Elliptic curve data - 97506.c1

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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': '97506a', 'Clabel': '97506a1', 'Cnumber': 1, 'abc_quality': 0.7267735087155293, 'absD': 2340144, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 65004, 'ainvs': [1, -1, 0, -51, 133], 'analytic_rank': 3, 'bad_primes': [2, 3, 5417], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 97506, 'degree': 32000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.055067562491517555083797211213', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [549353259, 86672], 'lmfdb_iso': '97506.c', 'lmfdb_label': '97506.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -51, 133], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['65004.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 34, 'optimality': 1, 'potential_good_reduction': False, 'rank': 3, 'regulator': {'__RealLiteral__': 0, 'data': '0.89079824822102085384320160138', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 16251], [3, 6, 10834], [5417, 5418, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32972063465854497793260852044', 'prec': 97}, 'szpiro_ratio': 2.038715489013643, '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, 0, 1, -3, 0, -4, -1, 0, 3, -5, 0, -5, 4, 0, 1, -3, 0, -4, -3], 'aplist': [-1, 0, -3, -4, -5, -5, -3, -4, -3, 4, -9, -2, -2, -9, -8, -6, -11, -6, -13, -12, 0, 14, -4, -9, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 97506, 'isogeny_matrix': [[1]], 'lmfdb_iso': '97506.c', 'trace_hash': 892781811906127078}
• 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': '1.1164289177055908152781516386', 'prec': 97}, 'conductor': 97506, 'gens': [[2, 5, 1], [6, 1, 1], [3, -2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.56742493479245900629407574793', 'prec': 97}, {'__RealLiteral__': 0, 'data': '1.1594755356211077516441849872', 'prec': 97}, {'__RealLiteral__': 0, 'data': '1.6737464010804472370080632082', 'prec': 97}], 'lmfdb_label': '97506.c1', 'ngens': 3, 'rank_bounds': [3, 3], 'real_period': {'__RealLiteral__': 0, 'data': '2.4756283051349745421031805891', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '8.8211414298424408297177824351388143008', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-7, -6, -1, 2, 3, 6, 9, 11, 26, 38, 42, 533, 614, 807, 15173, 37586, 114114]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [3, 0], '7': [3, 0], '11': [3, 0], '13': [3, 0], '17': [3, 0], '19': [3, 0], '23': [3, 0], '29': [3, 0], '31': [3, 0], '37': [3, 0], '41': [3, 0], '43': [3, 0], '47': [3, 0], '5417': 'o?'}, 'iwp0': 0, 'lmfdb_label': '97506.c1'}
• ec_torsion_growth •

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

  
  
  • id: 4538713
    {'degree': 3, 'field': [72, -44, -1, 1], 'lmfdb_label': '97506.c1', 'torsion': [2]}
  • id: 4538714
    {'degree': 6, 'field': [-260016, 0, 17689, 0, -266, 0, 1], 'lmfdb_label': '97506.c1', 'torsion': [2, 2]}
  • id: 4538715
    {'degree': 8, 'field': [-67556, -12523, 11602, 1841, -917, -7, 7, -4, 1], 'lmfdb_label': '97506.c1', 'torsion': [3]}
  • id: 4538716
    {'degree': 12, 'field': [7357348, -261148, -1430947, 812040, -241409, -376784, -4751, 23848, 733, -252, -37, -4, 1], 'lmfdb_label': '97506.c1', '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: 2393212
    {'conductor': 97506, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '97506.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2393213
    {'conductor': 97506, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '97506.c1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2393214
    {'conductor': 97506, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '97506.c1', 'prime': 5417, '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

  
  {'adelic_gens': [[10837, 2, 10837, 3], [1, 0, 2, 1], [1, 2, 0, 1], [43337, 2, 43337, 3], [65003, 2, 65002, 3], [1, 1, 65003, 0], [32503, 2, 32503, 3]], 'adelic_image': '65004.2.0.?', 'conductor': 97506, 'lmfdb_label': '97506.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5073782
    {'lmfdb_iso': '97506.c', 'p': 5, 'prec': 20, 'unit': 4750183994262, 'val': 3}
  • id: 5073783
    {'lmfdb_iso': '97506.c', 'p': 7, 'prec': 20, 'unit': 7699096370676927, 'val': 3}
  • id: 5073784
    {'lmfdb_iso': '97506.c', 'p': 11, 'prec': 20, 'unit': 34797750613417886653, 'val': 3}
  • id: 5073785
    {'lmfdb_iso': '97506.c', 'p': 13, 'prec': 20, 'unit': 1168759331998569408197, 'val': 3}
  • id: 5073786
    {'lmfdb_iso': '97506.c', 'p': 17, 'prec': 20, 'unit': 48482060691979330849244, 'val': 3}
  • id: 5073787
    {'lmfdb_iso': '97506.c', 'p': 19, 'prec': 20, 'unit': 83467552451942568319515, 'val': 3}
  • id: 5073788
    {'lmfdb_iso': '97506.c', 'p': 23, 'prec': 20, 'unit': 56266088699698986890991326, 'val': 3}
  • id: 5073789
    {'lmfdb_iso': '97506.c', 'p': 29, 'prec': 20, 'unit': 1223907554400326084584229182, 'val': 3}
  • id: 5073790
    {'lmfdb_iso': '97506.c', 'p': 31, 'prec': 20, 'unit': 15675471926239774152539702808, 'val': 3}
  • id: 5073791
    {'lmfdb_iso': '97506.c', 'p': 37, 'prec': 20, 'unit': 322338027708308093931117369721, 'val': 3}
  • id: 5073792
    {'lmfdb_iso': '97506.c', 'p': 41, 'prec': 20, 'unit': 805791757225499530336890416903, 'val': 3}
  • id: 5073793
    {'lmfdb_iso': '97506.c', 'p': 43, 'prec': 20, 'unit': 2628861999507610171001191361821, 'val': 3}
  • id: 5073794
    {'lmfdb_iso': '97506.c', 'p': 47, 'prec': 20, 'unit': 10894892168741595721088683379504, 'val': 3}
  • id: 5073795
    {'lmfdb_iso': '97506.c', 'p': 53, 'prec': 20, 'unit': 168814568985480917064947121828274, 'val': 3}
  • id: 5073796
    {'lmfdb_iso': '97506.c', 'p': 59, 'prec': 20, 'unit': 1517252714991288539175825852169449, 'val': 3}
  • id: 5073797
    {'lmfdb_iso': '97506.c', 'p': 61, 'prec': 20, 'unit': 1169471077082572950888446825258781, 'val': 3}
  • id: 5073798
    {'lmfdb_iso': '97506.c', 'p': 67, 'prec': 20, 'unit': 49561478868169678630111582962142566, 'val': 3}
  • id: 5073799
    {'lmfdb_iso': '97506.c', 'p': 71, 'prec': 20, 'unit': 82749102568196720773295221952843729, 'val': 3}
  • id: 5073800
    {'lmfdb_iso': '97506.c', 'p': 79, 'prec': 20, 'unit': 250165255174004021589306800791764551, 'val': 3}
  • id: 5073801
    {'lmfdb_iso': '97506.c', 'p': 83, 'prec': 20, 'unit': 1801952453695821947166788116534355238, 'val': 3}
  • id: 5073802
    {'lmfdb_iso': '97506.c', 'p': 89, 'prec': 20, 'unit': 2451868671102026741818228728953303445, 'val': 3}
  • id: 5073803
    {'lmfdb_iso': '97506.c', 'p': 97, 'prec': 20, 'unit': 45990575988939089621901851773128996736, 'val': 3}