Elliptic curve data - 44688.di1

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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': '44688cv', 'Clabel': '44688cv4', 'Cnumber': 4, 'abc_quality': 0.9811108308373943, 'absD': 741629177856, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 1, 0, -79592, 8616180], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44688, 'degree': 147456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4210935928847758683004761233', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 86, 'isogeny_degrees': [1, 2, 4], 'jinv': [115714886617, 1539], 'lmfdb_iso': '44688.di', 'lmfdb_label': '44688.di1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -102, 385], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '28.12.0-4.c.1.1', '76.12.0.?', '168.24.0.?', '456.24.0.?', '532.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 931], [3, 4, 14896], [7, 26, 912], [19, 20, 2352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24500866220282609366943236988', 'prec': 107}, 'szpiro_ratio': 4.246349831411707, '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, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, -6, 0, 2, 0, 6, 0, -1, 0], 'aplist': [0, 1, 2, 0, 0, -6, 6, -1, -4, 2, 8, -10, 2, 4, 12, -6, -12, 2, 4, 0, -10, 0, 16, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 44688, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '44688.di', 'trace_hash': 263607380226122546}
• 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': '0.058298017825310184876886224500', 'prec': 107}, 'conductor': 44688, 'gens': [], 'heights': [], 'lmfdb_label': '44688.di1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.82041140278673591070213439859', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2816456111469436428085375943540870049', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[163, 0, 1]], 'xcoord_integral_points': [163]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '7': 'a', '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '44688.di1'}
• ec_torsion_growth •

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

  
  
  • id: 2186263
    {'degree': 2, 'field': [-33, -1, 1], 'lmfdb_label': '44688.di1', 'torsion': [4]}
  • id: 2186262
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [2, 2]}
  • id: 2186264
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [4]}
  • id: 2186265
    {'degree': 4, 'field': [9, 0, -13, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [2, 4]}
  • id: 2186269
    {'degree': 8, 'field': [-7203, 0, 3773, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [6]}
  • id: 2186266
    {'degree': 8, 'field': [358, -412, 398, 20, 11, -28, 14, -4, 1], 'lmfdb_label': '44688.di1', 'torsion': [2, 4]}
  • id: 2186268
    {'degree': 8, 'field': [729, -486, -702, 342, 435, 54, -32, -4, 1], 'lmfdb_label': '44688.di1', 'torsion': [8]}
  • id: 2186267
    {'degree': 8, 'field': [13203, 16308, -13764, -4992, 2257, 284, -90, -4, 1], 'lmfdb_label': '44688.di1', 'torsion': [8]}
  • id: 2186271
    {'degree': 16, 'field': [81, 378, 1818, 792, 2517, 1110, 1594, 374, 1836, -1052, 1160, -402, 221, -44, 24, -4, 1], 'lmfdb_label': '44688.di1', 'torsion': [2, 8]}
  • id: 2186274
    {'degree': 16, 'field': [59049, 0, -312741, 0, 308367, 0, -69498, 0, -65001, 0, 20306, 0, -906, 0, 0, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [12]}
  • id: 2186270
    {'degree': 16, 'field': [128164, 0, -115224, 0, 182760, 0, 4692, 0, 9805, 0, -480, 0, -6, 0, -12, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [4, 4]}
  • id: 2186275
    {'degree': 16, 'field': [4756761, 0, -6405822, 0, 3669417, 0, -1073848, 0, 180098, 0, -19354, 0, 1360, 0, -56, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [12]}
  • id: 2186273
    {'degree': 16, 'field': [488454201, 0, -176172618, 0, 1642585, 0, -446667, 0, 9840, 0, 8887, 0, 348, 0, 0, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [2, 6]}
  • id: 2186272
    {'degree': 16, 'field': [1840667409, 0, -2073741264, 0, 683925750, 0, -106101348, 0, 8968855, 0, -434140, 0, 11934, 0, -172, 0, 1], 'lmfdb_label': '44688.di1', 'torsion': [2, 8]}
• 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: 1063706
    {'conductor': 44688, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '44688.di1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1063707
    {'conductor': 44688, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '44688.di1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1063708
    {'conductor': 44688, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '44688.di1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1063709
    {'conductor': 44688, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '44688.di1', 'prime': 19, '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: 1961967
    {'adelic_gens': [[3185, 8, 3184, 9], [2227, 2226, 1666, 1891], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2668, 2737, 3143, 918], [2904, 847, 1967, 552], [7, 6, 3186, 3187], [2129, 2744, 308, 1401], [2279, 0, 0, 3191]], 'adelic_image': '3192.48.0.?', 'conductor': 44688, 'lmfdb_label': '44688.di1', 'prime': 0}
  • id: 194161
    {'conductor': 44688, 'elladic_image': '4.6.0.1', 'lmfdb_label': '44688.di1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 44688.di does not appear in ec_padic