Elliptic curve data - 45760.o1

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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': '45760bf', 'Clabel': '45760bf1', 'Cnumber': 1, 'abc_quality': 1.0257824319084718, 'absD': 96347261148531261440000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 440, 'ainvs': [0, -1, 0, -68468641, 520194283841], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 45760, 'degree': 9805824, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6732165026130755271809047618', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [-135412551115258010417641, 367535633653760000000], 'lmfdb_iso': '45760.o', 'lmfdb_label': '45760.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1069822, -1016405644], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['440.2.0.?'], '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': '4.1279573379400551466583780391', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 6, 9152], [7, 2, 9152], [11, 12, 4160], [13, 14, 3520]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6334957317731575630550565796', 'prec': 100}, 'szpiro_ratio': 6.288039579536323, '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, -1, 0, -2, 0, -1, 0, 1, 0, 1, 0, -1, 0, 3, 0], 'aplist': [0, -1, -1, -1, -1, 1, -1, 3, -6, 1, 7, -7, 6, 4, -6, 5, -14, -13, 8, 5, 10, -2, -14, 17, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 45760, 'isogeny_matrix': [[1]], 'lmfdb_iso': '45760.o', 'trace_hash': 1586442029829423444}
• 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': '0.00064488857680805463097628408447', 'prec': 113}, 'conductor': 45760, 'gens': [[10603, 993044, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1279573379400551466583780391', 'prec': 100}], 'lmfdb_label': '45760.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.052945523486081923902532699299', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4969097949671905120343819332757144228', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [10603]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [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': '45760.o1'}
• ec_torsion_growth •

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

  
  
  • id: 2235139
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '45760.o1', 'torsion': [2]}
  • id: 2235140
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '45760.o1', 'torsion': [2, 2]}
  • id: 2235141
    {'degree': 8, 'field': [-588, 0, -4454, 0, -84, 0, 0, 0, 1], 'lmfdb_label': '45760.o1', 'torsion': [3]}
  • id: 2235142
    {'degree': 12, 'field': [-7048, 5472, 17438, 3850, 90, 2172, 182, -362, 50, 20, -11, -1, 1], 'lmfdb_label': '45760.o1', '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: 1090639
    {'conductor': 45760, 'conductor_valuation': 6, 'discriminant_valuation': 37, 'j_denominator_valuation': 19, 'kodaira_symbol': -31, 'lmfdb_label': '45760.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1090640
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '45760.o1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1090641
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '45760.o1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1090642
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '45760.o1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• 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': [[439, 2, 438, 3], [221, 2, 221, 3], [321, 2, 321, 3], [1, 1, 439, 0], [1, 0, 2, 1], [1, 2, 0, 1], [111, 2, 0, 1], [177, 2, 177, 3]], 'adelic_image': '440.2.0.?', 'conductor': 45760, 'lmfdb_label': '45760.o1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2290641
    {'lmfdb_iso': '45760.o', 'p': 7, 'prec': 20, 'unit': 8192031891289226, 'val': 1}
  • id: 2290646
    {'lmfdb_iso': '45760.o', 'p': 17, 'prec': 20, 'unit': 14347061596530246773662, 'val': 1}
  • id: 2290637
    {'lmfdb_iso': '45760.o', 'p': 19, 'prec': 20, 'unit': 776873345889447640184003, 'val': 1}
  • id: 2290651
    {'lmfdb_iso': '45760.o', 'p': 23, 'prec': 20, 'unit': 31433215105069112517905513, 'val': 1}
  • id: 2290644
    {'lmfdb_iso': '45760.o', 'p': 29, 'prec': 20, 'unit': 125458501461865290117711168753, 'val': -1}
  • id: 2290656
    {'lmfdb_iso': '45760.o', 'p': 31, 'prec': 20, 'unit': 12295080936911852166402584299, 'val': 1}
  • id: 2290640
    {'lmfdb_iso': '45760.o', 'p': 37, 'prec': 20, 'unit': 533187414211833992074642253313, 'val': 1}
  • id: 2290642
    {'lmfdb_iso': '45760.o', 'p': 41, 'prec': 20, 'unit': 4038294235117040155957969106368, 'val': 1}
  • id: 2290643
    {'lmfdb_iso': '45760.o', 'p': 43, 'prec': 20, 'unit': 5551736286417631416439493740776, 'val': 1}
  • id: 2290654
    {'lmfdb_iso': '45760.o', 'p': 47, 'prec': 20, 'unit': 57516679159580439494966385019616, 'val': 1}
  • id: 2290648
    {'lmfdb_iso': '45760.o', 'p': 53, 'prec': 20, 'unit': 290306957488820484663697036198217, 'val': 1}
  • id: 2290649
    {'lmfdb_iso': '45760.o', 'p': 59, 'prec': 20, 'unit': 2653770734199487991814569014273170, 'val': 1}
  • id: 2290655
    {'lmfdb_iso': '45760.o', 'p': 61, 'prec': 20, 'unit': 7902217010675754052647451716471040, 'val': 1}
  • id: 2290639
    {'lmfdb_iso': '45760.o', 'p': 67, 'prec': 20, 'unit': 23588814894411132346266024946910544, 'val': 1}
  • id: 2290653
    {'lmfdb_iso': '45760.o', 'p': 71, 'prec': 20, 'unit': 89075116196284557324719516756308807, 'val': 1}
  • id: 2290650
    {'lmfdb_iso': '45760.o', 'p': 73, 'prec': 20, 'unit': 241879661270887089896693836213804957, 'val': 1}
  • id: 2290645
    {'lmfdb_iso': '45760.o', 'p': 79, 'prec': 20, 'unit': 997318869930836773189736948907481706, 'val': 1}
  • id: 2290647
    {'lmfdb_iso': '45760.o', 'p': 83, 'prec': 20, 'unit': 1499646319716447427846347194561324581, 'val': 1}
  • id: 2290652
    {'lmfdb_iso': '45760.o', 'p': 89, 'prec': 20, 'unit': 634495245217207082456157251996267110, 'val': 1}
  • id: 2290638
    {'lmfdb_iso': '45760.o', 'p': 97, 'prec': 20, 'unit': 51216402864983817399152926800678222074, 'val': 1}