Elliptic curve data - 3192.m4

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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
  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[]

  
  {'Ciso': '3192i', 'Clabel': '3192i1', 'Cnumber': 1, 'abc_quality': 0.8829692481031437, 'absD': 6569136, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1064, 'ainvs': [0, 1, 0, 41, 86], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3192, 'degree': 512, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.0043898409902053221298982630144', 'prec': 113}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [464857088, 410571], 'lmfdb_iso': '3192.m', 'lmfdb_label': '3192.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 41, 86], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '38.6.0.b.1', '56.24.0-56.ba.1.4', '76.24.0.?', '1064.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3650877871485125223954609249', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 1064], [7, 8, 456], [19, 20, 168]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23543890117685375860230897017', 'prec': 107}, 'szpiro_ratio': 2.8171410646734074, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, -2, 0, 1, 0, 1, 0, -4, 0, 2, 0, -2, 0, 2, 0, -1, 0], 'aplist': [0, 1, -2, 1, -4, 2, 2, -1, 0, -2, -8, -2, -2, 4, 0, -2, -12, 14, 8, -12, -14, -4, -4, -18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 3192, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3192.m', 'trace_hash': 261951610605323863}
• 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': '1.0088183364300258976185817206', 'prec': 100}, 'conductor': 3192, 'gens': [[14, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3650877871485125223954609249', 'prec': 100}], 'lmfdb_label': '3192.m4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5458250509773496853335522103', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6560119491347565319134155249380905606', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[5, 21, 1]], 'xcoord_integral_points': [-2, 5, 14, 61]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '3192.m4'}
• ec_torsion_growth •

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

  
  
  • id: 166526
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '3192.m4', 'torsion': [2, 4]}
  • id: 166527
    {'degree': 4, 'field': [-171, 0, -18, 0, 1], 'lmfdb_label': '3192.m4', 'torsion': [8]}
  • id: 166531
    {'degree': 8, 'field': [-7203, 0, 980, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '3192.m4', 'torsion': [12]}
  • id: 166528
    {'degree': 8, 'field': [1849, -86, 2, 166, -77, -10, 8, -4, 1], 'lmfdb_label': '3192.m4', 'torsion': [4, 4]}
  • id: 166530
    {'degree': 8, 'field': [2401, 0, 2534, 0, 627, 0, -46, 0, 1], 'lmfdb_label': '3192.m4', 'torsion': [2, 8]}
  • id: 166529
    {'degree': 8, 'field': [11473, -3794, 4540, -1538, 885, -142, 52, -4, 1], 'lmfdb_label': '3192.m4', 'torsion': [2, 8]}
  • id: 166533
    {'degree': 16, 'field': [51883209, 0, 84419160, 0, 56927710, 0, -576240, 0, 84855, 0, 8800, 0, 438, 0, 0, 0, 1], 'lmfdb_label': '3192.m4', 'torsion': [2, 12]}
  • id: 166532
    {'degree': 16, 'field': [250058509, 380825736, 274527436, 81492624, -10173896, -18424536, -7677356, -2176224, -628406, -114120, -3260, -624, -992, -360, -68, 0, 1], 'lmfdb_label': '3192.m4', 'torsion': [16]}
• 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: 57683
    {'conductor': 3192, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3192.m4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 57684
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3192.m4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 57685
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3192.m4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 57686
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3192.m4', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1684752
    {'adelic_gens': [[624, 3, 789, 2], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1057, 8, 1056, 9], [7, 6, 1058, 1059], [673, 668, 670, 135], [403, 402, 146, 675], [913, 8, 460, 33]], 'adelic_image': '1064.48.0.?', 'conductor': 3192, 'lmfdb_label': '3192.m4', 'prime': 0}
  • id: 16023
    {'conductor': 3192, 'elladic_image': '4.12.0.7', 'lmfdb_label': '3192.m4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 104790
    {'lmfdb_iso': '3192.m', 'p': 5, 'prec': 20, 'unit': 5889097787798, 'val': 1}
  • id: 104789
    {'lmfdb_iso': '3192.m', 'p': 11, 'prec': 20, 'unit': 34664291066373843206, 'val': 1}
  • id: 104796
    {'lmfdb_iso': '3192.m', 'p': 13, 'prec': 20, 'unit': 804152742859043314407, 'val': 1}
  • id: 104798
    {'lmfdb_iso': '3192.m', 'p': 17, 'prec': 20, 'unit': 184494953317958769334491, 'val': 1}
  • id: 104795
    {'lmfdb_iso': '3192.m', 'p': 29, 'prec': 20, 'unit': 2488615265644648100556239575, 'val': 1}
  • id: 104792
    {'lmfdb_iso': '3192.m', 'p': 31, 'prec': 20, 'unit': 16546565748939766904447816036, 'val': 1}
  • id: 104805
    {'lmfdb_iso': '3192.m', 'p': 37, 'prec': 20, 'unit': 144568882389995980401452986460, 'val': 1}
  • id: 104793
    {'lmfdb_iso': '3192.m', 'p': 41, 'prec': 20, 'unit': 1896896711244651295944943145501, 'val': 1}
  • id: 104794
    {'lmfdb_iso': '3192.m', 'p': 43, 'prec': 20, 'unit': 6738666856858105479024202441845, 'val': 1}
  • id: 104800
    {'lmfdb_iso': '3192.m', 'p': 53, 'prec': 20, 'unit': 558103444647803405127966310898860, 'val': 1}
  • id: 104803
    {'lmfdb_iso': '3192.m', 'p': 59, 'prec': 20, 'unit': 667121262626619159570993937059289, 'val': 1}
  • id: 104804
    {'lmfdb_iso': '3192.m', 'p': 61, 'prec': 20, 'unit': 8069130742893839215609109543692896, 'val': 1}
  • id: 104788
    {'lmfdb_iso': '3192.m', 'p': 67, 'prec': 20, 'unit': 43927013998297257625868063064966395, 'val': 1}
  • id: 104791
    {'lmfdb_iso': '3192.m', 'p': 71, 'prec': 20, 'unit': 87265995969767319496375453971340573, 'val': 1}
  • id: 104801
    {'lmfdb_iso': '3192.m', 'p': 73, 'prec': 20, 'unit': 208399110290736286863084701572436564, 'val': 1}
  • id: 104797
    {'lmfdb_iso': '3192.m', 'p': 79, 'prec': 20, 'unit': 103561431370220264137310606982188004, 'val': 1}
  • id: 104799
    {'lmfdb_iso': '3192.m', 'p': 83, 'prec': 20, 'unit': 1447446848631978534367432477895804014, 'val': 1}
  • id: 104802
    {'lmfdb_iso': '3192.m', 'p': 89, 'prec': 20, 'unit': 9023215431442430859789731358603758990, 'val': 1}
  • id: 104787
    {'lmfdb_iso': '3192.m', 'p': 97, 'prec': 20, 'unit': 27048107351435495676491415904035566209, 'val': 1}