Elliptic curve data - 33810.c4

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '33810m', 'Clabel': '33810m3', 'Cnumber': 3, 'abc_quality': 1.0578558229971342, 'absD': 768668222863004886450000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19320, 'ainvs': [1, 1, 0, 1397357, -42176667203], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33810, 'degree': 5898240, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2621956052879126189737226695', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [2564821295690373719, 6533572090396050000], 'lmfdb_iso': '33810.c', 'lmfdb_label': '33810.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 28517, 122968118], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0.h.1', '28.12.0-4.c.1.2', '140.24.0.?', '552.12.0.?', '2760.24.0.?', '3864.24.0.?', '19320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3942779266928112204491308972', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2892405307602559664210462978', 'prec': 100}, 'szpiro_ratio': 5.98872013203967, '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, -1, 1, 0, -1, 1, 1, -4, -1, 2, 0, 1, 1, 6, -1, 0, -1], 'aplist': [-1, -1, -1, 0, -4, 2, 6, 0, 1, -2, -8, 2, -2, -4, 8, 6, -8, 2, 4, -12, 14, -12, 12, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 33810, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '33810.c', 'trace_hash': 1281473766214481240}
• 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': '0.0014672120984141847503122735513', 'prec': 110}, 'conductor': 33810, 'gens': [[3387, 36061, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3942779266928112204491308972', 'prec': 100}], 'lmfdb_label': '33810.c4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.041649997789402270083013568968', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9283466549243964473640976697016505970', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[13387, -13387, 2]], 'xcoord_integral_points': [3387, 873109]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': [3, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '33810.c4'}
• ec_torsion_growth •

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

  
  
  • id: 1679656
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '33810.c4', 'torsion': [4]}
  • id: 1679657
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '33810.c4', 'torsion': [4]}
  • id: 1679655
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '33810.c4', 'torsion': [2, 2]}
  • id: 1679658
    {'degree': 4, 'field': [14, -14, 15, -2, 1], 'lmfdb_label': '33810.c4', 'torsion': [2, 4]}
  • id: 1679662
    {'degree': 8, 'field': [-73372, 7045, -6118, -1855, 931, -7, 7, -4, 1], 'lmfdb_label': '33810.c4', 'torsion': [6]}
  • id: 1679659
    {'degree': 8, 'field': [21, 140, 212, -120, 29, -20, -2, 0, 1], 'lmfdb_label': '33810.c4', 'torsion': [2, 4]}
  • id: 1679661
    {'degree': 8, 'field': [253, -230, 328, -218, 165, -70, 28, -4, 1], 'lmfdb_label': '33810.c4', 'torsion': [8]}
  • id: 1679660
    {'degree': 8, 'field': [2706025, 0, -871500, 0, 4190, 0, -60, 0, 1], 'lmfdb_label': '33810.c4', 'torsion': [8]}
  • id: 1679663
    {'degree': 16, 'field': [2116, 0, 7752, 0, 16920, 0, 4692, 0, -1091, 0, -192, 0, 90, 0, -12, 0, 1], 'lmfdb_label': '33810.c4', 'torsion': [4, 4]}
  • id: 1679665
    {'degree': 16, 'field': [779269, -1562860, 2868808, -3417268, 3972314, -3452608, 2486832, -1371004, 643259, -229232, 75960, -17996, 4334, -644, 112, -8, 1], 'lmfdb_label': '33810.c4', 'torsion': [2, 8]}
  • id: 1679666
    {'degree': 16, 'field': [33062500, 0, 74126125, 0, 27587350, 0, 4569775, 0, 260575, 0, -6545, 0, -665, 0, 10, 0, 1], 'lmfdb_label': '33810.c4', 'torsion': [2, 6]}
  • id: 1679668
    {'degree': 16, 'field': [77898608, -56748544, 97891473, -78574890, 30090534, 10823526, -3290747, -198200, -39201, 54100, -5705, -2868, 569, -70, 30, -8, 1], 'lmfdb_label': '33810.c4', 'torsion': [12]}
  • id: 1679667
    {'degree': 16, 'field': [1335902500, 0, -783413875, 0, 76073650, 0, -9892125, 0, 549075, 0, -50265, 0, 1675, 0, -70, 0, 1], 'lmfdb_label': '33810.c4', 'torsion': [12]}
  • id: 1679664
    {'degree': 16, 'field': [86920003576, 23052374576, -20038649904, -5800669616, 2344205418, 637345236, -163283006, -40457948, 8051793, 1310156, -197954, -33828, 4728, 392, -36, -8, 1], 'lmfdb_label': '33810.c4', 'torsion': [2, 8]}
• 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: 792336
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '33810.c4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 792337
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '33810.c4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 792338
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '33810.c4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 792339
    {'conductor': 33810, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '33810.c4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 792340
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '33810.c4', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1889884
    {'adelic_gens': [[19313, 8, 19312, 9], [2416, 1043, 16219, 16248], [12881, 8288, 7364, 13833], [1, 0, 8, 1], [16559, 0, 0, 19319], [1, 8, 0, 1], [1, 4, 4, 17], [7939, 7938, 18298, 14155], [7, 6, 19314, 19315], [6721, 8288, 2044, 13833], [7736, 5523, 2765, 8282]], 'adelic_image': '19320.48.0.?', 'conductor': 33810, 'lmfdb_label': '33810.c4', 'prime': 0}
  • id: 150676
    {'conductor': 33810, 'elladic_image': '4.6.0.1', 'lmfdb_label': '33810.c4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1650941
    {'lmfdb_iso': '33810.c', 'p': 11, 'prec': 20, 'unit': 7063877195938318710, 'val': 1}
  • id: 1650947
    {'lmfdb_iso': '33810.c', 'p': 13, 'prec': 20, 'unit': 384429593820658881642, 'val': 1}
  • id: 1650949
    {'lmfdb_iso': '33810.c', 'p': 17, 'prec': 20, 'unit': 15433423731465623553190, 'val': 1}
  • id: 1650946
    {'lmfdb_iso': '33810.c', 'p': 29, 'prec': 20, 'unit': 4959455054106756394138062234, 'val': 1}
  • id: 1650957
    {'lmfdb_iso': '33810.c', 'p': 31, 'prec': 20, 'unit': 4907043476859135519260520829, 'val': 1}
  • id: 1650942
    {'lmfdb_iso': '33810.c', 'p': 37, 'prec': 20, 'unit': 534336113509093141178148157965, 'val': 1}
  • id: 1650944
    {'lmfdb_iso': '33810.c', 'p': 41, 'prec': 20, 'unit': 662434896501439399194613941687, 'val': 1}
  • id: 1650945
    {'lmfdb_iso': '33810.c', 'p': 43, 'prec': 20, 'unit': 8658542388887137630450862900973, 'val': 1}
  • id: 1650955
    {'lmfdb_iso': '33810.c', 'p': 47, 'prec': 20, 'unit': 28911024470314917987504805040168, 'val': 1}
  • id: 1650951
    {'lmfdb_iso': '33810.c', 'p': 53, 'prec': 20, 'unit': 317687902871457507752123371698841, 'val': 1}
  • id: 1650952
    {'lmfdb_iso': '33810.c', 'p': 59, 'prec': 20, 'unit': 803130154471758625191623513251355, 'val': 1}
  • id: 1650956
    {'lmfdb_iso': '33810.c', 'p': 61, 'prec': 20, 'unit': 5335211592632211862804391955756885, 'val': 1}
  • id: 1650950
    {'lmfdb_iso': '33810.c', 'p': 67, 'prec': 20, 'unit': 38579597241923133546160645383439673, 'val': 1}
  • id: 1650943
    {'lmfdb_iso': '33810.c', 'p': 71, 'prec': 20, 'unit': 124422706765994087948900347002223171, 'val': 1}
  • id: 1650953
    {'lmfdb_iso': '33810.c', 'p': 73, 'prec': 20, 'unit': 54353235976667995593656340296727225, 'val': 1}
  • id: 1650948
    {'lmfdb_iso': '33810.c', 'p': 79, 'prec': 20, 'unit': 409927304082902107492300122912497673, 'val': 1}
  • id: 1650940
    {'lmfdb_iso': '33810.c', 'p': 83, 'prec': 20, 'unit': 1188290445781118518217258676398830947, 'val': 1}
  • id: 1650954
    {'lmfdb_iso': '33810.c', 'p': 89, 'prec': 20, 'unit': 617160898361734270807337383141221096, 'val': 1}
  • id: 1650939
    {'lmfdb_iso': '33810.c', 'p': 97, 'prec': 20, 'unit': 42249988619221859029635007554014635906, 'val': 1}