-
ec_curvedata • Show schema
Hide schema
{'Ciso': '79200dm', 'Clabel': '79200dm1', 'Cnumber': 1, 'abc_quality': 0.9631437603910471, 'absD': 216513000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, 0, 0, -22125, 1266500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 79200, 'degree': 110592, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1787105723653359754721441632', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [1643032000, 297], 'lmfdb_iso': '79200.bc', 'lmfdb_label': '79200.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -98, 408], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2652377082440255327583539363', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2475], [3, 6, 8800], [5, 14, 3168], [11, 12, 7200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52188811846574171223447418260', 'prec': 107}, 'szpiro_ratio': 3.690424116498498, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, -4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 0, -2, -1, -4, -2, 0, 2, 2, 4, -6, 6, -12, 6, 0, 0, 0, 4, -10, -2, -2, 4, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 79200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '79200.bc', 'trace_hash': 1733628432510535587}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.094664033527079785252872918618', 'prec': 107}, 'conductor': 79200, 'gens': [[79, 108, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2652377082440255327583539363', 'prec': 100}], 'lmfdb_label': '79200.bc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.96730080901735655169678064089', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8954618351348481237826618197127984692', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[85, 0, 1]], 'xcoord_integral_points': [79, 85, 160]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '79200.bc1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 3735344
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '79200.bc1', 'torsion': [2, 2]}
-
id: 3735345
{'degree': 4, 'field': [44, -4, 15, -2, 1], 'lmfdb_label': '79200.bc1', 'torsion': [4]}
-
id: 3735346
{'degree': 8, 'field': [1, 0, -29, 0, 6, 0, -29, 0, 1], 'lmfdb_label': '79200.bc1', 'torsion': [2, 4]}
-
id: 3735348
{'degree': 8, 'field': [274, -11532, -9548, -2032, 120, -64, 46, 0, 1], 'lmfdb_label': '79200.bc1', 'torsion': [6]}
-
id: 3735347
{'degree': 8, 'field': [4224, -2112, 808, -440, 206, -8, 23, -2, 1], 'lmfdb_label': '79200.bc1', 'torsion': [2, 4]}
-
id: 3735350
{'degree': 16, 'field': [-403742844, 550818864, 719021520, -167600016, -14948352, -46167840, 10916928, -882288, 290532, 348744, -37488, 16200, 148, -112, 80, -8, 1], 'lmfdb_label': '79200.bc1', 'torsion': [2, 6]}
-
id: 3735349
{'degree': 16, 'field': [1156301641, -583190256, -70293536, -98219952, 59616436, -391296, 5646112, -1435104, 516298, -34704, 544, 624, 316, -96, -32, 0, 1], 'lmfdb_label': '79200.bc1', 'torsion': [8]}
-
ec_localdata • Show schema
Hide schema
-
id: 1928056
{'conductor': 79200, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '79200.bc1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 1928057
{'conductor': 79200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '79200.bc1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 1928058
{'conductor': 79200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '79200.bc1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 1928059
{'conductor': 79200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '79200.bc1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 2186682
{'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [26, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 79200, 'lmfdb_label': '79200.bc1', 'prime': 0}
-
id: 325999
{'conductor': 79200, 'elladic_image': '8.6.0.4', 'lmfdb_label': '79200.bc1', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 4081937
{'lmfdb_iso': '79200.bc', 'p': 7, 'prec': 20, 'unit': 2191752822389888, 'val': 1}
-
id: 4081940
{'lmfdb_iso': '79200.bc', 'p': 13, 'prec': 20, 'unit': 824252911806241001055, 'val': 1}
-
id: 4081942
{'lmfdb_iso': '79200.bc', 'p': 17, 'prec': 20, 'unit': 131654934984171180205375, 'val': 1}
-
id: 4081945
{'lmfdb_iso': '79200.bc', 'p': 23, 'prec': 20, 'unit': 38257942479129533299030919, 'val': 1}
-
id: 4081949
{'lmfdb_iso': '79200.bc', 'p': 29, 'prec': 20, 'unit': 3818387458140754322456789113, 'val': 1}
-
id: 4081950
{'lmfdb_iso': '79200.bc', 'p': 31, 'prec': 20, 'unit': 3066793166426537497620659418, 'val': 1}
-
id: 4081936
{'lmfdb_iso': '79200.bc', 'p': 37, 'prec': 20, 'unit': 575338216603227178866678652729, 'val': 1}
-
id: 4081938
{'lmfdb_iso': '79200.bc', 'p': 41, 'prec': 20, 'unit': 39806387931114226625246984239, 'val': 2}
-
id: 4081939
{'lmfdb_iso': '79200.bc', 'p': 43, 'prec': 20, 'unit': 7904142963887783041407543197124, 'val': 1}
-
id: 4081941
{'lmfdb_iso': '79200.bc', 'p': 47, 'prec': 20, 'unit': 16763561192056022351356617001651, 'val': 1}
-
id: 4081935
{'lmfdb_iso': '79200.bc', 'p': 67, 'prec': 20, 'unit': 37211277606258688310607584153077263, 'val': 1}
-
id: 4081947
{'lmfdb_iso': '79200.bc', 'p': 71, 'prec': 20, 'unit': 6256708130418615484561959534512333, 'val': 1}
-
id: 4081944
{'lmfdb_iso': '79200.bc', 'p': 73, 'prec': 20, 'unit': 206742051240486604499953152936778808, 'val': 1}
-
id: 4081948
{'lmfdb_iso': '79200.bc', 'p': 79, 'prec': 20, 'unit': 74523714271543418481051653309990813, 'val': 1}
-
id: 4081943
{'lmfdb_iso': '79200.bc', 'p': 83, 'prec': 20, 'unit': 2066268428820213314645520232392255837, 'val': 1}
-
id: 4081946
{'lmfdb_iso': '79200.bc', 'p': 89, 'prec': 20, 'unit': 693360736515570594360323107140192667, 'val': 1}
-
id: 4081934
{'lmfdb_iso': '79200.bc', 'p': 97, 'prec': 20, 'unit': 51827919923023188416757226263913004340, 'val': 1}