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ec_curvedata • Show schema
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{'Ciso': '14586h', 'Clabel': '14586h2', 'Cnumber': 2, 'abc_quality': 0.9869667517544912, 'absD': 2899504554614368272, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2244, 'ainvs': [1, 0, 1, 292714, 54762104], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 14586, 'degree': 304128, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2293332654650940733062542130', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2773679829880629422375, 2899504554614368272], 'lmfdb_iso': '14586.e', 'lmfdb_label': '14586.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 292714, 54762104], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '68.6.0.a.1', '132.48.0.?', '204.48.0.?', '2244.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.93211303552130654193357309234', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2293332654650940733062542130', 'prec': 100}, 'szpiro_ratio': 5.14970817296279, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 0, -1, -4, -1, 1, 0, 1, 1, 1, 4, 0, 1, 1, -1, 2, 0], 'aplist': [-1, 1, 0, -4, 1, 1, 1, 2, 0, -6, 8, 2, -6, 2, -6, 6, 6, -4, -16, 12, -4, 8, -12, 6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 14586, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '14586.e', 'trace_hash': 1308951725126312327}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011577791625606010565847217003', 'prec': 107}, 'conductor': 14586, 'gens': [[-63, 6037, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.93211303552130654193357309234', 'prec': 103}], 'lmfdb_label': '14586.e4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16808338249122457901756708971', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7601450849900200823438435907303750000', 'prec': 130}, 'tamagawa_product': 864, 'torsion_generators': [[1224, 46792, 1]], 'xcoord_integral_points': [-63, 102, 234, 561, 1224, 3369, 8517, 24786]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [7, 1], '3': [4, 0], '5': [1, 1, 0], '7': [1, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14586.e4'}
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ec_torsion_growth • Show schema
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id: 752439
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '14586.e4', 'torsion': [2, 6]}
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id: 752440
{'degree': 4, 'field': [-17, 0, -8, 0, 1], 'lmfdb_label': '14586.e4', 'torsion': [12]}
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id: 752441
{'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '14586.e4', 'torsion': [3, 6]}
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id: 752443
{'degree': 8, 'field': [2293, 1348, 2203, 812, 644, 98, 31, -2, 1], 'lmfdb_label': '14586.e4', 'torsion': [2, 12]}
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id: 752442
{'degree': 8, 'field': [2889, 1188, 672, 300, 154, 20, 32, -4, 1], 'lmfdb_label': '14586.e4', 'torsion': [2, 12]}
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id: 752444
{'degree': 9, 'field': [26428369, -25852134, 18270549, -3492772, 498486, 47757, -6523, -333, -3, 1], 'lmfdb_label': '14586.e4', 'torsion': [18]}
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id: 752445
{'degree': 12, 'field': [18558864, 0, 8953152, 0, 1319152, 0, 101816, 0, 4404, 0, 104, 0, 1], 'lmfdb_label': '14586.e4', 'torsion': [6, 6]}
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id: 752446
{'degree': 16, 'field': [108243216, 0, -96039324, 0, 259676037, 0, -12348681, 0, -3090005, 0, 9554, 0, 1719, 0, 47, 0, 1], 'lmfdb_label': '14586.e4', 'torsion': [24]}
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id: 752447
{'degree': 18, 'field': [52625590983554949, -64835733198186900, 34176576633119811, -11903168557977804, 2940216149977443, -343730710772550, 43134995095323, 2301574004460, -308059952841, 21122103608, 1863823236, -544058928, 13456574, 4578612, 189237, -11864, -504, -6, 1], 'lmfdb_label': '14586.e4', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 321522
{'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '14586.e4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 321523
{'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '14586.e4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 321524
{'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '14586.e4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 321525
{'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '14586.e4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 321526
{'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '14586.e4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1761155
{'adelic_gens': [[2058, 1321, 2057, 1310], [1594, 3, 633, 2236], [409, 12, 210, 73], [1, 0, 12, 1], [1, 6, 6, 37], [11, 2, 2194, 2235], [1505, 2, 1500, 1], [1, 12, 0, 1], [2233, 12, 2232, 13]], 'adelic_image': '2244.96.1.?', 'conductor': 14586, 'lmfdb_label': '14586.e4', 'prime': 0}
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id: 69272
{'conductor': 14586, 'elladic_image': '2.3.0.1', 'lmfdb_label': '14586.e4', 'modell_image': '2B', 'prime': 2}
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id: 69273
{'conductor': 14586, 'elladic_image': '3.8.0.1', 'lmfdb_label': '14586.e4', 'modell_image': '3B.1.1', 'prime': 3}
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ec_padic • Show schema
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id: 652008
{'lmfdb_iso': '14586.e', 'p': 7, 'prec': 20, 'unit': 3786283412806884, 'val': 1}
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id: 652004
{'lmfdb_iso': '14586.e', 'p': 19, 'prec': 20, 'unit': 639571483249041189341725, 'val': 1}
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id: 652011
{'lmfdb_iso': '14586.e', 'p': 29, 'prec': 20, 'unit': 5160371389015411523596415513, 'val': 1}
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id: 652021
{'lmfdb_iso': '14586.e', 'p': 31, 'prec': 20, 'unit': 18587777939411270341699827308, 'val': 1}
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id: 652007
{'lmfdb_iso': '14586.e', 'p': 37, 'prec': 20, 'unit': 574387876249852837871846969833, 'val': 1}
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id: 652009
{'lmfdb_iso': '14586.e', 'p': 41, 'prec': 20, 'unit': 3645239219718037529597886702306, 'val': 1}
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id: 652010
{'lmfdb_iso': '14586.e', 'p': 43, 'prec': 20, 'unit': 6348286907610613681999538180991, 'val': 1}
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id: 652019
{'lmfdb_iso': '14586.e', 'p': 47, 'prec': 20, 'unit': 55142486625984696842193842423641, 'val': 1}
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id: 652015
{'lmfdb_iso': '14586.e', 'p': 53, 'prec': 20, 'unit': 349899838523398598349730899587508, 'val': 1}
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id: 652013
{'lmfdb_iso': '14586.e', 'p': 59, 'prec': 20, 'unit': 2499414474936868854505908289019505, 'val': 1}
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id: 652020
{'lmfdb_iso': '14586.e', 'p': 61, 'prec': 20, 'unit': 812478115614978498052275389863202, 'val': 1}
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id: 652006
{'lmfdb_iso': '14586.e', 'p': 67, 'prec': 20, 'unit': 36438862535067198825284155851596699, 'val': 1}
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id: 652018
{'lmfdb_iso': '14586.e', 'p': 71, 'prec': 20, 'unit': 39829987720636890277802099437492512, 'val': 1}
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id: 652016
{'lmfdb_iso': '14586.e', 'p': 73, 'prec': 20, 'unit': 245431657637512028718003975632967917, 'val': 1}
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id: 652012
{'lmfdb_iso': '14586.e', 'p': 79, 'prec': 20, 'unit': 1066818397286474485988191146899784411, 'val': 1}
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id: 652014
{'lmfdb_iso': '14586.e', 'p': 83, 'prec': 20, 'unit': 100369863372858212923937018438407899, 'val': 1}
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id: 652017
{'lmfdb_iso': '14586.e', 'p': 89, 'prec': 20, 'unit': 7031372611279978497951715435373766463, 'val': 1}
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id: 652005
{'lmfdb_iso': '14586.e', 'p': 97, 'prec': 20, 'unit': 31846796214912922468895771133960479171, 'val': 1}