Elliptic curve data - 53100.g1

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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': '53100bc', 'Clabel': '53100bc1', 'Cnumber': 1, 'abc_quality': 1.0632613344531352, 'absD': 10971748248480000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 708, 'ainvs': [0, 0, 0, -6651975, 6603499550], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 59], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 53100, 'degree': 1198080, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4352657423256731332584927555', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-279079557819422800, 94065057], 'lmfdb_iso': '53100.g', 'lmfdb_label': '53100.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -739108, -244327688], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['708.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0509456859429647898980245925', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13275], [3, 8, 5900], [5, 14, 2124], [59, 60, 900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88738217347362128974912894499', 'prec': 103}, 'szpiro_ratio': 5.399378928039215, '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, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, -8, 0], 'aplist': [0, 0, 0, -2, 0, 4, 8, -8, -2, 0, 1, 10, -6, 5, -4, 2, 1, -2, 4, -15, -4, 6, 2, 13, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 53100, 'isogeny_matrix': [[1]], 'lmfdb_iso': '53100.g', 'trace_hash': 244352778845121652}
• 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': '0.0076692880955993387042354696136', 'prec': 110}, 'conductor': 53100, 'gens': [[1471, 1206, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0509456859429647898980245925', 'prec': 100}], 'lmfdb_label': '53100.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32632710624269823221104303078', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9736376619844702329855161921298750274', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [1471]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '59': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '53100.g1'}
• ec_torsion_growth •

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

  
  
  • id: 2572194
    {'degree': 3, 'field': [-68, -28, -1, 1], 'lmfdb_label': '53100.g1', 'torsion': [2]}
  • id: 2572195
    {'degree': 6, 'field': [177, 0, 2047, 0, 79, 0, 1], 'lmfdb_label': '53100.g1', 'torsion': [2, 2]}
  • id: 2572196
    {'degree': 8, 'field': [-12199, -7586, 1564, 1366, 614, 38, -4, -2, 1], 'lmfdb_label': '53100.g1', 'torsion': [3]}
  • id: 2572197
    {'degree': 12, 'field': [-222425457, 0, 33807472, 0, -1660437, 0, 13688, 0, 1829, 0, -72, 0, 1], 'lmfdb_label': '53100.g1', '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: 1274106
    {'conductor': 53100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '53100.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1274107
    {'conductor': 53100, 'conductor_valuation': 2, 'discriminant_valuation': 19, 'j_denominator_valuation': 13, 'kodaira_symbol': -17, 'lmfdb_label': '53100.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1274108
    {'conductor': 53100, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '53100.g1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1274109
    {'conductor': 53100, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53100.g1', 'prime': 59, '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': [[473, 2, 473, 3], [1, 2, 0, 1], [1, 0, 2, 1], [707, 2, 706, 3], [61, 2, 61, 3], [1, 1, 707, 0], [355, 2, 355, 3]], 'adelic_image': '708.2.0.?', 'conductor': 53100, 'lmfdb_label': '53100.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2678584
    {'lmfdb_iso': '53100.g', 'p': 7, 'prec': 20, 'unit': 9329778583860593, 'val': 1}
  • id: 2678587
    {'lmfdb_iso': '53100.g', 'p': 13, 'prec': 20, 'unit': 981835887160857598340, 'val': 1}
  • id: 2678589
    {'lmfdb_iso': '53100.g', 'p': 17, 'prec': 20, 'unit': 20091048212033514632455, 'val': 1}
  • id: 2678580
    {'lmfdb_iso': '53100.g', 'p': 19, 'prec': 20, 'unit': 645491065866999943687793, 'val': 1}
  • id: 2678593
    {'lmfdb_iso': '53100.g', 'p': 23, 'prec': 20, 'unit': 45719385717406823631631899, 'val': 1}
  • id: 2678598
    {'lmfdb_iso': '53100.g', 'p': 31, 'prec': 20, 'unit': 392083592403705745700372960486, 'val': -1}
  • id: 2678583
    {'lmfdb_iso': '53100.g', 'p': 37, 'prec': 20, 'unit': 380485110057015109359052122239, 'val': 1}
  • id: 2678585
    {'lmfdb_iso': '53100.g', 'p': 41, 'prec': 20, 'unit': 2039549616002843849821032333398, 'val': 1}
  • id: 2678586
    {'lmfdb_iso': '53100.g', 'p': 43, 'prec': 20, 'unit': 464148940813387741836676250066, 'val': 1}
  • id: 2678588
    {'lmfdb_iso': '53100.g', 'p': 47, 'prec': 20, 'unit': 46200167673210880943854811866700, 'val': 1}
  • id: 2678591
    {'lmfdb_iso': '53100.g', 'p': 53, 'prec': 20, 'unit': 406095288418371188628562678460563, 'val': 1}
  • id: 2678597
    {'lmfdb_iso': '53100.g', 'p': 61, 'prec': 20, 'unit': 4922936664104768973029148246781196, 'val': 1}
  • id: 2678582
    {'lmfdb_iso': '53100.g', 'p': 67, 'prec': 20, 'unit': 23566440120541778127331952088629969, 'val': 1}
  • id: 2678595
    {'lmfdb_iso': '53100.g', 'p': 71, 'prec': 20, 'unit': 42796714498443335636853073758219906, 'val': 1}
  • id: 2678592
    {'lmfdb_iso': '53100.g', 'p': 73, 'prec': 20, 'unit': 106575255513157085969238167868290721, 'val': 1}
  • id: 2678596
    {'lmfdb_iso': '53100.g', 'p': 79, 'prec': 20, 'unit': 67674270831335700484429352030495841, 'val': 1}
  • id: 2678590
    {'lmfdb_iso': '53100.g', 'p': 83, 'prec': 20, 'unit': 2617349121351681031676694508250301283, 'val': 1}
  • id: 2678594
    {'lmfdb_iso': '53100.g', 'p': 89, 'prec': 20, 'unit': 4378401084117860959697940926843934991, 'val': 1}
  • id: 2678581
    {'lmfdb_iso': '53100.g', 'p': 97, 'prec': 20, 'unit': 29292998085286154103492867056813514982, 'val': 1}