Elliptic curve data - 61050.l1

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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': '61050c', 'Clabel': '61050c1', 'Cnumber': 1, 'abc_quality': 0.8936186261560999, 'absD': 906592500000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 148, 'ainvs': [1, 1, 0, 22800, -576000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 61050, 'degree': 291840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5586336937686774381524907379', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [134214193775, 92835072], 'lmfdb_iso': '61050.l', 'lmfdb_label': '61050.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 912, -4608], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['148.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6475966333607987813457429324', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 925], [3, 4, 20350], [5, 2, 2442], [11, 12, 5550], [37, 38, 1650]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21743543340692712598519129355', 'prec': 103}, 'szpiro_ratio': 3.78576859118929, '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, 0, 1, 2, -1, 1, 0, -1, -1, 0, -2, 0, 1, 0, -1, -1, 0], 'aplist': [-1, -1, 0, 2, -1, 0, 0, -1, -9, 8, -4, -1, -11, 9, 6, -3, -5, 0, 8, -2, -5, 11, -12, -4, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 61050, 'isogeny_matrix': [[1]], 'lmfdb_iso': '61050.l', 'trace_hash': 185813467241206185}
• 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': '0.044277997863265487444950115472', 'prec': 107}, 'conductor': 61050, 'gens': [[96, 1536, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6475966333607987813457429324', 'prec': 100}], 'lmfdb_label': '61050.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28154801769848364640928617826', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7110205287154259736434000772631763989', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [96]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '61050.l1'}
• ec_torsion_growth •

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

  
  
  • id: 2926196
    {'degree': 3, 'field': [-20, 10, 0, 1], 'lmfdb_label': '61050.l1', 'torsion': [2]}
  • id: 2926197
    {'degree': 6, 'field': [37, 0, 7, 0, 19, 0, 1], 'lmfdb_label': '61050.l1', 'torsion': [2, 2]}
  • id: 2926198
    {'degree': 8, 'field': [-4225144, 515869, -508858, -14023, 7015, -7, 7, -4, 1], 'lmfdb_label': '61050.l1', 'torsion': [3]}
  • id: 2926199
    {'degree': 12, 'field': [-1024, 15274, -259331, -92660, 24935, 21414, 4821, -1224, -395, -130, -1, -4, 1], 'lmfdb_label': '61050.l1', '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: 1470364
    {'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '61050.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1470365
    {'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '61050.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1470366
    {'conductor': 61050, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '61050.l1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1470367
    {'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '61050.l1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1470368
    {'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '61050.l1', 'prime': 37, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [113, 2, 113, 3], [1, 0, 2, 1], [75, 2, 75, 3], [147, 2, 146, 3], [1, 1, 147, 0]], 'adelic_image': '148.2.0.?', 'conductor': 61050, 'lmfdb_label': '61050.l1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3100288
    {'lmfdb_iso': '61050.l', 'p': 7, 'prec': 20, 'unit': 60046719157982, 'val': 1}
  • id: 3100285
    {'lmfdb_iso': '61050.l', 'p': 19, 'prec': 20, 'unit': 1220514134954996552804699, 'val': 1}
  • id: 3100296
    {'lmfdb_iso': '61050.l', 'p': 23, 'prec': 20, 'unit': 70379446727129412833418228, 'val': 1}
  • id: 3100300
    {'lmfdb_iso': '61050.l', 'p': 29, 'prec': 20, 'unit': 1826209517436464243016176551, 'val': 1}
  • id: 3100301
    {'lmfdb_iso': '61050.l', 'p': 31, 'prec': 20, 'unit': 17097156700756022277066915880, 'val': 1}
  • id: 3100289
    {'lmfdb_iso': '61050.l', 'p': 41, 'prec': 20, 'unit': 2564375196621454598718308648143, 'val': 1}
  • id: 3100290
    {'lmfdb_iso': '61050.l', 'p': 43, 'prec': 20, 'unit': 4892180257100276210185192362225, 'val': 1}
  • id: 3100299
    {'lmfdb_iso': '61050.l', 'p': 47, 'prec': 20, 'unit': 21079817252388447797025162218835, 'val': 1}
  • id: 3100294
    {'lmfdb_iso': '61050.l', 'p': 53, 'prec': 20, 'unit': 283025619981169359964986388548298, 'val': 1}
  • id: 3100292
    {'lmfdb_iso': '61050.l', 'p': 59, 'prec': 20, 'unit': 4234648405099831398573454655323693, 'val': 1}
  • id: 3100287
    {'lmfdb_iso': '61050.l', 'p': 67, 'prec': 20, 'unit': 13602310904139551524223708723205731, 'val': 1}
  • id: 3100298
    {'lmfdb_iso': '61050.l', 'p': 71, 'prec': 20, 'unit': 66893183615843642599155806592538104, 'val': 1}
  • id: 3100295
    {'lmfdb_iso': '61050.l', 'p': 73, 'prec': 20, 'unit': 244337825818697102349858259819126446, 'val': 1}
  • id: 3100291
    {'lmfdb_iso': '61050.l', 'p': 79, 'prec': 20, 'unit': 175764390308878537325209079429729457, 'val': 1}
  • id: 3100293
    {'lmfdb_iso': '61050.l', 'p': 83, 'prec': 20, 'unit': 2633243341566134284506874052393046780, 'val': 1}
  • id: 3100297
    {'lmfdb_iso': '61050.l', 'p': 89, 'prec': 20, 'unit': 10634087875113703634427391161455852382, 'val': 1}
  • id: 3100286
    {'lmfdb_iso': '61050.l', 'p': 97, 'prec': 20, 'unit': 732981885671031237430492334391250115, 'val': 1}