Elliptic curve data - 48074.d2

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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': '48074e', 'Clabel': '48074e2', 'Cnumber': 2, 'abc_quality': 0.947172997962475, 'absD': 111104276949224, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 40248, 'ainvs': [1, 1, 1, -8359, 582789], 'analytic_rank': 0, 'bad_primes': [2, 13, 43], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 48074, 'degree': 162540, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3856803396461030218120091489', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-10218313, 17576], 'lmfdb_iso': '48074.d', 'lmfdb_label': '48074.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5, -8], 'min_quad_twist_disc': -43, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '104.2.0.?', '117.36.0.?', '129.24.0.?', '312.24.1.?', '936.72.3.?', '5031.72.0.?', '13416.48.1.?', '40248.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49491971820067818992441210777', 'prec': 107}, 'szpiro_ratio': 3.7184023144597065, '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, 1, -1, 1, 3, -1, 1, 1, -2, 3, 6, -1, 1, 1, -3, 1, -3, -2, -2, 3], 'aplist': [1, -1, 3, 1, 6, 1, -3, -2, 0, -6, -4, 7, 0, 0, 3, 0, -6, -8, 14, 3, -2, 8, 12, 6, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 48074, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '48074.d', 'trace_hash': 1616626304972529975}
• 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': '0.062576799831317310484312854732', 'prec': 107}, 'conductor': 48074, 'gens': [], 'heights': [], 'lmfdb_label': '48074.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.53059490691937034309212936337', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7753541622743330878291642703751257837', 'prec': 130}, 'tamagawa_product': 9, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [2, 0], '5': [0, 0], '7': [2, 0], '11': [0, 0], '13': [1, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': 'a', '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '48074.d2'}
• ec_torsion_growth •

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

  
  
  • id: 2343174
    {'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '48074.d2', 'torsion': [3]}
  • id: 2343175
    {'degree': 2, 'field': [11, -1, 1], 'lmfdb_label': '48074.d2', 'torsion': [3]}
  • id: 2343176
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '48074.d2', 'torsion': [2]}
  • id: 2343177
    {'degree': 4, 'field': [121, -11, -10, -1, 1], 'lmfdb_label': '48074.d2', 'torsion': [3, 3]}
  • id: 2343179
    {'degree': 6, 'field': [-30524, -3458, 2980, 191, -95, -3, 1], 'lmfdb_label': '48074.d2', 'torsion': [6]}
  • id: 2343178
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '48074.d2', 'torsion': [2, 2]}
  • id: 2343180
    {'degree': 6, 'field': [1643, -493, 388, -59, 34, -3, 1], 'lmfdb_label': '48074.d2', 'torsion': [6]}
  • id: 2343181
    {'degree': 12, 'field': [-2920257196, 768778488, -49303220, -10025744, 7237839, -1172370, 58300, 17962, -6112, 382, 12, -6, 1], 'lmfdb_label': '48074.d2', 'torsion': [4]}
  • id: 2343184
    {'degree': 12, 'field': [1320761, 120250, 388749, 109898, 120402, -8982, 26449, -2874, 2134, -138, 73, -2, 1], 'lmfdb_label': '48074.d2', 'torsion': [2, 6]}
  • id: 2343182
    {'degree': 12, 'field': [1667692, -1244464, 1234454, -545500, 310023, -94548, 38659, -8142, 2544, -352, 83, -6, 1], 'lmfdb_label': '48074.d2', 'torsion': [3, 6]}
  • id: 2343183
    {'degree': 12, 'field': [1419233248, 146710432, -218864252, -15444664, 15800008, 747560, -638847, -20074, 14819, 292, -185, -2, 1], 'lmfdb_label': '48074.d2', 'torsion': [2, 6]}
  • id: 2343185
    {'degree': 18, 'field': [-3934487312496, -3508204025664, 1254246133608, 1413189009396, -233368633512, -229493779164, 32770038264, 18096227874, -2543735232, -793991907, 109657587, 20578494, -2732858, -313908, 39360, 2600, -306, -9, 1], 'lmfdb_label': '48074.d2', 'torsion': [9]}
  • id: 2343186
    {'degree': 18, 'field': [2564518475, -2324548815, 2876112234, -1790745347, 1264373298, -584629140, 295319887, -105973425, 41434587, -11773567, 3684006, -826593, 208684, -35811, 7209, -870, 135, -9, 1], 'lmfdb_label': '48074.d2', '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: 1148812
    {'conductor': 48074, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '48074.d2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1148813
    {'conductor': 48074, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '48074.d2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1148814
    {'conductor': 48074, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '48074.d2', 'prime': 43, 'reduction_type': 0, '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: 1984355
    {'adelic_gens': [[11009, 37926, 20898, 10837], [1, 18, 0, 1], [10063, 17802, 39087, 39475], [1, 9, 9, 82], [1, 6, 6, 37], [25285, 17802, 10449, 7999], [40231, 18, 40230, 19], [1, 0, 18, 1], [1, 12, 0, 1], [20125, 17802, 8901, 39475], [24335, 0, 0, 40247]], 'adelic_image': '40248.144.3.?', 'conductor': 48074, 'lmfdb_label': '48074.d2', 'prime': 0}
  • id: 207524
    {'conductor': 48074, 'elladic_image': '3.12.0.1', 'lmfdb_label': '48074.d2', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 48074.d does not appear in ec_padic