Elliptic curve data - 285090.ce2

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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': '285090ce', 'Clabel': '285090ce2', 'Cnumber': 2, 'abc_quality': 1.0095412845263863, 'absD': 545828612088802939198075490730, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 614040, 'ainvs': [1, 0, 0, 1244830950, -31268332431570], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 285090, 'degree': 550731776, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3897701978727068197493191689', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 56, 'isogeny_degrees': [1, 7], 'jinv': [213331430131166950008878809576799, 545828612088802939198075490730], 'lmfdb_iso': '285090.ce', 'lmfdb_label': '285090.ce2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1244830950, -31268332431570], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '87720.2.0.?', '614040.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 10965], [3, 4, 95030], [5, 6, 57018], [7, 2, 510], [13, 14, 21930], [17, 18, 16770], [43, 44, 6630]], 'sha': 49, 'sha_primes': [7], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.3897701978727068197493191689', 'prec': 100}, 'szpiro_ratio': 6.024445159334753, '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, 1, 1, 1, 1, 1, 1, 5, 1, -1, 1, 1, 1, 1, 1, 6, 1], 'aplist': [1, 1, 1, 1, 5, -1, 1, 6, -4, 9, -3, 10, 7, 1, 6, -2, -10, -8, -2, 9, -10, -11, 7, -15, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 285090, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '285090.ce', 'trace_hash': 1824347026882557872}
• 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': '0.00015384877850520612713999082031', 'prec': 113}, 'conductor': 285090, 'gens': [], 'heights': [], 'lmfdb_label': '285090.ce2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.015060780716903885362390224042', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '49.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.331695571796065358599693692621437739', 'prec': 130}, 'tamagawa_product': 14, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 285090.ce2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12121208
    {'degree': 3, 'field': [-360, -56, -1, 1], 'lmfdb_label': '285090.ce2', 'torsion': [2]}
  • id: 12121210
    {'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '285090.ce2', 'torsion': [7]}
  • id: 12121209
    {'degree': 6, 'field': [527280, 148560, 22114, 904, -63, -2, 1], 'lmfdb_label': '285090.ce2', 'torsion': [2, 2]}
  • id: 12121211
    {'degree': 7, 'field': [-69360, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '285090.ce2', 'torsion': [7]}
  • id: 12121212
    {'degree': 8, 'field': [-783363, 0, -392692, 0, -3066, 0, 0, 0, 1], 'lmfdb_label': '285090.ce2', 'torsion': [3]}
  • id: 12121213
    {'degree': 12, 'field': [-1158089143793838, 153505555323300, 5204583469087, 260837212800, -96293907795, -1650307128, -448315090, -4101888, -109180, -2460, 1191, 0, 1], 'lmfdb_label': '285090.ce2', 'torsion': [4]}
  • id: 12121214
    {'degree': 18, 'field': [2176782336000000, 338610585600000, 46626140160000, 265752576000, -1028762726400, -290285015040, -43035974144, -6521695744, -88594368, 123878848, 37631960, 5755848, 446713, -51033, 4025, -473, 57, -1, 1], 'lmfdb_label': '285090.ce2', 'torsion': [14]}
  • id: 12121215
    {'degree': 21, 'field': [-921041404978172160, -531908211129227520, -367165218416989440, -137781239274497280, -6164906338671360, 5658020257827840, 926501551234560, 76225526200864, -4964284468192, -3704714429024, -220754971808, 56222241824, 8662805704, 37564968, -99581289, -6955473, 487459, 75131, -203, -371, -7, 1], 'lmfdb_label': '285090.ce2', 'torsion': [14]}
• 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: 7061889
    {'conductor': 285090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '285090.ce2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7061890
    {'conductor': 285090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '285090.ce2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7061891
    {'conductor': 285090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '285090.ce2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7061892
    {'conductor': 285090, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '285090.ce2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7061893
    {'conductor': 285090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '285090.ce2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7061894
    {'conductor': 285090, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '285090.ce2', 'prime': 43, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• ec_galrep •

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

  
  
  • id: 3461583
    {'adelic_gens': [[409361, 14, 409367, 99], [153513, 263168, 307006, 241193], [8, 5, 91, 57], [614027, 14, 614026, 15], [245617, 14, 491239, 99], [1, 14, 0, 1], [1, 0, 14, 1], [108361, 14, 144487, 99], [314161, 14, 357007, 99], [307021, 14, 307027, 99], [153511, 14, 460537, 99]], 'adelic_image': '614040.96.2.?', 'conductor': 285090, 'lmfdb_label': '285090.ce2', 'prime': 0}
  • id: 1012014
    {'conductor': 285090, 'elladic_image': '7.48.0.5', 'lmfdb_label': '285090.ce2', 'modell_image': '7B.1.3', 'prime': 7}
• lmfdb_iso 285090.ce does not appear in ec_padic