Elliptic curve data - 111600.de2

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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': '111600ev', 'Clabel': '111600ev4', 'Cnumber': 4, 'abc_quality': 1.0007838605326649, 'absD': 155116064793600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3720, 'ainvs': [0, 0, 0, -69192075, -221529239750], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 31], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 111600, 'degree': 9437184, 'elladic_images': ['8.48.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0824243330459207222021916581', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [785209010066844481, 3324675600], 'lmfdb_iso': '111600.de', 'lmfdb_label': '111600.de2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -19220, -1027200], 'min_quad_twist_disc': 60, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.48.0-8.e.1.16', '60.48.0-60.c.1.8', '120.96.0.?', '248.96.0.?', '3720.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '13.577059281864077791297080748', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0352520519348703797869572516', 'prec': 100}, 'szpiro_ratio': 5.658833804202395, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -6, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, 0, -4, -6, 2, -4, 8, -6, 1, 2, -10, -4, 0, -10, -12, -2, -4, 0, -2, 0, -4, 14, -18], 'class_deg': 8, 'class_size': 6, 'conductor': 111600, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '111600.de', 'trace_hash': 760540138658841855}
• 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': '0.0021020364499115249014631215364', 'prec': 110}, 'conductor': 111600, 'gens': [[14565, 1364000, 1], [-4801, 882, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6069817371417596516863740234', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.3499656477869088630657495717', 'prec': 100}], 'lmfdb_label': '111600.de2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.052346250158757127756490689538', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.371330265419718672816447132996509412', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-4795, 0, 1], [9605, 0, 1]], 'xcoord_integral_points': [-4810, -4801, -4795, 9605, 11589, 14565, 19215, 31205, 51455, 114230]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [2, 2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [3, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '111600.de2'}
• ec_torsion_growth •

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

  
  
  • id: 5136805
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 4]}
  • id: 5136804
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 4]}
  • id: 5136806
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [4, 4]}
  • id: 5136811
    {'degree': 8, 'field': [-151875, 0, -34440, 0, -1350, 0, 0, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 6]}
  • id: 5136810
    {'degree': 8, 'field': [196, 0, 184, 0, -24, 0, 4, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [4, 8]}
  • id: 5136809
    {'degree': 8, 'field': [2640, 2040, -1710, -630, 241, 86, -24, -4, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 8]}
  • id: 5136808
    {'degree': 8, 'field': [4356, 0, -1212, 0, 493, 0, 38, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 8]}
  • id: 5136807
    {'degree': 8, 'field': [125074, 15084, -13802, -2516, 1139, 140, -42, -4, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 8]}
  • id: 5136812
    {'degree': 16, 'field': [6969600, 0, 13190400, 0, 6766980, 0, 1698720, 0, 270121, 0, 27424, 0, 1746, 0, 64, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [4, 8]}
  • id: 5136815
    {'degree': 16, 'field': [7800849, 0, 4586988, 0, 795640, 0, 112056, 0, 36750, 0, 2204, 0, 168, 0, 0, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 12]}
  • id: 5136814
    {'degree': 16, 'field': [12960000, 0, -6912000, 0, 921600, 0, -219375, 0, 7650, 0, -5295, 0, 225, 0, -30, 0, 1], 'lmfdb_label': '111600.de2', 'torsion': [2, 12]}
  • id: 5136813
    {'degree': 16, 'field': [25514496, 23837184, -15487296, -15722016, 5404114, 2980836, -1039982, 21892, 21561, -25620, 13198, -5028, 1384, -280, 60, -8, 1], 'lmfdb_label': '111600.de2', 'torsion': [4, 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: 2745431
    {'conductor': 111600, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '111600.de2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2745432
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '111600.de2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2745433
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '111600.de2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2745434
    {'conductor': 111600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '111600.de2', 'prime': 31, '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: 2395058
    {'adelic_gens': [[1481, 3718, 1506, 5], [3713, 2784, 6, 935], [1865, 932, 952, 1869], [1, 0, 8, 1], [3713, 8, 3712, 9], [1801, 8, 3484, 33], [5, 4, 3716, 3717], [1, 8, 0, 1], [2473, 3718, 18, 5]], 'adelic_image': '3720.192.1.?', 'conductor': 111600, 'lmfdb_label': '111600.de2', 'prime': 0}
  • id: 442613
    {'conductor': 111600, 'elladic_image': '8.48.0.13', 'lmfdb_label': '111600.de2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5827755
    {'lmfdb_iso': '111600.de', 'p': 11, 'prec': 20, 'unit': 54347594080041843336, 'val': 2}
  • id: 5827756
    {'lmfdb_iso': '111600.de', 'p': 13, 'prec': 20, 'unit': 928155927353149272551, 'val': 2}
  • id: 5827753
    {'lmfdb_iso': '111600.de', 'p': 17, 'prec': 20, 'unit': 110402077473291517643690, 'val': 2}
  • id: 5827759
    {'lmfdb_iso': '111600.de', 'p': 19, 'prec': 20, 'unit': 374479918542673306753582, 'val': 2}
  • id: 5827762
    {'lmfdb_iso': '111600.de', 'p': 23, 'prec': 20, 'unit': 11678380106726996760467107, 'val': 2}
  • id: 5827757
    {'lmfdb_iso': '111600.de', 'p': 29, 'prec': 20, 'unit': 5108261065353723306539033174, 'val': 2}
  • id: 5827752
    {'lmfdb_iso': '111600.de', 'p': 37, 'prec': 20, 'unit': 530859883968379385395680199762, 'val': 2}
  • id: 5827754
    {'lmfdb_iso': '111600.de', 'p': 41, 'prec': 20, 'unit': 867030003778140407694302819692, 'val': 2}
  • id: 5827758
    {'lmfdb_iso': '111600.de', 'p': 43, 'prec': 20, 'unit': 5374911327160704880628559064945, 'val': 2}
  • id: 5827760
    {'lmfdb_iso': '111600.de', 'p': 53, 'prec': 20, 'unit': 508156238346834717489499574139879, 'val': 2}
  • id: 5827764
    {'lmfdb_iso': '111600.de', 'p': 59, 'prec': 20, 'unit': 1739893023191372737442028043063414, 'val': 2}
  • id: 5827765
    {'lmfdb_iso': '111600.de', 'p': 61, 'prec': 20, 'unit': 3030213814559290435439126113435412, 'val': 2}
  • id: 5827751
    {'lmfdb_iso': '111600.de', 'p': 67, 'prec': 20, 'unit': 30997569959523049335377949874192717, 'val': 2}
  • id: 5827761
    {'lmfdb_iso': '111600.de', 'p': 73, 'prec': 20, 'unit': 230581894336916604241517298953264411, 'val': 2}
  • id: 5827750
    {'lmfdb_iso': '111600.de', 'p': 83, 'prec': 20, 'unit': 591500964616171029790547808095035959, 'val': 2}
  • id: 5827763
    {'lmfdb_iso': '111600.de', 'p': 89, 'prec': 20, 'unit': 7697698943887373798622398400160385126, 'val': 2}
  • id: 5827749
    {'lmfdb_iso': '111600.de', 'p': 97, 'prec': 20, 'unit': 19732268863804807668749882714775888790, 'val': 2}