Elliptic curve data - 129360.fy1

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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': '129360hs', 'Clabel': '129360hs2', 'Cnumber': 2, 'abc_quality': 1.0050597653654447, 'absD': 51744000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4620, 'ainvs': [0, 1, 0, -37445, -2801457], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 129360, 'degree': 186624, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0632870542693607098632166064', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 154, 'isogeny_degrees': [1, 3], 'jinv': [462893166690304, 4125], 'lmfdb_iso': '129360.fy', 'lmfdb_label': '129360.fy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -37445, 2801457], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '84.8.0.?', '330.8.0.?', '4620.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5413068636208038334821952640', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27687057572017828606750306819', 'prec': 103}, 'szpiro_ratio': 3.67070636365229, '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, 1, 0, 0, 0, 1, 0, -1, 0, -5, 0, 1, 0, 0, 0, 2, 0], 'aplist': [0, 1, 1, 0, -1, -5, 0, 2, 3, 3, 8, 8, -3, -5, 3, -9, 0, -2, -14, -12, 10, -8, 6, 0, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 129360, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '129360.fy', 'trace_hash': 2081188681143931386}
• 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': '0.11924511570051906818743171889', 'prec': 103}, 'conductor': 129360, 'gens': [[-9077, 62, 9]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5413068636208038334821952640', 'prec': 100}], 'lmfdb_label': '129360.fy1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.34320225259993983493050467138', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3515204720533658389845321485688162097', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 1], '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '129360.fy1'}
• ec_torsion_growth •

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

  
  
  • id: 5881929
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '129360.fy1', 'torsion': [3]}
  • id: 5881930
    {'degree': 3, 'field': [-14, -42, 0, 1], 'lmfdb_label': '129360.fy1', 'torsion': [2]}
  • id: 5881932
    {'degree': 6, 'field': [-121968, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '129360.fy1', 'torsion': [3]}
  • id: 5881931
    {'degree': 6, 'field': [-1485, -495, 454, 81, -38, -3, 1], 'lmfdb_label': '129360.fy1', 'torsion': [2, 2]}
  • id: 5881933
    {'degree': 6, 'field': [3024, 0, 784, 0, 56, 0, 1], 'lmfdb_label': '129360.fy1', 'torsion': [6]}
  • id: 5881934
    {'degree': 12, 'field': [-33204303, 14443218, 2174094, -2434296, 146243, 127724, 12544, -8480, 829, 38, -58, -4, 1], 'lmfdb_label': '129360.fy1', 'torsion': [4]}
  • id: 5881936
    {'degree': 12, 'field': [423801, 0, 1181733, 0, 537334, 0, 84889, 0, 5334, 0, 133, 0, 1], 'lmfdb_label': '129360.fy1', 'torsion': [2, 6]}
  • id: 5881935
    {'degree': 12, 'field': [14875949089, 731802, 1829541, -4878770, 1829610, 731682, -243795, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '129360.fy1', 'torsion': [3, 3]}
  • id: 5881938
    {'degree': 18, 'field': [-442973513367, 0, 0, 0, 0, 0, 485104851, 0, 0, 0, 0, 0, -126357, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '129360.fy1', 'torsion': [6]}
  • id: 5881937
    {'degree': 18, 'field': [955836570987565, 1415081693649480, 901585712999505, 284327839984312, 49277087385804, 3455370274152, -146267444548, -549341160, 11805130494, 1694273752, -703914, -27890904, -1488340, 285048, 37788, -1016, -291, 0, 1], 'lmfdb_label': '129360.fy1', 'torsion': [9]}
• 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: 3190160
    {'conductor': 129360, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '129360.fy1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3190161
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '129360.fy1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3190162
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '129360.fy1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3190163
    {'conductor': 129360, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '129360.fy1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3190164
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '129360.fy1', 'prime': 11, '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

  
  
  • id: 2506717
    {'adelic_gens': [[4, 3, 9, 7], [2315, 4614, 2316, 4613], [4615, 6, 4614, 7], [2309, 0, 0, 4619], [1928, 387, 1, 1156], [1983, 2, 1990, 7], [1, 6, 0, 1], [3, 4, 8, 11], [4409, 4614, 3987, 4601], [3233, 4614, 2769, 4601], [1, 0, 6, 1]], 'adelic_image': '4620.16.0.?', 'conductor': 129360, 'lmfdb_label': '129360.fy1', 'prime': 0}
  • id: 503800
    {'conductor': 129360, 'elladic_image': '3.4.0.1', 'lmfdb_label': '129360.fy1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 6784652
    {'lmfdb_iso': '129360.fy', 'p': 13, 'prec': 20, 'unit': 593070470841176601833, 'val': 1}
  • id: 6784654
    {'lmfdb_iso': '129360.fy', 'p': 19, 'prec': 20, 'unit': 993500998284549788794009, 'val': 1}
  • id: 6784657
    {'lmfdb_iso': '129360.fy', 'p': 23, 'prec': 20, 'unit': 65013559790136352361965625, 'val': 1}
  • id: 6784651
    {'lmfdb_iso': '129360.fy', 'p': 29, 'prec': 20, 'unit': 1289708374482722767032841854, 'val': 1}
  • id: 6784660
    {'lmfdb_iso': '129360.fy', 'p': 31, 'prec': 20, 'unit': 573833852164792790626659304, 'val': 2}
  • id: 6784647
    {'lmfdb_iso': '129360.fy', 'p': 37, 'prec': 20, 'unit': 574042147002645303945934768434, 'val': 1}
  • id: 6784649
    {'lmfdb_iso': '129360.fy', 'p': 41, 'prec': 20, 'unit': 377580577839694922965189704096, 'val': 1}
  • id: 6784650
    {'lmfdb_iso': '129360.fy', 'p': 43, 'prec': 20, 'unit': 8039791866563062669034754598025, 'val': 1}
  • id: 6784653
    {'lmfdb_iso': '129360.fy', 'p': 47, 'prec': 20, 'unit': 22647685977700858772179848678400, 'val': 1}
  • id: 6784655
    {'lmfdb_iso': '129360.fy', 'p': 53, 'prec': 20, 'unit': 143483747597646838093120304538095, 'val': 1}
  • id: 6784659
    {'lmfdb_iso': '129360.fy', 'p': 61, 'prec': 20, 'unit': 3267713702215235164085214938500826, 'val': 1}
  • id: 6784646
    {'lmfdb_iso': '129360.fy', 'p': 67, 'prec': 20, 'unit': 33231681647135003225826798480507637, 'val': 1}
  • id: 6784648
    {'lmfdb_iso': '129360.fy', 'p': 71, 'prec': 20, 'unit': 98435245962192154875156688761619234, 'val': 1}
  • id: 6784656
    {'lmfdb_iso': '129360.fy', 'p': 73, 'prec': 20, 'unit': 217488480440286797398851974120560483, 'val': 1}
  • id: 6784658
    {'lmfdb_iso': '129360.fy', 'p': 79, 'prec': 20, 'unit': 388555265740855292379606457144039332, 'val': 1}
  • id: 6784645
    {'lmfdb_iso': '129360.fy', 'p': 83, 'prec': 20, 'unit': 2354244796446631553186315633651349881, 'val': 1}
  • id: 6784644
    {'lmfdb_iso': '129360.fy', 'p': 97, 'prec': 20, 'unit': 31001083451656094056402476911701050804, 'val': 1}