Elliptic curve data - 30420.l1

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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': '30420i', 'Clabel': '30420i1', 'Cnumber': 1, 'abc_quality': 1.0723611999657963, 'absD': 120049684642789200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -123708, -1606007], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 30420, 'degree': 258048, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9668994719122990028906595813', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [3718856704, 2132325], 'lmfdb_iso': '30420.l', 'lmfdb_label': '30420.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -81, 0], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '24.12.0-4.b.1.2', '26.6.0.b.1', '52.12.0.e.1', '260.24.0.?', '312.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5457628614493702150974124943', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 8, 3380], [5, 6, 6084], [13, 98, 180]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.095930411339172647306117465097', 'prec': 110}, 'szpiro_ratio': 4.5327225999689205, '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, 0, 0, 0, -1, 0, 2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, 0, -1, 2, -6, 0, 2, 2, 4, -2, 2, -2, -6, 0, 6, 2, -6, 14, -2, -10, 6, 4, 2, -14, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 30420, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '30420.l', 'trace_hash': 1346056923964220987}
• 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': '0.019569188913687134706239303447', 'prec': 107}, 'conductor': 30420, 'gens': [[494, 7605, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5457628614493702150974124943', 'prec': 100}], 'lmfdb_label': '30420.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27625355589201356806772543369', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1242698444944290383176565192611678640', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-13, 0, 1]], 'xcoord_integral_points': [-256, -13, 494, 612]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '30420.l1'}
• ec_torsion_growth •

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

  
  
  • id: 1520260
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '30420.l1', 'torsion': [2, 2]}
  • id: 1520261
    {'degree': 4, 'field': [34, -4, -4, -2, 1], 'lmfdb_label': '30420.l1', 'torsion': [4]}
  • id: 1520262
    {'degree': 8, 'field': [-339531, 370650, -103814, -82, 2207, 206, -64, -4, 1], 'lmfdb_label': '30420.l1', 'torsion': [2, 4]}
  • id: 1520263
    {'degree': 8, 'field': [9, 36, 72, 78, 55, 26, 2, -2, 1], 'lmfdb_label': '30420.l1', 'torsion': [2, 4]}
  • id: 1520264
    {'degree': 8, 'field': [20592, 58136, -3653, 1287, 52, -91, 36, -1, 1], 'lmfdb_label': '30420.l1', 'torsion': [6]}
  • id: 1520267
    {'degree': 16, 'field': [-125199, 1512072, -1904172, 793848, -430314, 66648, -68028, 41184, -10277, -3584, 3964, -1376, -74, 112, 4, -8, 1], 'lmfdb_label': '30420.l1', 'torsion': [2, 6]}
  • id: 1520266
    {'degree': 16, 'field': [105625, 0, 439712, 0, 740432, 0, 258744, 0, 52682, 0, -14592, 0, 1184, 0, -40, 0, 1], 'lmfdb_label': '30420.l1', 'torsion': [8]}
  • id: 1520265
    {'degree': 16, 'field': [158661, 574362, 527382, 438426, 943330, 344508, 436422, 201678, 128952, 32328, 19778, 762, 1947, -48, 72, 0, 1], 'lmfdb_label': '30420.l1', 'torsion': [4, 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: 708903
    {'conductor': 30420, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '30420.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 708904
    {'conductor': 30420, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '30420.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 708905
    {'conductor': 30420, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30420.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 708906
    {'conductor': 30420, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '30420.l1', '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: 1867378
    {'adelic_gens': [[319, 6, 618, 1555], [1, 0, 8, 1], [1, 8, 0, 1], [781, 528, 0, 1], [1, 4, 4, 17], [794, 519, 1137, 1556], [3, 8, 28, 75], [1553, 8, 1552, 9], [5, 8, 48, 77], [1177, 6, 1554, 1555], [1039, 0, 0, 1559]], 'adelic_image': '1560.48.0.?', 'conductor': 30420, 'lmfdb_label': '30420.l1', 'prime': 0}
  • id: 136701
    {'conductor': 30420, 'elladic_image': '4.6.0.3', 'lmfdb_label': '30420.l1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1472625
    {'lmfdb_iso': '30420.l', 'p': 7, 'prec': 20, 'unit': 7133205203698348, 'val': 1}
  • id: 1472627
    {'lmfdb_iso': '30420.l', 'p': 11, 'prec': 20, 'unit': 1604254702551865656, 'val': 1}
  • id: 1472630
    {'lmfdb_iso': '30420.l', 'p': 17, 'prec': 20, 'unit': 188303803502716006779178, 'val': 1}
  • id: 1472621
    {'lmfdb_iso': '30420.l', 'p': 19, 'prec': 20, 'unit': 271534813914955423736442, 'val': 1}
  • id: 1472635
    {'lmfdb_iso': '30420.l', 'p': 23, 'prec': 20, 'unit': 73715169527995985714592366, 'val': 1}
  • id: 1472628
    {'lmfdb_iso': '30420.l', 'p': 29, 'prec': 20, 'unit': 965497861108170743160723001, 'val': 1}
  • id: 1472640
    {'lmfdb_iso': '30420.l', 'p': 31, 'prec': 20, 'unit': 6934631988857824096807732657, 'val': 1}
  • id: 1472624
    {'lmfdb_iso': '30420.l', 'p': 37, 'prec': 20, 'unit': 94442898973596823519249292899, 'val': 1}
  • id: 1472626
    {'lmfdb_iso': '30420.l', 'p': 41, 'prec': 20, 'unit': 1367293271130126362369244967333, 'val': 1}
  • id: 1472638
    {'lmfdb_iso': '30420.l', 'p': 47, 'prec': 20, 'unit': 54397394526473327429364023932885, 'val': 1}
  • id: 1472632
    {'lmfdb_iso': '30420.l', 'p': 53, 'prec': 20, 'unit': 505665575186455345798535076406637, 'val': 1}
  • id: 1472633
    {'lmfdb_iso': '30420.l', 'p': 59, 'prec': 20, 'unit': 2812171460468367607195896638603973, 'val': 1}
  • id: 1472639
    {'lmfdb_iso': '30420.l', 'p': 61, 'prec': 20, 'unit': 2814498475585921316169565421259750, 'val': 1}
  • id: 1472623
    {'lmfdb_iso': '30420.l', 'p': 67, 'prec': 20, 'unit': 37088340487795670868490860937124314, 'val': 1}
  • id: 1472637
    {'lmfdb_iso': '30420.l', 'p': 71, 'prec': 20, 'unit': 73849011736574276938132176020641008, 'val': 1}
  • id: 1472634
    {'lmfdb_iso': '30420.l', 'p': 73, 'prec': 20, 'unit': 32166215118870200971572789776737606, 'val': 1}
  • id: 1472629
    {'lmfdb_iso': '30420.l', 'p': 79, 'prec': 20, 'unit': 172208040104850879615099536670864271, 'val': 1}
  • id: 1472631
    {'lmfdb_iso': '30420.l', 'p': 83, 'prec': 20, 'unit': 1851709316958249161098001129168767886, 'val': 1}
  • id: 1472636
    {'lmfdb_iso': '30420.l', 'p': 89, 'prec': 20, 'unit': 9484205481012369264325765752133625565, 'val': 1}
  • id: 1472622
    {'lmfdb_iso': '30420.l', 'p': 97, 'prec': 20, 'unit': 825566634841911087162248792854094285, 'val': 1}