Elliptic curve data - 7605.m2

Formats: - HTML - YAML - JSON - 2023-03-22T02:56:37.726064

• 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': '7605e', 'Clabel': '7605e1', 'Cnumber': 1, 'absD': 1431607415355, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 390, 'ainvs': [0, 0, 1, 2028, -45588], 'analytic_rank': 0, 'bad_primes': [3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 7605, 'degree': 8064, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0177600652721895670581464346', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 3], 'jinv': [7077888, 10985], 'lmfdb_iso': '7605.m', 'lmfdb_label': '7605.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 12, -21], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, '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': '-0.53936768562560622381740859541', '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, 0, 0, -2, 1, 0, 1, 0, 0, 0, -3, 0, 0, 0, 0, 4, 3, 0, 4, -2], 'aplist': [0, 0, 1, 1, -3, 0, 3, 4, 9, 6, -2, 1, -3, 2, -6, -9, -12, 5, 4, 9, -14, -7, 0, 15, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 7605, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '7605.m', 'trace_hash': 115385559190707760}
• 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': '0.13061252926732948984186470899', 'prec': 103}, 'conductor': 7605, 'gens': [], 'heights': [], 'lmfdb_label': '7605.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.45030536770891224004526850326', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8012214708356489601810740130375441335', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3, 0], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [4, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '7605.m2'}
• ec_torsion_growth •

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

  
  
  • id: 398746
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '7605.m2', 'torsion': [3]}
  • id: 398747
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '7605.m2', 'torsion': [2]}
  • id: 398750
    {'degree': 6, 'field': [-3, -23, -10, -11, 4, -1, 1], 'lmfdb_label': '7605.m2', 'torsion': [6]}
  • id: 398748
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '7605.m2', 'torsion': [2, 2]}
  • id: 398749
    {'degree': 6, 'field': [1170, -585, 315, -51, 33, -3, 1], 'lmfdb_label': '7605.m2', 'torsion': [3]}
  • id: 398751
    {'degree': 12, 'field': [-855, -630, -216, -792, 69, 732, 96, -120, -17, -46, 12, -4, 1], 'lmfdb_label': '7605.m2', 'torsion': [4]}
  • id: 398753
    {'degree': 12, 'field': [81, 108, -45, -234, 12, 96, -35, -40, 92, -34, 11, -4, 1], 'lmfdb_label': '7605.m2', 'torsion': [2, 6]}
  • id: 398752
    {'degree': 12, 'field': [2304, -6336, 15840, -5028, 2301, -1497, -53, 24, 24, 4, 15, -3, 1], 'lmfdb_label': '7605.m2', 'torsion': [3, 3]}
  • id: 398755
    {'degree': 18, 'field': [485550, -1216800, 1026450, -180105, -88545, -121620, 199042, -135519, 89223, -60345, 33411, -14907, 5813, -2229, 825, -246, 60, -9, 1], 'lmfdb_label': '7605.m2', 'torsion': [6]}
  • id: 398754
    {'degree': 18, 'field': [16832583, 35206650, 47447289, 46779984, 18025713, -6379074, -10831014, -3033414, 194724, 643976, 337437, 133434, 31134, 2016, 54, -174, -72, 0, 1], 'lmfdb_label': '7605.m2', 'torsion': [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: 156932
    {'conductor': 7605, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '7605.m2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 156933
    {'conductor': 7605, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7605.m2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 156934
    {'conductor': 7605, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '7605.m2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1714268
    {'adelic_gens': [[385, 6, 384, 7], [3, 4, 8, 11], [4, 3, 9, 7], [66, 331, 133, 84], [1, 0, 6, 1], [157, 6, 81, 19], [89, 384, 267, 371], [1, 6, 0, 1]], 'adelic_image': '390.16.0.?', 'conductor': 7605, 'lmfdb_label': '7605.m2', 'prime': 0}
  • id: 37393
    {'conductor': 7605, 'elladic_image': '3.4.0.1', 'lmfdb_label': '7605.m2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 7605.m does not appear in ec_padic