Elliptic curve data - 116610.p3

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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': '116610j', 'Clabel': '116610j1', 'Cnumber': 1, 'abc_quality': 0.9819036552920335, 'absD': 66396982836068352000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 35880, 'ainvs': [1, 1, 0, -46246177, -121067821259], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 116610, 'degree': 13547520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9911269991400273137642632486', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [2266162893640266805729, 13755875328000], 'lmfdb_iso': '116610.p', 'lmfdb_label': '116610.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -273646, -55211221], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '104.12.0.?', '120.12.0.?', '184.12.0.?', '690.6.0.?', '780.12.0.?', '1196.12.0.?', '1380.12.0.?', '1560.24.0.?', '2392.24.0.?', '2760.24.0.?', '17940.24.0.?', '35880.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7086523204092589457375195278', 'prec': 100}, 'szpiro_ratio': 5.533928029888637, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 1, 1, 0, -1, 1, -1, 4, -1, 0, 0, -1, 1, 2, -1, -8, 1], 'aplist': [-1, -1, 1, 0, 4, 0, 2, -8, -1, -6, -8, 6, -10, -4, 0, -14, -12, 2, 4, 12, 6, 8, 0, 2, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 116610, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '116610.p', 'trace_hash': 833888526704405312}
• 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': '0.0025231327411536917118640739774', 'prec': 110}, 'conductor': 116610, 'gens': [], 'heights': [], 'lmfdb_label': '116610.p3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.057893626155876052831125641780', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.69472351387051263397350770135774731119', 'prec': 133}, 'tamagawa_product': 12, 'torsion_generators': [[-3934, 1967, 1]], 'xcoord_integral_points': [-3934]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '5': [1, 0], '13': 'a', '23': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '116610.p3'}
• ec_torsion_growth •

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

  
  
  • id: 5346664
    {'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '116610.p3', 'torsion': [2, 2]}
  • id: 5346665
    {'degree': 2, 'field': [49, -1, 1], 'lmfdb_label': '116610.p3', 'torsion': [4]}
  • id: 5346666
    {'degree': 2, 'field': [75, -1, 1], 'lmfdb_label': '116610.p3', 'torsion': [4]}
  • id: 5346667
    {'degree': 4, 'field': [1980, -570, 19, -1, 1], 'lmfdb_label': '116610.p3', 'torsion': [2, 4]}
  • id: 5346671
    {'degree': 8, 'field': [-1336, -1283, 1142, 281, -137, -7, 7, -4, 1], 'lmfdb_label': '116610.p3', 'torsion': [6]}
  • id: 5346668
    {'degree': 8, 'field': [1936, 0, -73916, 0, 21816, 0, 49, 0, 1], 'lmfdb_label': '116610.p3', 'torsion': [2, 4]}
  • id: 5346670
    {'degree': 8, 'field': [3267, -13068, 15420, -4800, 2641, -292, 102, -4, 1], 'lmfdb_label': '116610.p3', 'torsion': [8]}
  • id: 5346669
    {'degree': 8, 'field': [149980, -14720, 15590, -1760, 931, -64, 26, -4, 1], 'lmfdb_label': '116610.p3', 'torsion': [8]}
  • id: 5346675
    {'degree': 16, 'field': [-181179906080, 497451332540, -380344293339, -8455155696, 83443551870, -3369886500, -5546821439, -427107958, 55623567, 9817686, 1468095, -92922, -3955, 2644, -30, -4, 1], 'lmfdb_label': '116610.p3', 'torsion': [2, 6]}
  • id: 5346676
    {'degree': 16, 'field': [213743664, 747925560, 560518972, -1863572, 401724820, -135048232, 45849698, -12195874, 5377211, -645034, 187298, -39254, 2635, -812, 76, -2, 1], 'lmfdb_label': '116610.p3', 'torsion': [12]}
  • id: 5346677
    {'degree': 16, 'field': [263315529, 0, 212513112, 0, 67595454, 0, 11913552, 0, 1246743, 0, 49840, 0, 1494, 0, 0, 0, 1], 'lmfdb_label': '116610.p3', 'torsion': [12]}
  • id: 5346674
    {'degree': 16, 'field': [97906410000, 0, -31217922000, 0, 4348299900, 0, -258554580, 0, 4917241, 0, -40904, 0, 6906, 0, -164, 0, 1], 'lmfdb_label': '116610.p3', 'torsion': [2, 8]}
  • id: 5346673
    {'degree': 16, 'field': [429811360000, 0, -31102868000, 0, -4224000700, 0, 61664220, 0, 16962161, 0, 806304, 0, 20906, 0, 244, 0, 1], 'lmfdb_label': '116610.p3', 'torsion': [2, 8]}
  • id: 5346672
    {'degree': 16, 'field': [1057238424841, -1604150202962, 1216990327442, -559539205252, 166347436253, -30743733352, 3231443550, -198881130, 54315196, -13064730, 1120590, 70928, 18413, -1612, 2, -2, 1], 'lmfdb_label': '116610.p3', 'torsion': [4, 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: 2869784
    {'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '116610.p3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2869785
    {'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '116610.p3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2869786
    {'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '116610.p3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2869787
    {'conductor': 116610, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '116610.p3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2869788
    {'conductor': 116610, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '116610.p3', 'prime': 23, '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: 2426465
    {'adelic_gens': [[7, 6, 35874, 35875], [1, 0, 8, 1], [9608, 24843, 33605, 8282], [1, 8, 0, 1], [1, 4, 4, 17], [8279, 0, 0, 35879], [12884, 8281, 23023, 5526], [17603, 20358, 10010, 30707], [17668, 8281, 32591, 5526], [35873, 8, 35872, 9], [29329, 29328, 22438, 7255]], 'adelic_image': '35880.48.0.?', 'conductor': 116610, 'lmfdb_label': '116610.p3', 'prime': 0}
  • id: 460054
    {'conductor': 116610, 'elladic_image': '4.6.0.1', 'lmfdb_label': '116610.p3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 116610.p does not appear in ec_padic