, 5600], [5, 18, 2016], [7, 8, 7200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25627474475584287307610214607', 'prec': 107}, 'szpiro_ratio': 3.945369142951169, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}