Elliptic curve data - 50700.c1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '50700p', 'Clabel': '50700p1', 'Cnumber': 1, 'abc_quality': 1.0781504942966242, 'absD': 2355156828861359328000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, -1, 0, -10243653, -12829937823], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 50700, 'degree': 2822400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8937825295127282484280400063', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-769623354048512, 15247889631], 'lmfdb_iso': '50700.c', 'lmfdb_label': '50700.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -60613, -5821103], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['390.2.0.?'], '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': '7.8363269409028097963944257005', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74685025230013791380628503791', 'prec': 103}, 'szpiro_ratio': 5.54509321743029, '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, -3, 0, 1, 0, -3, 0, 0, 0, 0, 0, 3, 0, 0, 0], 'aplist': [0, -1, 0, -3, -3, 0, 3, 0, 3, 8, -4, -1, 3, -4, 10, -9, -4, 9, -4, -7, 6, -5, -10, -11, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 50700, 'isogeny_matrix': [[1]], 'lmfdb_iso': '50700.c', 'trace_hash': 1580381056388916385}
• 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': '0.0030654372551790788354511859172', 'prec': 110}, 'conductor': 50700, 'gens': [[12407, 1330330, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.8363269409028097963944257005', 'prec': 100}], 'lmfdb_label': '50700.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.042144988298482462205495125168', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9631428867291814560390200488780332058', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [12407]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [3, 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': '50700.c1'}
• ec_torsion_growth •

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

  
  
  • id: 2461202
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '50700.c1', 'torsion': [2]}
  • id: 2461203
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '50700.c1', 'torsion': [2, 2]}
  • id: 2461204
    {'degree': 8, 'field': [-4664, 2669, -2888, 437, -215, -7, 7, -4, 1], 'lmfdb_label': '50700.c1', 'torsion': [3]}
  • id: 2461205
    {'degree': 12, 'field': [-8475, -30200, -43840, -28150, -6909, 4632, 3420, -728, -691, 8, 20, -2, 1], 'lmfdb_label': '50700.c1', '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: 1213632
    {'conductor': 50700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '50700.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1213633
    {'conductor': 50700, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '50700.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1213634
    {'conductor': 50700, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '50700.c1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1213635
    {'conductor': 50700, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '50700.c1', 'prime': 13, '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': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 50700, 'lmfdb_label': '50700.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2549723
    {'lmfdb_iso': '50700.c', 'p': 7, 'prec': 20, 'unit': 10523544316521599, 'val': 1}
  • id: 2549721
    {'lmfdb_iso': '50700.c', 'p': 11, 'prec': 20, 'unit': 20475425117402161873, 'val': 1}
  • id: 2549728
    {'lmfdb_iso': '50700.c', 'p': 17, 'prec': 20, 'unit': 189323554706637169556513, 'val': 1}
  • id: 2549733
    {'lmfdb_iso': '50700.c', 'p': 23, 'prec': 20, 'unit': 54658377996131634415228784, 'val': 1}
  • id: 2549726
    {'lmfdb_iso': '50700.c', 'p': 29, 'prec': 20, 'unit': 4335102803364133312030606852, 'val': 1}
  • id: 2549738
    {'lmfdb_iso': '50700.c', 'p': 31, 'prec': 20, 'unit': 2814849330045270661668391867, 'val': 1}
  • id: 2549722
    {'lmfdb_iso': '50700.c', 'p': 37, 'prec': 20, 'unit': 115684793196910205888040299802, 'val': 1}
  • id: 2549724
    {'lmfdb_iso': '50700.c', 'p': 41, 'prec': 20, 'unit': 232904504051291682745086037625, 'val': 1}
  • id: 2549725
    {'lmfdb_iso': '50700.c', 'p': 43, 'prec': 20, 'unit': 3851223535409370321891094210870, 'val': 1}
  • id: 2549736
    {'lmfdb_iso': '50700.c', 'p': 47, 'prec': 20, 'unit': 3619447912522223955405320392711, 'val': 1}
  • id: 2549730
    {'lmfdb_iso': '50700.c', 'p': 53, 'prec': 20, 'unit': 31883611040121696811936056801024, 'val': 1}
  • id: 2549731
    {'lmfdb_iso': '50700.c', 'p': 59, 'prec': 20, 'unit': 1396969041191664443710851437238133, 'val': 1}
  • id: 2549737
    {'lmfdb_iso': '50700.c', 'p': 61, 'prec': 20, 'unit': 3307157765843705468794521002892609, 'val': 1}
  • id: 2549720
    {'lmfdb_iso': '50700.c', 'p': 67, 'prec': 20, 'unit': 10999580624252262412037761973451905, 'val': 1}
  • id: 2549735
    {'lmfdb_iso': '50700.c', 'p': 71, 'prec': 20, 'unit': 111183978092813899977850254532282106, 'val': 1}
  • id: 2549732
    {'lmfdb_iso': '50700.c', 'p': 73, 'prec': 20, 'unit': 217759983052550766979332761204433250, 'val': 1}
  • id: 2549727
    {'lmfdb_iso': '50700.c', 'p': 79, 'prec': 20, 'unit': 465228753614605486025434566975279717, 'val': 1}
  • id: 2549729
    {'lmfdb_iso': '50700.c', 'p': 83, 'prec': 20, 'unit': 2735551135507451363304517307253704143, 'val': 1}
  • id: 2549734
    {'lmfdb_iso': '50700.c', 'p': 89, 'prec': 20, 'unit': 8323774746784890483703351935945626284, 'val': 1}
  • id: 2549719
    {'lmfdb_iso': '50700.c', 'p': 97, 'prec': 20, 'unit': 1034410085889953058971627532349228992307, 'val': -1}