Elliptic curve data - 9800.m1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9800h', 'Clabel': '9800h1', 'Cnumber': 1, 'abc_quality': 0.8600818321634119, 'absD': 6860000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, -1, 0, -3033, 65437], 'analytic_rank': 2, 'bad_primes': [2, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 9800, 'degree': 9216, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77016224761555302997584433257', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-2249728, 5], 'lmfdb_iso': '9800.m', 'lmfdb_label': '9800.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -121, 475], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 28, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.11654913681564331218284908928', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 175], [5, 18, 392], [7, 20, 200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.98313236623862235654569493421', 'prec': 107}, 'szpiro_ratio': 3.8813007654845126, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, -2, 0, -5, 0, -7, 0, 0, 0, 3, 0, -2, 0], 'aplist': [0, -1, 0, 0, -5, -7, 3, -2, -8, -5, -10, -4, -6, -2, 7, 10, -10, -12, 2, 0, 2, -7, -4, -8, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 9800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '9800.m', 'trace_hash': 703030740808768837}
• 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': '0.21431154706756492439321993444', 'prec': 103}, 'conductor': 9800, 'gens': [[37, 50, 1], [12, 175, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.18645113743696470179906539771', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.63226000006609433691579869812', 'prec': 103}], 'lmfdb_label': '9800.m1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.3327352173970012936787795551', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9705324541257355759860349912457580792', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': [-63, -29, -23, 12, 27, 28, 33, 37, 51, 61, 187, 237, 8227, 13977]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': 'a', '7': 'a', '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [4, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '9800.m1'}
• ec_torsion_growth •

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

  
  
  • id: 509485
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '9800.m1', 'torsion': [2]}
  • id: 509486
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '9800.m1', 'torsion': [2, 2]}
  • id: 509487
    {'degree': 8, 'field': [-1851, -2982, -2320, -1134, -240, -56, -12, 0, 1], 'lmfdb_label': '9800.m1', 'torsion': [3]}
  • id: 509488
    {'degree': 12, 'field': [-6250, 15800, -17020, 12292, -8240, 4908, -2104, 484, 48, -70, 32, -6, 1], 'lmfdb_label': '9800.m1', 'torsion': [4]}
• 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: 206873
    {'conductor': 9800, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '9800.m1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 206874
    {'conductor': 9800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '9800.m1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 206875
    {'conductor': 9800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9800.m1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  {'adelic_gens': [[69, 2, 68, 3], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [57, 2, 57, 3], [1, 1, 69, 0]], 'adelic_image': '70.2.0.?', 'conductor': 9800, 'lmfdb_label': '9800.m1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 411824
    {'lmfdb_iso': '9800.m', 'p': 11, 'prec': 20, 'unit': 11157838437487325207, 'val': 2}
  • id: 411829
    {'lmfdb_iso': '9800.m', 'p': 13, 'prec': 20, 'unit': 995788356671434128849, 'val': 2}
  • id: 411831
    {'lmfdb_iso': '9800.m', 'p': 17, 'prec': 20, 'unit': 152305906609818643773661, 'val': 2}
  • id: 411832
    {'lmfdb_iso': '9800.m', 'p': 19, 'prec': 20, 'unit': 1742059163420022509348566, 'val': 2}
  • id: 411836
    {'lmfdb_iso': '9800.m', 'p': 23, 'prec': 20, 'unit': 459478573785957531773154, 'val': 3}
  • id: 411828
    {'lmfdb_iso': '9800.m', 'p': 29, 'prec': 20, 'unit': 2735457874319536153342606821, 'val': 2}
  • id: 411841
    {'lmfdb_iso': '9800.m', 'p': 31, 'prec': 20, 'unit': 4984405387556310392546048106, 'val': 2}
  • id: 411825
    {'lmfdb_iso': '9800.m', 'p': 37, 'prec': 20, 'unit': 303959670693203798379313745377, 'val': 2}
  • id: 411826
    {'lmfdb_iso': '9800.m', 'p': 41, 'prec': 20, 'unit': 1676960151107684865637469326235, 'val': 2}
  • id: 411827
    {'lmfdb_iso': '9800.m', 'p': 43, 'prec': 20, 'unit': 10456882419918786292521871343737, 'val': 2}
  • id: 411838
    {'lmfdb_iso': '9800.m', 'p': 47, 'prec': 20, 'unit': 21378664219999600742918443158768, 'val': 2}
  • id: 411833
    {'lmfdb_iso': '9800.m', 'p': 53, 'prec': 20, 'unit': 477050503129812473467642771348274, 'val': 2}
  • id: 411834
    {'lmfdb_iso': '9800.m', 'p': 59, 'prec': 20, 'unit': 2891140869645401587525215262150730, 'val': 2}
  • id: 411839
    {'lmfdb_iso': '9800.m', 'p': 61, 'prec': 20, 'unit': 4471840358825670412962073546145441, 'val': 2}
  • id: 411823
    {'lmfdb_iso': '9800.m', 'p': 67, 'prec': 20, 'unit': 38467378124253655832099507169951897, 'val': 2}
  • id: 411835
    {'lmfdb_iso': '9800.m', 'p': 73, 'prec': 20, 'unit': 64232634151479492219936023142226157, 'val': 2}
  • id: 411830
    {'lmfdb_iso': '9800.m', 'p': 79, 'prec': 20, 'unit': 292475040721812449230839973203495649, 'val': 2}
  • id: 411840
    {'lmfdb_iso': '9800.m', 'p': 83, 'prec': 20, 'unit': 2156982463982157104550510986746720482, 'val': 2}
  • id: 411837
    {'lmfdb_iso': '9800.m', 'p': 89, 'prec': 20, 'unit': 9561470638065315270972233086888057182, 'val': 2}
  • id: 411822
    {'lmfdb_iso': '9800.m', 'p': 97, 'prec': 20, 'unit': 29872625881727234030160334739349471414, 'val': 2}