Elliptic curve data - 102960.eq2

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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': '102960bi', 'Clabel': '102960bi3', 'Cnumber': 3, 'abc_quality': 0.9937812748699064, 'absD': 122103653532278751590400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -15721707, 17118745594], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 102960, 'degree': 11010048, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1366522782458510781674821804', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 120, 'isogeny_degrees': [1, 2, 4], 'jinv': [287849398425814280018, 81784533026485575], 'lmfdb_iso': '102960.eq', 'lmfdb_label': '102960.eq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1746856, 634609900], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '156.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9519612183985130321707301173', 'prec': 100}, 'szpiro_ratio': 5.313182514799825, '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, 0, 0, 1, 0, 4, 0, 0, 0, -1, 0, 1, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 1, 4, -1, 1, 2, -4, -4, -6, 0, 10, 10, -4, 0, -10, -12, -2, -8, -8, -2, 16, -12, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 102960, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '102960.eq', 'trace_hash': 2233621113356545958}
• 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': '0.0018859859272470165473211406864', 'prec': 110}, 'conductor': 102960, 'gens': [], 'heights': [], 'lmfdb_label': '102960.eq2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.097397386278540227147677552024', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1167163609132872687256816647739176660', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-4426, 0, 1]], 'xcoord_integral_points': [-4426]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '11': [0, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '102960.eq2'}
• ec_torsion_growth •

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

  
  
  • id: 4767937
    {'degree': 2, 'field': [-286, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [2, 2]}
  • id: 4767938
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '102960.eq2', 'torsion': [4]}
  • id: 4767939
    {'degree': 2, 'field': [66, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [4]}
  • id: 4767941
    {'degree': 4, 'field': [354, -87, -11, -1, 1], 'lmfdb_label': '102960.eq2', 'torsion': [8]}
  • id: 4767940
    {'degree': 4, 'field': [3202, -152, 153, -2, 1], 'lmfdb_label': '102960.eq2', 'torsion': [2, 4]}
  • id: 4767945
    {'degree': 8, 'field': [-4969107, 0, 0, 0, 7722, 0, -4, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [6]}
  • id: 4767944
    {'degree': 8, 'field': [776088, -223200, 70419, 6198, -125, 28, -63, -2, 1], 'lmfdb_label': '102960.eq2', 'torsion': [2, 8]}
  • id: 4767943
    {'degree': 8, 'field': [21484230625, 0, 10224500, 0, -165000, 0, -220, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [8]}
  • id: 4767942
    {'degree': 8, 'field': [65474062641, 0, -120700476, 0, -505674, 0, -156, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [2, 4]}
  • id: 4767951
    {'degree': 16, 'field': [302439503025, 0, 77630708100, 0, 3587686300, 0, 286469436, 0, 7707942, 0, 349756, 0, 5676, 0, 132, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [12]}
  • id: 4767950
    {'degree': 16, 'field': [56029985561124, 0, 1184030610660, 0, 182175912252, 0, 6853590360, 0, 94044105, 0, 1024800, 0, 11358, 0, 0, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [12]}
  • id: 4767949
    {'degree': 16, 'field': [8696285202515625, 0, -7139574657072, 0, -11575412553276, 0, -2804345544, 0, 931797438, 0, 521664, 0, -66908, 0, -8, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [2, 6]}
  • id: 4767948
    {'degree': 16, 'field': [89511424877160000, 0, -4591009488780000, 0, 114979553403000, 0, -1562201355000, 0, 16677731356, 0, -51278656, 0, 196170, 0, -598, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [16]}
  • id: 4767947
    {'degree': 16, 'field': [5487203419416758601, 0, 2303569184177808, 0, -383577327998672, 0, -104315560744, 0, 11403708870, 0, 327856, 0, -163872, 0, 8, 0, 1], 'lmfdb_label': '102960.eq2', 'torsion': [2, 8]}
  • id: 4767946
    {'degree': 16, 'field': [17233232326461122500, 0, 60924407094770000, 0, 1132136122737700, 0, 1580773833200, 0, 24373443421, 0, 4840364, 0, 259966, 0, -76, 0, 1], 'lmfdb_label': '102960.eq2', '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: 2527832
    {'conductor': 102960, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '102960.eq2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2527833
    {'conductor': 102960, 'conductor_valuation': 2, 'discriminant_valuation': 34, 'j_denominator_valuation': 28, 'kodaira_symbol': -32, 'lmfdb_label': '102960.eq2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2527834
    {'conductor': 102960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '102960.eq2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2527835
    {'conductor': 102960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '102960.eq2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2527836
    {'conductor': 102960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '102960.eq2', 'prime': 13, '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: 2340096
    {'adelic_gens': [[632, 3, 1253, 2], [3425, 8, 3424, 9], [2287, 3424, 2284, 3399], [1, 0, 8, 1], [1288, 3011, 433, 462], [7, 6, 3426, 3427], [3000, 1279, 2975, 2928], [268, 1, 2399, 6], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '3432.48.0.?', 'conductor': 102960, 'lmfdb_label': '102960.eq2', 'prime': 0}
  • id: 412444
    {'conductor': 102960, 'elladic_image': '8.12.0.6', 'lmfdb_label': '102960.eq2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 102960.eq does not appear in ec_padic