Elliptic curve isogeny class data - 33600.g

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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, -1, 0, 0, 0, -1, 0, 1, 0, -4, 0, -6, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, -1, -4, -6, 2, 4, -4, 2, -8, -10, -2, -8, 0, -10, -12, -10, 8, -12, -2, 0, -12, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 33600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '33600.g', 'trace_hash': 523871936314611072}
• ec_padic •

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

  
  
  • id: 1641274
    {'lmfdb_iso': '33600.g', 'p': 11, 'prec': 20, 'unit': 41501467500910419397, 'val': 2}
  • id: 1641272
    {'lmfdb_iso': '33600.g', 'p': 13, 'prec': 20, 'unit': 312575394000308690861, 'val': 2}
  • id: 1641275
    {'lmfdb_iso': '33600.g', 'p': 17, 'prec': 20, 'unit': 235374346175812938370628, 'val': 2}
  • id: 1641276
    {'lmfdb_iso': '33600.g', 'p': 19, 'prec': 20, 'unit': 1928167174036371841800934, 'val': 2}
  • id: 1641279
    {'lmfdb_iso': '33600.g', 'p': 23, 'prec': 20, 'unit': 55719151123599906301268140, 'val': 2}
  • id: 1641273
    {'lmfdb_iso': '33600.g', 'p': 29, 'prec': 20, 'unit': 3118400030581857109629064426, 'val': 2}
  • id: 1641283
    {'lmfdb_iso': '33600.g', 'p': 31, 'prec': 20, 'unit': 16836508169410663526155539882, 'val': 2}
  • id: 1641268
    {'lmfdb_iso': '33600.g', 'p': 37, 'prec': 20, 'unit': 601672844127479934637176514346, 'val': 2}
  • id: 1641270
    {'lmfdb_iso': '33600.g', 'p': 41, 'prec': 20, 'unit': 3922072682285686464362392234048, 'val': 2}
  • id: 1641271
    {'lmfdb_iso': '33600.g', 'p': 43, 'prec': 20, 'unit': 8709080037994872870882469240716, 'val': 2}
  • id: 1641277
    {'lmfdb_iso': '33600.g', 'p': 53, 'prec': 20, 'unit': 551782515293899198499945783853673, 'val': 2}
  • id: 1641281
    {'lmfdb_iso': '33600.g', 'p': 59, 'prec': 20, 'unit': 1043924308115970554944921057169958, 'val': 2}
  • id: 1641282
    {'lmfdb_iso': '33600.g', 'p': 61, 'prec': 20, 'unit': 1033302096517135300758062253950852, 'val': 2}
  • id: 1641267
    {'lmfdb_iso': '33600.g', 'p': 67, 'prec': 20, 'unit': 30569980334503513730608821148294376, 'val': 2}
  • id: 1641269
    {'lmfdb_iso': '33600.g', 'p': 71, 'prec': 20, 'unit': 11366768739746245505770906507864018, 'val': 2}
  • id: 1641278
    {'lmfdb_iso': '33600.g', 'p': 73, 'prec': 20, 'unit': 66097534439328815773858464984008079, 'val': 2}
  • id: 1641266
    {'lmfdb_iso': '33600.g', 'p': 83, 'prec': 20, 'unit': 2408444596497265067565603679575018480, 'val': 2}
  • id: 1641280
    {'lmfdb_iso': '33600.g', 'p': 89, 'prec': 20, 'unit': 5294124166154401484077019628477044580, 'val': 2}
  • id: 1641265
    {'lmfdb_iso': '33600.g', 'p': 97, 'prec': 20, 'unit': 45324467085733749615759350402855505417, 'val': 2}
• 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: 223841
    {'Ciso': '33600er', 'Clabel': '33600er4', 'Cnumber': 4, 'abc_quality': 0.9759310136796975, 'absD': 10752000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -22433, 1300737], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 65536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0926593185103111219543467911', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [2438569736, 21], 'lmfdb_iso': '33600.g', 'lmfdb_label': '33600.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -224, 1368], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '40.12.0-4.c.1.4', '56.12.0.ba.1', '60.12.0-4.c.1.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.1605152665852286385988057760', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 4, 11200], [5, 14, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57849361340667070211757302733', 'prec': 107}, 'szpiro_ratio': 3.9980222496876476, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 223839
    {'Ciso': '33600er', 'Clabel': '33600er2', 'Cnumber': 2, 'abc_quality': 0.9666197140470211, 'absD': 28224000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -1433, 19737], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 32768, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74608572823033846724573073038', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [5088448, 441], 'lmfdb_iso': '33600.g', 'lmfdb_label': '33600.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -14, 24], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '28.12.0.a.1', '40.12.0-2.a.1.1', '60.12.0-2.a.1.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 31, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.5401288166463071596497014440', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 11200], [5, 14, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75178040854665702947188105769', 'prec': 107}, 'szpiro_ratio': 3.2062919779790473, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 223838
    {'Ciso': '33600er', 'Clabel': '33600er1', 'Cnumber': 1, 'abc_quality': 0.9673193989883411, 'absD': 567000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -308, -1638], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 16384, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.39951213795036581253711466965', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [3241792, 567], 'lmfdb_iso': '33600.g', 'lmfdb_label': '33600.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -49, -95], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '28.12.0.h.1', '40.12.0-4.c.1.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.1605152665852286385988057760', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 175], [3, 4, 11200], [5, 14, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75178040854665702947188105769', 'prec': 107}, 'szpiro_ratio': 2.763996328927277, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 223840
    {'Ciso': '33600er', 'Clabel': '33600er3', 'Cnumber': 3, 'abc_quality': 0.9710857330134317, 'absD': 3687936000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, 1567, 88737], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 65536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0926593185103111219543467911', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [830584, 7203], 'lmfdb_iso': '33600.g', 'lmfdb_label': '33600.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, 84], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '40.12.0-4.c.1.2', '56.12.0.ba.1', '60.12.0-4.c.1.2', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.5401288166463071596497014440', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 11200], [5, 14, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57849361340667070211757302733', 'prec': 107}, 'szpiro_ratio': 3.4850092039247147, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}