Elliptic curve data - 90480.m1

Formats: - HTML - YAML - JSON - 2024-05-15T09:21:40.945423

• 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': '90480bi', 'Clabel': '90480bi1', 'Cnumber': 1, 'abc_quality': 0.9567955883572928, 'absD': 65530659717120000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 9048, 'ainvs': [0, -1, 0, -795880, -273299600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 90480, 'degree': 1190400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1386878593817700774444021827', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-13611534355369215721, 15998696220000], 'lmfdb_iso': '90480.m', 'lmfdb_label': '90480.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -49743, 4270306], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['9048.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4455406788218247680271700612', 'prec': 100}, 'szpiro_ratio': 4.589308352996434, '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, 0, -1, 0, 1, 0, -2, 0, 1, 0, -5, 0, 1, 0, -1, 0, -5, 0, -2, 0], 'aplist': [0, -1, 1, -2, -5, 1, -5, -2, -4, -1, 7, 2, 6, -1, 10, 9, 0, -1, -1, -15, 11, -4, 2, -6, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 90480, 'isogeny_matrix': [[1]], 'lmfdb_iso': '90480.m', 'trace_hash': 298733450452241425}
• 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': '0.013879036832762160107336221370', 'prec': 107}, 'conductor': 90480, 'gens': [], 'heights': [], 'lmfdb_label': '90480.m1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.079914762089718901850873932327', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.63931809671775121480699145861718523966', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '7': [0, 0], '11': [0, 0], '13': [1, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '90480.m1'}
• ec_torsion_growth •

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

  
  
  • id: 4228862
    {'degree': 3, 'field': [-10, 27, 0, 1], 'lmfdb_label': '90480.m1', 'torsion': [2]}
  • id: 4228863
    {'degree': 6, 'field': [11752, 8632, 2174, 112, -7, -2, 1], 'lmfdb_label': '90480.m1', 'torsion': [2, 2]}
  • id: 4228864
    {'degree': 8, 'field': [-115248, 0, -2348, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '90480.m1', 'torsion': [3]}
  • id: 4228865
    {'degree': 12, 'field': [-2931552, 0, 409124, 0, -7935, 0, -88940, 0, 230, 0, 0, 0, 1], 'lmfdb_label': '90480.m1', '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: 2212825
    {'conductor': 90480, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '90480.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2212826
    {'conductor': 90480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90480.m1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2212827
    {'conductor': 90480, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '90480.m1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2212828
    {'conductor': 90480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90480.m1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2212829
    {'conductor': 90480, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '90480.m1', 'prime': 29, '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': [[1249, 2, 1249, 3], [1, 1, 9047, 0], [1393, 2, 1393, 3], [9047, 2, 9046, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3017, 2, 3017, 3], [2263, 2, 0, 1], [4525, 2, 4525, 3]], 'adelic_image': '9048.2.0.?', 'conductor': 90480, 'lmfdb_label': '90480.m1', 'prime': 0}
• lmfdb_iso 90480.m does not appear in ec_padic