Elliptic curve data - 122018.w1

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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': '122018w', 'Clabel': '122018w1', 'Cnumber': 1, 'abc_quality': 1.1175495064733663, 'absD': 13607275941304448, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, 1, 1, -17449845, 28049357851], 'analytic_rank': 2, 'bad_primes': [2, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 122018, 'degree': 6773760, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6184652199810780835210825262', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1], 'jinv': [-934165699635529, 21632], 'lmfdb_iso': '122018.w', 'lmfdb_label': '122018.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -103253, 12727405], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 18, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.78670403190446818019893599846', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 61009], [7, 2, 61009], [13, 98, 722], [19, 128, 338]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35451088152816289549132966145', 'prec': 103}, 'szpiro_ratio': 5.262852441479337, '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, 1, -1, 1, -4, -1, -2, 1, -2, -4, -3, -1, 0, -2, 4, 1, -6, -2, 0, -4], 'aplist': [1, -1, -4, -2, -3, 0, -6, 0, 0, -8, 2, 8, 5, -4, 6, 4, -11, 10, -5, -6, 11, -14, -7, 10, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 122018, 'isogeny_matrix': [[1]], 'lmfdb_iso': '122018.w', 'trace_hash': 1927448682856984122}
• 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': '0.0053165512880495949002307128696', 'prec': 110}, 'conductor': 122018, 'gens': [[2449, 1986, 1], [21703, -33244, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '0.31066824324895319313417241283', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.5994545820609051374640298118', 'prec': 100}], 'lmfdb_label': '122018.w1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.28789779497665233279255987373', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5125949555506101035697370134584397364', 'prec': 130}, 'tamagawa_product': 42, 'torsion_generators': [], 'xcoord_integral_points': [-3973, -401, 2111, 2335, 2393, 2411, 2449, 2563, 15293]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [6, 0], '5': [2, 0], '7': [6, 0], '11': [2, 0], '13': 'a', '17': [2, 0], '19': 'a', '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [4, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '122018.w1'}
• ec_torsion_growth •

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

  
  
  • id: 5574626
    {'degree': 3, 'field': [7, 13, -1, 1], 'lmfdb_label': '122018.w1', 'torsion': [2]}
  • id: 5574627
    {'degree': 6, 'field': [50, 0, 29, 0, -12, 0, 1], 'lmfdb_label': '122018.w1', 'torsion': [2, 2]}
  • id: 5574628
    {'degree': 8, 'field': [302, -2180, 2234, -109, 58, -7, 7, -4, 1], 'lmfdb_label': '122018.w1', 'torsion': [3]}
  • id: 5574629
    {'degree': 12, 'field': [-181648, -18544, -35112, -91200, -44182, -22002, -3173, -380, -139, -114, -19, 0, 1], 'lmfdb_label': '122018.w1', '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: 3005092
    {'conductor': 122018, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '122018.w1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 3005093
    {'conductor': 122018, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '122018.w1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3005094
    {'conductor': 122018, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '122018.w1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2460439
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 122018, 'lmfdb_label': '122018.w1', 'prime': 0}
  • id: 478871
    {'conductor': 122018, 'elladic_image': '8.2.0.1', 'lmfdb_label': '122018.w1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6382918
    {'lmfdb_iso': '122018.w', 'p': 5, 'prec': 20, 'unit': 94160731605261, 'val': 0}
  • id: 6382919
    {'lmfdb_iso': '122018.w', 'p': 7, 'prec': 20, 'unit': 216025354666278, 'val': 3}
  • id: 6382917
    {'lmfdb_iso': '122018.w', 'p': 11, 'prec': 20, 'unit': 28353252000745091661, 'val': 2}
  • id: 6382925
    {'lmfdb_iso': '122018.w', 'p': 17, 'prec': 20, 'unit': 62850568370698960792904, 'val': 2}
  • id: 6382923
    {'lmfdb_iso': '122018.w', 'p': 29, 'prec': 20, 'unit': 4843402431998037441402533009, 'val': 2}
  • id: 6382920
    {'lmfdb_iso': '122018.w', 'p': 31, 'prec': 20, 'unit': 18521090328491338181239155117, 'val': 2}
  • id: 6382934
    {'lmfdb_iso': '122018.w', 'p': 37, 'prec': 20, 'unit': 13961081837031716175129359245, 'val': 3}
  • id: 6382921
    {'lmfdb_iso': '122018.w', 'p': 41, 'prec': 20, 'unit': 1418146579999663730701301408619, 'val': 2}
  • id: 6382922
    {'lmfdb_iso': '122018.w', 'p': 43, 'prec': 20, 'unit': 3334026903474891120688219592193, 'val': 2}
  • id: 6382932
    {'lmfdb_iso': '122018.w', 'p': 47, 'prec': 20, 'unit': 41572742701533704165563219755314, 'val': 2}
  • id: 6382927
    {'lmfdb_iso': '122018.w', 'p': 53, 'prec': 20, 'unit': 169946309624385522240944876635516, 'val': 2}
  • id: 6382928
    {'lmfdb_iso': '122018.w', 'p': 59, 'prec': 20, 'unit': 3388181202232397196810737526303305, 'val': 2}
  • id: 6382933
    {'lmfdb_iso': '122018.w', 'p': 61, 'prec': 20, 'unit': 3850128684111854269059862656603957, 'val': 2}
  • id: 6382916
    {'lmfdb_iso': '122018.w', 'p': 67, 'prec': 20, 'unit': 1816217775962635708572581833783084, 'val': 2}
  • id: 6382931
    {'lmfdb_iso': '122018.w', 'p': 71, 'prec': 20, 'unit': 101754937253294258742335038408171492, 'val': 2}
  • id: 6382929
    {'lmfdb_iso': '122018.w', 'p': 73, 'prec': 20, 'unit': 102407988933228239299896102323702908, 'val': 2}
  • id: 6382924
    {'lmfdb_iso': '122018.w', 'p': 79, 'prec': 20, 'unit': 441009873906366917931113654092633801, 'val': 2}
  • id: 6382926
    {'lmfdb_iso': '122018.w', 'p': 83, 'prec': 20, 'unit': 2119159692297738004060185119703994345, 'val': 2}
  • id: 6382930
    {'lmfdb_iso': '122018.w', 'p': 89, 'prec': 20, 'unit': 8117520306164904609313334192960282373, 'val': 2}
  • id: 6382915
    {'lmfdb_iso': '122018.w', 'p': 97, 'prec': 20, 'unit': 242427111682576979793489678116106298, 'val': 0}