Elliptic curve data - 4950.y2

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

  
  {'Ciso': '4950bu', 'Clabel': '4950bu1', 'Cnumber': 1, 'abc_quality': 0.8204006326490144, 'absD': 6264843750, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 264, 'ainvs': [1, -1, 1, 445, -1303], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4950, 'degree': 4320, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56879513150943458782249528490', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3], 'jinv': [34295, 22], 'lmfdb_iso': '4950.y', 'lmfdb_label': '4950.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 2, 1], 'min_quad_twist_disc': -15, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '88.2.0.?', '264.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3827101794302255659240621830', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 2, 550], [5, 14, 198], [11, 12, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0534696211140205076089668890', 'prec': 103}, 'szpiro_ratio': 3.5158610110628477, '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, 0, 1, 0, 0, -4, 1, 0, 0, 1, 0, 5, -4, 0, 1, 0, 0, -7, 0], 'aplist': [1, 0, 0, -4, 1, 5, 0, -7, -3, -3, 5, -4, -12, 5, 0, -6, -12, -10, 14, -3, 8, -4, 15, -3, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 4950, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4950.y', 'trace_hash': 1314670307372029785}
• 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': '0.32059063085447719955399408470', 'prec': 103}, 'conductor': 4950, 'gens': [[15, 143, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3827101794302255659240621830', 'prec': 100}], 'lmfdb_label': '4950.y2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.76765106506494062659692359829', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1934821440912581350396494954638957222', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [3, 3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '4950.y2'}
• ec_torsion_growth •

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

  
  
  • id: 259886
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '4950.y2', 'torsion': [3]}
  • id: 259887
    {'degree': 3, 'field': [-10, -5, 0, 1], 'lmfdb_label': '4950.y2', 'torsion': [2]}
  • id: 259888
    {'degree': 3, 'field': [57, 37, -1, 1], 'lmfdb_label': '4950.y2', 'torsion': [3]}
  • id: 259889
    {'degree': 6, 'field': [22, 0, 37, 0, 4, 0, 1], 'lmfdb_label': '4950.y2', 'torsion': [2, 2]}
  • id: 259891
    {'degree': 6, 'field': [100, -50, 25, -20, 5, 0, 1], 'lmfdb_label': '4950.y2', 'torsion': [6]}
  • id: 259890
    {'degree': 6, 'field': [11163, 183, -182, -3, 4, -3, 1], 'lmfdb_label': '4950.y2', 'torsion': [3, 3]}
  • id: 259892
    {'degree': 9, 'field': [-8, 52, -186, 183, -52, 93, -6, 13, 0, 1], 'lmfdb_label': '4950.y2', 'torsion': [6]}
  • id: 259893
    {'degree': 12, 'field': [-716, 2440, -2340, 344, 1083, -1010, 228, 202, -148, 22, 12, -6, 1], 'lmfdb_label': '4950.y2', 'torsion': [4]}
  • id: 259894
    {'degree': 12, 'field': [484, 0, -814, 0, 1281, 0, -104, 0, -21, 0, -4, 0, 1], 'lmfdb_label': '4950.y2', 'torsion': [2, 6]}
  • id: 259895
    {'degree': 18, 'field': [1, -9, 54, -185, 471, -825, 1046, -642, 303, 183, -84, 69, 114, -75, 69, -16, 9, 0, 1], 'lmfdb_label': '4950.y2', 'torsion': [9]}
  • id: 259896
    {'degree': 18, 'field': [64, 416, 1216, 6744, 24664, 29374, 19077, -24664, -14079, 5042, 5906, -608, -807, 130, 76, -12, -13, 0, 1], 'lmfdb_label': '4950.y2', 'torsion': [3, 6]}
  • id: 259897
    {'degree': 18, 'field': [64, 576, 3216, 10464, 26124, 44004, 47377, 6876, -4884, 132, -99, -288, 1258, 840, 201, -12, -18, 0, 1], 'lmfdb_label': '4950.y2', '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: 96161
    {'conductor': 4950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4950.y2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 96162
    {'conductor': 4950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4950.y2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 96163
    {'conductor': 4950, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '4950.y2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 96164
    {'conductor': 4950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4950.y2', 'prime': 11, '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: 1696403
    {'adelic_gens': [[199, 6, 0, 1], [4, 3, 9, 7], [259, 6, 258, 7], [261, 262, 254, 257], [145, 6, 171, 19], [133, 6, 135, 19], [186, 71, 143, 21], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '264.16.0.?', 'conductor': 4950, 'lmfdb_label': '4950.y2', 'prime': 0}
  • id: 24695
    {'conductor': 4950, 'elladic_image': '3.8.0.2', 'lmfdb_label': '4950.y2', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 181833
    {'lmfdb_iso': '4950.y', 'p': 7, 'prec': 20, 'unit': 878365485431534, 'val': 1}
  • id: 181837
    {'lmfdb_iso': '4950.y', 'p': 13, 'prec': 20, 'unit': 1042483081939626335312, 'val': 1}
  • id: 181829
    {'lmfdb_iso': '4950.y', 'p': 19, 'prec': 20, 'unit': 1713159845473557017724671, 'val': 1}
  • id: 181842
    {'lmfdb_iso': '4950.y', 'p': 23, 'prec': 20, 'unit': 14022809701603625255612221, 'val': 1}
  • id: 181836
    {'lmfdb_iso': '4950.y', 'p': 29, 'prec': 20, 'unit': 5253845851347862909101272962, 'val': 1}
  • id: 181847
    {'lmfdb_iso': '4950.y', 'p': 31, 'prec': 20, 'unit': 3753914775208921107298618028, 'val': 1}
  • id: 181832
    {'lmfdb_iso': '4950.y', 'p': 37, 'prec': 20, 'unit': 601169102497316942343692989004, 'val': 1}
  • id: 181834
    {'lmfdb_iso': '4950.y', 'p': 41, 'prec': 20, 'unit': 846894661119918043270066276914, 'val': 1}
  • id: 181835
    {'lmfdb_iso': '4950.y', 'p': 43, 'prec': 20, 'unit': 8489073461475464940038055338286, 'val': 1}
  • id: 181840
    {'lmfdb_iso': '4950.y', 'p': 53, 'prec': 20, 'unit': 318350168949120087916727765089662, 'val': 1}
  • id: 181845
    {'lmfdb_iso': '4950.y', 'p': 59, 'prec': 20, 'unit': 3574406680955855884213835360394383, 'val': 1}
  • id: 181846
    {'lmfdb_iso': '4950.y', 'p': 61, 'prec': 20, 'unit': 4140233788177899942062973841471637, 'val': 1}
  • id: 181831
    {'lmfdb_iso': '4950.y', 'p': 67, 'prec': 20, 'unit': 4748057350426250887657544046606219, 'val': 1}
  • id: 181844
    {'lmfdb_iso': '4950.y', 'p': 71, 'prec': 20, 'unit': 12837981669252666111155860245410649, 'val': 1}
  • id: 181841
    {'lmfdb_iso': '4950.y', 'p': 73, 'prec': 20, 'unit': 6691917847356717958658365559060354, 'val': 1}
  • id: 181838
    {'lmfdb_iso': '4950.y', 'p': 79, 'prec': 20, 'unit': 1037108581509523376778966492881782587, 'val': 1}
  • id: 181839
    {'lmfdb_iso': '4950.y', 'p': 83, 'prec': 20, 'unit': 385812790831043925589549904723831743, 'val': 1}
  • id: 181843
    {'lmfdb_iso': '4950.y', 'p': 89, 'prec': 20, 'unit': 2922935971956364299254713504697205022, 'val': 1}
  • id: 181830
    {'lmfdb_iso': '4950.y', 'p': 97, 'prec': 20, 'unit': 55989517716412787160630163619151984196, 'val': 1}