-
ec_curvedata • Show schema
Hide schema
{'Ciso': '56550w', 'Clabel': '56550w5', 'Cnumber': 5, 'abc_quality': 1.0177399258602655, 'absD': 5150683096215820312500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 30160, 'ainvs': [1, 0, 1, 478124, -3450566602], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 56550, 'degree': 3932160, 'elladic_images': ['16.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8452166832291924210499225767', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [773618103830753999, 329643718157812500], 'lmfdb_iso': '56550.v', 'lmfdb_label': '56550.v5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 19125, -27596883], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.6', '20.12.0-4.c.1.1', '40.24.0-8.n.1.5', '80.48.0.?', '104.24.0.?', '116.12.0.?', '208.48.0.?', '232.24.0.?', '464.48.0.?', '520.48.0.?', '580.24.0.?', '1040.96.0.?', '1160.48.0.?', '2320.96.0.?', '3016.48.0.?', '6032.96.0.?', '15080.96.0.?', '30160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3382315611860945595486880841', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0404977270121422337495429101', 'prec': 100}, 'szpiro_ratio': 5.249694292299258, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -4, 1, -1, 0, 0, 1, 6, -1, 4, 0], 'aplist': [-1, 1, 0, 0, -4, -1, 6, 4, 0, 1, 0, -6, 2, 12, 0, -6, -4, -2, -12, -8, 6, -8, -12, 18, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 56550, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 2, 4, 2], [8, 4, 2, 1, 8, 4], [4, 2, 4, 8, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '56550.v', 'trace_hash': 2286188212194131271}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.0033781286844496960639189210719', 'prec': 110}, 'conductor': 56550, 'gens': [[1507, 25571, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3382315611860945595486880841', 'prec': 100}], 'lmfdb_label': '56550.v5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.063810564137966277562718945420', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4651718954570259082191869116461080882', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[5623, -5627, 2]], 'xcoord_integral_points': [1507, 16168, 64687]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [3, 3], '3': [2, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [2, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '56550.v5'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 2726535
{'degree': 2, 'field': [-36, -1, 1], 'lmfdb_label': '56550.v5', 'torsion': [4]}
-
id: 2726536
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [4]}
-
id: 2726534
{'degree': 2, 'field': [29, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [2, 2]}
-
id: 2726537
{'degree': 4, 'field': [36, 0, 17, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [2, 4]}
-
id: 2726538
{'degree': 4, 'field': [441, 0, 62, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [8]}
-
id: 2726539
{'degree': 4, 'field': [576081, 0, -1498, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [8]}
-
id: 2726543
{'degree': 8, 'field': [-50474, 9869, -10628, 1517, -755, -7, 7, -4, 1], 'lmfdb_label': '56550.v5', 'torsion': [6]}
-
id: 2726541
{'degree': 8, 'field': [12645, 1860, -2086, 456, -237, 8, 2, -4, 1], 'lmfdb_label': '56550.v5', 'torsion': [8]}
-
id: 2726542
{'degree': 8, 'field': [72900, 0, 52340, 0, 5301, 0, 138, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [2, 8]}
-
id: 2726540
{'degree': 8, 'field': [1505845, -946270, 197774, -12818, 2739, -754, 24, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [2, 4]}
-
id: 2726550
{'degree': 16, 'field': [589824, 0, 639958128, 0, -230001200, 0, 1311096, 0, 348285, 0, -124256, 0, -8022, 0, 0, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [12]}
-
id: 2726545
{'degree': 16, 'field': [1092025, 0, -883560, 0, 271266, 0, -51708, 0, 5299, 0, -204, 0, 174, 0, 12, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [2, 8]}
-
id: 2726551
{'degree': 16, 'field': [282340809, 0, 144378288, 0, 16697340, 0, -1297624, 0, -237730, 0, 14624, 0, 508, 0, 40, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [12]}
-
id: 2726549
{'degree': 16, 'field': [121420938006, -142622331606, 170847354213, -59098373532, 36250680726, -8269145856, 3139730955, -337509936, 95693779, -7794872, 1813015, -142868, 27421, -1694, 262, -8, 1], 'lmfdb_label': '56550.v5', 'torsion': [2, 6]}
-
id: 2726547
{'degree': 16, 'field': [1636252863921, 0, 200613377952, 0, 48187416160, 0, -1466418408, 0, 275400879, 0, 4257448, 0, 124800, 0, -312, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [16]}
-
id: 2726544
{'degree': 16, 'field': [2251890396900, 0, 44340271360, 0, 7836651076, 0, 60456092, 0, 8734349, 0, 9716, 0, 4934, 0, -8, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [4, 4]}
-
id: 2726546
{'degree': 16, 'field': [61490690560000, 0, 0, 0, -16373260800, 0, 0, 0, -54406784, 0, 0, 0, 2088, 0, 0, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [16]}
-
id: 2726548
{'degree': 16, 'field': [6120834271710133158976, 0, -37186367212449100672, 0, 176240283401463632, 0, -595783153021680, 0, 1606007812721, 0, -3035875440, 0, 3982628, 0, -3016, 0, 1], 'lmfdb_label': '56550.v5', 'torsion': [16]}
-
ec_localdata • Show schema
Hide schema
-
id: 1359430
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '56550.v5', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1359431
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '56550.v5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
-
id: 1359432
{'conductor': 56550, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '56550.v5', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 1359433
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '56550.v5', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1359434
{'conductor': 56550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '56550.v5', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 2039683
{'adelic_gens': [[15, 2, 30062, 30147], [1, 16, 0, 1], [5, 4, 30156, 30157], [13, 16, 7284, 7225], [30145, 16, 30144, 17], [1, 0, 16, 1], [26398, 7541, 3849, 15090], [12063, 30144, 6024, 30031], [28088, 1, 2159, 10], [13, 16, 11344, 29845]], 'adelic_image': '30160.192.1.?', 'conductor': 56550, 'lmfdb_label': '56550.v5', 'prime': 0}
-
id: 240360
{'conductor': 56550, 'elladic_image': '16.24.0.14', 'lmfdb_label': '56550.v5', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 2864530
{'lmfdb_iso': '56550.v', 'p': 11, 'prec': 20, 'unit': 7144918147077733516, 'val': 1}
-
id: 2864531
{'lmfdb_iso': '56550.v', 'p': 17, 'prec': 20, 'unit': 230849387245126884684857, 'val': 1}
-
id: 2864532
{'lmfdb_iso': '56550.v', 'p': 19, 'prec': 20, 'unit': 1424333239001998825444213, 'val': 1}
-
id: 2864525
{'lmfdb_iso': '56550.v', 'p': 37, 'prec': 20, 'unit': 49320114374393374100801981976, 'val': 1}
-
id: 2864527
{'lmfdb_iso': '56550.v', 'p': 41, 'prec': 20, 'unit': 3510103665446767210502909627468, 'val': 1}
-
id: 2864528
{'lmfdb_iso': '56550.v', 'p': 43, 'prec': 20, 'unit': 4881259559231236360933881033006, 'val': 1}
-
id: 2864533
{'lmfdb_iso': '56550.v', 'p': 53, 'prec': 20, 'unit': 552950712038661307828235732614564, 'val': 1}
-
id: 2864536
{'lmfdb_iso': '56550.v', 'p': 59, 'prec': 20, 'unit': 2782078338290349728119635328144615, 'val': 1}
-
id: 2864537
{'lmfdb_iso': '56550.v', 'p': 61, 'prec': 20, 'unit': 3824870531716166101987430315439962, 'val': 1}
-
id: 2864524
{'lmfdb_iso': '56550.v', 'p': 67, 'prec': 20, 'unit': 26844247001680402641757606964656865, 'val': 1}
-
id: 2864526
{'lmfdb_iso': '56550.v', 'p': 71, 'prec': 20, 'unit': 68640494006785253387369872794495745, 'val': 1}
-
id: 2864534
{'lmfdb_iso': '56550.v', 'p': 73, 'prec': 20, 'unit': 126281932341233727671236956506184132, 'val': 1}
-
id: 2864529
{'lmfdb_iso': '56550.v', 'p': 79, 'prec': 20, 'unit': 703534659839949685647637367187729198, 'val': 1}
-
id: 2864523
{'lmfdb_iso': '56550.v', 'p': 83, 'prec': 20, 'unit': 541960932678085460325392867110196045, 'val': 1}
-
id: 2864535
{'lmfdb_iso': '56550.v', 'p': 89, 'prec': 20, 'unit': 7180939270501548637919711851726862456, 'val': 1}
-
id: 2864522
{'lmfdb_iso': '56550.v', 'p': 97, 'prec': 20, 'unit': 51567345645336888039098798860502823540, 'val': 1}