Elliptic curve data - 27930.dm1

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

  
  {'Ciso': '27930dn', 'Clabel': '27930dn4', 'Cnumber': 4, 'abc_quality': 0.962838731498289, 'absD': 5239057031250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [1, 0, 0, -30430, 2037650], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27930, 'degree': 98304, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3358726237792105874131138311', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 90, 'isogeny_degrees': [1, 2, 4], 'jinv': [26487576322129, 44531250], 'lmfdb_iso': '27930.dm', 'lmfdb_label': '27930.dm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -621, -6207], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '56.24.0-8.m.1.1', '456.24.0.?', '1596.12.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36291754925155393486043745938', 'prec': 103}, 'szpiro_ratio': 4.159544624602352, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 0, 1, 1, 1, 4, 1, -2, 0, 1, 1, -2, 1, 1, 1], 'aplist': [1, 1, 1, 0, 4, -2, -2, 1, 4, 6, -4, -6, -10, -4, 12, 6, 12, 2, 4, 8, 6, -4, 12, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 27930, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '27930.dm', 'trace_hash': 2141304732966715403}
• 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': '0.069131468438177900098828109557', 'prec': 107}, 'conductor': 27930, 'gens': [], 'heights': [], 'lmfdb_label': '27930.dm1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.76492336313327527982491118018', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1193869050662022385992894414715927146', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[415, -415, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '5': [1, 0], '7': 'a', '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '27930.dm1'}
• ec_torsion_growth •

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

  
  
  • id: 1399684
    {'degree': 2, 'field': [-399, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [4]}
  • id: 1399683
    {'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [2, 2]}
  • id: 1399685
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [4]}
  • id: 1399686
    {'degree': 4, 'field': [625, 0, -64, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [2, 4]}
  • id: 1399690
    {'degree': 8, 'field': [-115248, 0, 56252, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [6]}
  • id: 1399688
    {'degree': 8, 'field': [2832, 2928, -4800, -528, 1054, 34, -69, -2, 1], 'lmfdb_label': '27930.dm1', 'torsion': [8]}
  • id: 1399689
    {'degree': 8, 'field': [8486, -2360, 2948, -1216, 709, -124, 46, -4, 1], 'lmfdb_label': '27930.dm1', 'torsion': [8]}
  • id: 1399687
    {'degree': 8, 'field': [67600, 0, 87584, 0, 264, 0, 56, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [2, 4]}
  • id: 1399692
    {'degree': 16, 'field': [-346232, -2962416, -2862232, 5556976, 5651180, -3091056, -3425704, 502368, 821206, -4620, -89822, -4252, 4635, 260, -110, -4, 1], 'lmfdb_label': '27930.dm1', 'torsion': [2, 8]}
  • id: 1399693
    {'degree': 16, 'field': [5416450, 2583880, 650004, -7552728, 6716874, -4187376, 2555584, -1123160, 454323, -135144, 47304, -12120, 2930, -448, 84, -8, 1], 'lmfdb_label': '27930.dm1', 'torsion': [2, 8]}
  • id: 1399691
    {'degree': 16, 'field': [17850625, 0, 0, 0, 119301004, 0, 0, 0, -600282, 0, 0, 0, 652, 0, 0, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [4, 4]}
  • id: 1399695
    {'degree': 16, 'field': [941559525, 4230373500, -5018078160, -10820233224, -6945193668, -603069300, 637270632, 146207640, -5529954, -3048708, 479080, 117072, -3480, -932, -24, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [12]}
  • id: 1399696
    {'degree': 16, 'field': [1383840000, 0, 52992000, 0, 230572800, 0, -53440256, 0, 3814112, 0, -156416, 0, 5296, 0, -112, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [12]}
  • id: 1399694
    {'degree': 16, 'field': [70584597343296, 0, -22298995392, 0, 63657125776, 0, -4637922144, 0, 74785536, 0, -703736, 0, 16116, 0, -228, 0, 1], 'lmfdb_label': '27930.dm1', 'torsion': [2, 6]}
• 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: 646580
    {'conductor': 27930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '27930.dm1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 646581
    {'conductor': 27930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '27930.dm1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 646582
    {'conductor': 27930, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '27930.dm1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 646583
    {'conductor': 27930, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '27930.dm1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 646584
    {'conductor': 27930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '27930.dm1', 'prime': 19, '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

  
  
  • id: 1850466
    {'adelic_gens': [[3185, 8, 3184, 9], [1, 0, 8, 1], [1, 8, 0, 1], [2003, 1540, 2954, 1317], [1, 4, 4, 17], [1688, 1827, 2765, 2738], [288, 2345, 2443, 2430], [7, 6, 3186, 3187], [1072, 1827, 1981, 2738], [2279, 0, 0, 3191]], 'adelic_image': '3192.48.0.?', 'conductor': 27930, 'lmfdb_label': '27930.dm1', 'prime': 0}
  • id: 126322
    {'conductor': 27930, 'elladic_image': '8.12.0.11', 'lmfdb_label': '27930.dm1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 27930.dm does not appear in ec_padic