-
ec_curvedata • Show schema
Hide schema
{'Ciso': '2205d', 'Clabel': '2205d1', 'Cnumber': 1, 'abc_quality': 0.9819964289057446, 'absD': 1157625, 'adelic_genus': 3, 'adelic_index': 72, 'adelic_level': 420, 'ainvs': [1, -1, 1, -62, -164], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2205, 'degree': 384, 'elladic_images': ['2.3.0.1', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.073854520222854866713707263777', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [2803221, 125], 'lmfdb_iso': '2205.c', 'lmfdb_label': '2205.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -62, -164], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '6.9.0.a.1', '12.18.0.c.1', '20.6.0.d.1', '21.6.0.a.1', '30.18.0.c.1', '42.18.0.a.1', '60.36.0.s.1', '84.36.1.?', '210.36.1.?', '420.72.3.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.41283674574767979965758972750', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83498512965371061583885675887', 'prec': 107}, 'szpiro_ratio': 3.1148795996601, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, 0, -1, 1, 0, 0, 3, 0, -1, 2, 0, -6, 0, 0, -1, -6, 0, 6, -1], 'aplist': [-1, 0, 1, 0, 2, -6, -6, 6, 4, -8, 6, -6, -6, 0, 0, -2, -12, 0, 4, 14, 6, 8, -12, 6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 2205, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2205.c', 'trace_hash': 804508722809255443}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '1.1591755740834041440333005550', 'prec': 100}, 'conductor': 2205, 'gens': [[-4, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.41283674574767979965758972750', 'prec': 103}], 'lmfdb_label': '2205.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7082305238744157278783073306', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1156609913895041012004665555086083538', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-5, 2, 1]], 'xcoord_integral_points': [-5, -4, 11, 16, 184]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [5, 0], '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2205.c2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 112087
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '2205.c2', 'torsion': [2, 2]}
-
id: 112088
{'degree': 4, 'field': [16, -4, 3, -1, 1], 'lmfdb_label': '2205.c2', 'torsion': [4]}
-
id: 112091
{'degree': 8, 'field': [1, -5, 1, -2, 7, -5, 1, -2, 1], 'lmfdb_label': '2205.c2', 'torsion': [6]}
-
id: 112089
{'degree': 8, 'field': [400, -100, 275, -10, 34, 4, 2, -2, 1], 'lmfdb_label': '2205.c2', 'torsion': [2, 4]}
-
id: 112090
{'degree': 8, 'field': [1296, 0, -1404, 0, 216, 0, -39, 0, 1], 'lmfdb_label': '2205.c2', 'torsion': [2, 4]}
-
id: 112093
{'degree': 16, 'field': [1, -5, 24, -1, -16, 63, -26, -11, 57, -38, 16, 21, -16, 8, 3, -2, 1], 'lmfdb_label': '2205.c2', 'torsion': [3, 6]}
-
id: 112094
{'degree': 16, 'field': [1, 5, -22, 3, 20, -83, -140, 9, -107, -96, -14, 29, 20, -18, -1, -2, 1], 'lmfdb_label': '2205.c2', 'torsion': [2, 6]}
-
id: 112095
{'degree': 16, 'field': [25, -85, 191, -330, 383, -287, 91, 114, -164, 30, 82, -61, 11, -3, 8, -5, 1], 'lmfdb_label': '2205.c2', 'torsion': [12]}
-
id: 112092
{'degree': 16, 'field': [2800, -5600, 10780, -8260, 7025, -1340, 1586, -700, 1132, -376, -70, 100, 2, -40, 28, -8, 1], 'lmfdb_label': '2205.c2', 'torsion': [8]}
-
ec_localdata • Show schema
Hide schema
-
id: 36941
{'conductor': 2205, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2205.c2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 36942
{'conductor': 2205, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2205.c2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
-
id: 36943
{'conductor': 2205, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2205.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 1678317
{'adelic_gens': [[409, 12, 408, 13], [7, 12, 144, 247], [264, 1, 407, 6], [248, 7, 337, 400], [1, 0, 12, 1], [148, 7, 257, 400], [1, 6, 6, 37], [1, 12, 0, 1], [9, 8, 376, 381], [257, 36, 246, 251]], 'adelic_image': '420.72.3.?', 'conductor': 2205, 'lmfdb_label': '2205.c2', 'prime': 0}
-
id: 10866
{'conductor': 2205, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2205.c2', 'modell_image': '2B', 'prime': 2}
-
id: 10867
{'conductor': 2205, 'elladic_image': '3.3.0.1', 'lmfdb_label': '2205.c2', 'modell_image': '3Nn', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 65838
{'lmfdb_iso': '2205.c', 'p': 11, 'prec': 20, 'unit': 44777717890261026163, 'val': 1}
-
id: 65839
{'lmfdb_iso': '2205.c', 'p': 13, 'prec': 20, 'unit': 1008003283417860647418, 'val': 1}
-
id: 65841
{'lmfdb_iso': '2205.c', 'p': 17, 'prec': 20, 'unit': 27244988312601624092541, 'val': 1}
-
id: 65832
{'lmfdb_iso': '2205.c', 'p': 19, 'prec': 20, 'unit': 269166868220397395110640, 'val': 1}
-
id: 65845
{'lmfdb_iso': '2205.c', 'p': 23, 'prec': 20, 'unit': 4419267877679028153295012, 'val': 1}
-
id: 65848
{'lmfdb_iso': '2205.c', 'p': 29, 'prec': 20, 'unit': 4867157656096077617767879397, 'val': 1}
-
id: 65849
{'lmfdb_iso': '2205.c', 'p': 31, 'prec': 20, 'unit': 10512019137467073732428508403, 'val': 1}
-
id: 65835
{'lmfdb_iso': '2205.c', 'p': 37, 'prec': 20, 'unit': 342134674633565688694466681746, 'val': 1}
-
id: 65837
{'lmfdb_iso': '2205.c', 'p': 41, 'prec': 20, 'unit': 4286726640209337098631822996708, 'val': 1}
-
id: 65843
{'lmfdb_iso': '2205.c', 'p': 53, 'prec': 20, 'unit': 166633968698853937613852361791546, 'val': 1}
-
id: 65847
{'lmfdb_iso': '2205.c', 'p': 59, 'prec': 20, 'unit': 997517510650672469735650432585990, 'val': 1}
-
id: 65834
{'lmfdb_iso': '2205.c', 'p': 67, 'prec': 20, 'unit': 21420387973068617425078798992280102, 'val': 1}
-
id: 65836
{'lmfdb_iso': '2205.c', 'p': 71, 'prec': 20, 'unit': 123031357645604371198793117584812840, 'val': 1}
-
id: 65844
{'lmfdb_iso': '2205.c', 'p': 73, 'prec': 20, 'unit': 102019810410004459956295427159328019, 'val': 1}
-
id: 65840
{'lmfdb_iso': '2205.c', 'p': 79, 'prec': 20, 'unit': 681858207677469867093946326356262475, 'val': 1}
-
id: 65842
{'lmfdb_iso': '2205.c', 'p': 83, 'prec': 20, 'unit': 1802348725999362377025399261622180273, 'val': 1}
-
id: 65846
{'lmfdb_iso': '2205.c', 'p': 89, 'prec': 20, 'unit': 3748954777298278737888536152915036091, 'val': 1}
-
id: 65833
{'lmfdb_iso': '2205.c', 'p': 97, 'prec': 20, 'unit': 37826245295911847358815470121894564313, 'val': 1}