Elliptic curve data - 910.e3

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '910e', 'Clabel': '910e2', 'Cnumber': 2, 'abc_quality': 1.0818447636819732, 'absD': 2905108466204672000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [1, 0, 1, 3562177, -168122222], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 910, 'degree': 63504, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8078416331377615494509267249', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [4998853083179567995470359, 2905108466204672000000], 'lmfdb_iso': '910.e', 'lmfdb_label': '910.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3562177, -168122222], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '117.72.0.?', '728.2.0.?', '2184.48.1.?', '6552.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 91], [3, 2, 1], [5, 6, 182], [7, 8, 65], [13, 14, 70]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8078416331377615494509267249', 'prec': 100}, 'szpiro_ratio': 8.346916145571543, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 1, -1, -2, -1, -3, 1, 1, -1, 1, 1, 6, 2, 2, 1], 'aplist': [-1, 1, 1, 1, -3, 1, 6, 2, 9, 6, 5, -7, 9, -10, 3, 0, 12, -1, -13, -12, 11, 17, -6, -6, -19], 'class_deg': 9, 'class_size': 3, 'conductor': 910, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '910.e', 'trace_hash': 663913506603613335}
• 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': '0.0036403215392517334439663396837', 'prec': 110}, 'conductor': 910, 'gens': [], 'heights': [], 'lmfdb_label': '910.e3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.084598146193826076029285804991', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5227666314888693685271444898452830125', 'prec': 130}, 'tamagawa_product': 162, 'torsion_generators': [[784, 55345, 1]], 'xcoord_integral_points': [784]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 1], '5': [1, 0], '7': [3, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '910.e3'}
• ec_torsion_growth •

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

  
  
  • id: 43455
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '910.e3', 'torsion': [3, 3]}
  • id: 43456
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '910.e3', 'torsion': [6]}
  • id: 43458
    {'degree': 6, 'field': [4, -12, 34, -2, -5, -1, 1], 'lmfdb_label': '910.e3', 'torsion': [3, 6]}
  • id: 43457
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '910.e3', 'torsion': [2, 6]}
  • id: 43459
    {'degree': 9, 'field': [155, 70, 85, -108, 77, -49, 4, 2, -2, 1], 'lmfdb_label': '910.e3', 'torsion': [9]}
  • id: 43460
    {'degree': 12, 'field': [-428842, 204196, -34189, -39468, 33817, -10704, 3103, -256, 71, -80, 13, -4, 1], 'lmfdb_label': '910.e3', 'torsion': [12]}
  • id: 43461
    {'degree': 12, 'field': [33124, 0, -182, 0, 911, -1098, 381, -30, 36, -30, 17, -6, 1], 'lmfdb_label': '910.e3', 'torsion': [6, 6]}
  • id: 43462
    {'degree': 18, 'field': [403, 1625, 3341, 4818, 4607, 3082, 1954, 1524, 1931, 1430, 445, -103, 58, 42, 0, -13, 5, -3, 1], 'lmfdb_label': '910.e3', 'torsion': [3, 9]}
  • id: 43463
    {'degree': 18, 'field': [15625, 0, 0, 25000, 0, 0, 15625, 0, 0, 2750, 0, 0, 25, 0, 0, -30, 0, 0, 1], 'lmfdb_label': '910.e3', 'torsion': [3, 9]}
  • id: 43464
    {'degree': 18, 'field': [19683, 0, 0, -18954, 0, 0, 7803, 0, 0, -1872, 0, 0, 289, 0, 0, -26, 0, 0, 1], 'lmfdb_label': '910.e3', 'torsion': [3, 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: 12216
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 21, 'j_denominator_valuation': 21, 'kodaira_symbol': 25, 'lmfdb_label': '910.e3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 12217
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '910.e3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 12218
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '910.e3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 12219
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '910.e3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1670321
    {'adelic_gens': [[10, 9, 3267, 6544], [1, 18, 0, 1], [1, 9, 9, 82], [1516, 9, 1503, 6532], [1649, 3294, 3114, 4285], [1, 6, 6, 37], [3754, 9, 1863, 6544], [1639, 18, 0, 1], [1, 0, 18, 1], [1, 12, 0, 1], [6535, 18, 6534, 19]], 'adelic_image': '6552.144.3.?', 'conductor': 910, 'lmfdb_label': '910.e3', 'prime': 0}
  • id: 4244
    {'conductor': 910, 'elladic_image': '3.24.0.1', 'lmfdb_label': '910.e3', 'modell_image': '3Cs.1.1', 'prime': 3}
• lmfdb_iso 910.e does not appear in ec_padic