Elliptic curve data - 7605.a1

Formats: - HTML - YAML - JSON - 2023-09-25T09:39:53.151815

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7605t', 'Clabel': '7605t1', 'Cnumber': 1, 'absD': 401400694536075, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 1, -46137, -3934278], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 7605, 'degree': 59904, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5730821041280624734608485643', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-18264064, 675], 'lmfdb_iso': '7605.a', 'lmfdb_label': '7605.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -30, 56], 'min_quad_twist_disc': -39, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1173365854635209276259332866', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68619027851368352960576568187', 'prec': 107}, '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, -2, 0, 2, 1, 0, 5, 0, 0, -2, -2, 0, 0, -10, 0, -4, -2, 0, 0, 2], 'aplist': [-2, 0, 1, 5, -2, 0, -2, 0, -6, 4, -7, -2, -6, 1, 8, 4, -12, -13, -7, -12, 15, 3, -8, -14, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 7605, 'isogeny_matrix': [[1]], 'lmfdb_iso': '7605.a', 'trace_hash': 2280365678027830245}
• 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': '0.043016814353009132475964239905', 'prec': 107}, 'conductor': 7605, 'gens': [[287, 2542, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1173365854635209276259332866', 'prec': 100}], 'lmfdb_label': '7605.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16252342098388393029216719276', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6766545088465400337636786886580437284', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [287]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 9, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7605.a1'}
• ec_torsion_growth •

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

  
  
  • id: 399168
    {'degree': 3, 'field': [-26, 0, 0, 1], 'lmfdb_label': '7605.a1', 'torsion': [2]}
  • id: 399169
    {'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '7605.a1', 'torsion': [2, 2]}
  • id: 399170
    {'degree': 8, 'field': [-27, 0, 0, 0, -18, 0, -1, 0, 1], 'lmfdb_label': '7605.a1', 'torsion': [3]}
  • id: 399171
    {'degree': 12, 'field': [-12, 0, 160, 0, -24, 0, 32, 0, 44, 0, 12, 0, 1], 'lmfdb_label': '7605.a1', '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: 157043
    {'conductor': 7605, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '7605.a1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 157044
    {'conductor': 7605, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7605.a1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 157045
    {'conductor': 7605, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '7605.a1', 'prime': 13, 'reduction_type': 0, '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': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 7605, 'lmfdb_label': '7605.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 309917
    {'lmfdb_iso': '7605.a', 'p': 7, 'prec': 20, 'unit': 8494632913698501, 'val': 1}
  • id: 309915
    {'lmfdb_iso': '7605.a', 'p': 11, 'prec': 20, 'unit': 20060942512828085821, 'val': 1}
  • id: 309922
    {'lmfdb_iso': '7605.a', 'p': 17, 'prec': 20, 'unit': 20265289970429079571474, 'val': 1}
  • id: 309927
    {'lmfdb_iso': '7605.a', 'p': 23, 'prec': 20, 'unit': 26836185666577851112221514, 'val': 1}
  • id: 309920
    {'lmfdb_iso': '7605.a', 'p': 29, 'prec': 20, 'unit': 1235994820084981958921911337, 'val': 1}
  • id: 309932
    {'lmfdb_iso': '7605.a', 'p': 31, 'prec': 20, 'unit': 11932329013962252655482543704, 'val': 1}
  • id: 309916
    {'lmfdb_iso': '7605.a', 'p': 37, 'prec': 20, 'unit': 475333991192163343794713617306, 'val': 1}
  • id: 309918
    {'lmfdb_iso': '7605.a', 'p': 41, 'prec': 20, 'unit': 1572235339101533771968726420533, 'val': 1}
  • id: 309919
    {'lmfdb_iso': '7605.a', 'p': 43, 'prec': 20, 'unit': 146838367379346600476882141626771, 'val': -1}
  • id: 309930
    {'lmfdb_iso': '7605.a', 'p': 47, 'prec': 20, 'unit': 40660731814121915708039411603353, 'val': 1}
  • id: 309924
    {'lmfdb_iso': '7605.a', 'p': 53, 'prec': 20, 'unit': 305770277878047026100054052776121, 'val': 1}
  • id: 309925
    {'lmfdb_iso': '7605.a', 'p': 59, 'prec': 20, 'unit': 3293615001717342159425286606445010, 'val': 1}
  • id: 309931
    {'lmfdb_iso': '7605.a', 'p': 61, 'prec': 20, 'unit': 7813344062372154177541577332199019, 'val': 1}
  • id: 309914
    {'lmfdb_iso': '7605.a', 'p': 67, 'prec': 20, 'unit': 33049581573514760076842283385539312, 'val': 1}
  • id: 309929
    {'lmfdb_iso': '7605.a', 'p': 71, 'prec': 20, 'unit': 57785694639516269277495318476241036, 'val': 1}
  • id: 309926
    {'lmfdb_iso': '7605.a', 'p': 73, 'prec': 20, 'unit': 167796491154594272769932656646055921, 'val': 1}
  • id: 309921
    {'lmfdb_iso': '7605.a', 'p': 79, 'prec': 20, 'unit': 1036074267059089658575267800390748885, 'val': 1}
  • id: 309923
    {'lmfdb_iso': '7605.a', 'p': 83, 'prec': 20, 'unit': 737450932119966899499732673290023909, 'val': 1}
  • id: 309928
    {'lmfdb_iso': '7605.a', 'p': 89, 'prec': 20, 'unit': 3450436893589478266828029720868411090, 'val': 1}
  • id: 309913
    {'lmfdb_iso': '7605.a', 'p': 97, 'prec': 20, 'unit': 43816981521424538493332655041294871850, 'val': 1}