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ec_curvedata • Show schema
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{'Ciso': '18590i', 'Clabel': '18590i1', 'Cnumber': 1, 'abc_quality': 0.93814512349847, 'absD': 2123795960, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 17160, 'ainvs': [1, 0, 1, -173, 2368], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 18590, 'degree': 9216, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47536920813478393317946399859', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [-117649, 440], 'lmfdb_iso': '18590.g', 'lmfdb_label': '18590.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 1], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '39.8.0-3.a.1.1', '440.2.0.?', '1320.8.0.?', '17160.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8661562663392981886279801240', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80710547059598443484727972219', 'prec': 107}, 'szpiro_ratio': 2.957674619718722, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 1, -1, 1, -1, -2, -1, 1, 1, 0, -1, 1, 1, -3, 2, 1, 1], 'aplist': [-1, 1, 1, 1, 1, 0, -3, 1, 6, -9, -5, -5, 6, 8, -6, 9, -6, 5, -8, 9, 10, 14, 6, 15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 18590, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '18590.g', 'trace_hash': 1609338394611703479}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.38645555300165777353990832791', 'prec': 103}, 'conductor': 18590, 'gens': [[43, 291, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8661562663392981886279801240', 'prec': 100}], 'lmfdb_label': '18590.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2819792812835101506236048161', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7847473381687444761178775029432889631', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': [3, 0], '5': [2, 0], '7': [5, 0], '11': [2, 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, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '18590.g1'}
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ec_torsion_growth • Show schema
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id: 952542
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '18590.g1', 'torsion': [3]}
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id: 952543
{'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '18590.g1', 'torsion': [2]}
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id: 952546
{'degree': 6, 'field': [13, 143, 22, 23, -10, -1, 1], 'lmfdb_label': '18590.g1', 'torsion': [6]}
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id: 952544
{'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '18590.g1', 'torsion': [2, 2]}
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id: 952545
{'degree': 6, 'field': [7407, -537, -119, 156, 7, -3, 1], 'lmfdb_label': '18590.g1', 'torsion': [3]}
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id: 952547
{'degree': 12, 'field': [-201063680, -17674880, -3338080, -20264320, -373488, -11872, -595400, 6624, -460, -472, 2, 0, 1], 'lmfdb_label': '18590.g1', 'torsion': [4]}
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id: 952548
{'degree': 12, 'field': [8100, 28350, 38025, 17325, -3950, -2865, 1823, -942, 123, -33, 14, -3, 1], 'lmfdb_label': '18590.g1', 'torsion': [3, 3]}
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id: 952549
{'degree': 12, 'field': [125921, 30870, -50095, 3106, 6386, -2978, -323, -882, 630, 50, -35, -2, 1], 'lmfdb_label': '18590.g1', 'torsion': [2, 6]}
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id: 952550
{'degree': 18, 'field': [44459, -442845, 465153, 914110, -72324, -279930, -58668, -66906, 42129, 12167, -4815, 5814, -2382, -912, 384, 68, -27, -3, 1], 'lmfdb_label': '18590.g1', 'torsion': [9]}
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id: 952551
{'degree': 18, 'field': [241655392, 278589432, 1305335416, -168639240, 502013512, -59862572, 91891492, -11051667, 12490907, -1706532, 1296376, -162023, 88149, -8497, 3711, -250, 92, -3, 1], 'lmfdb_label': '18590.g1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 419001
{'conductor': 18590, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '18590.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 419002
{'conductor': 18590, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18590.g1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 419003
{'conductor': 18590, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18590.g1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 419004
{'conductor': 18590, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '18590.g1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1788234
{'adelic_gens': [[4, 3, 9, 7], [7801, 1326, 15483, 3979], [12871, 1326, 0, 1], [17155, 6, 17154, 7], [8581, 1326, 663, 3979], [10297, 1326, 5811, 3979], [14519, 0, 0, 17159], [1, 6, 0, 1], [3, 4, 8, 11], [16446, 2041, 13585, 10011], [1, 0, 6, 1]], 'adelic_image': '17160.16.0.?', 'conductor': 18590, 'lmfdb_label': '18590.g1', 'prime': 0}
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id: 87047
{'conductor': 18590, 'elladic_image': '3.4.0.1', 'lmfdb_label': '18590.g1', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 856406
{'lmfdb_iso': '18590.g', 'p': 7, 'prec': 20, 'unit': 24259305788263325, 'val': 0}
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id: 856411
{'lmfdb_iso': '18590.g', 'p': 17, 'prec': 20, 'unit': 62205159106685500770590, 'val': 1}
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id: 856402
{'lmfdb_iso': '18590.g', 'p': 19, 'prec': 20, 'unit': 10126839259321554535652875, 'val': -1}
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id: 856416
{'lmfdb_iso': '18590.g', 'p': 23, 'prec': 20, 'unit': 6720301235264291114991065, 'val': 1}
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id: 856409
{'lmfdb_iso': '18590.g', 'p': 29, 'prec': 20, 'unit': 5345112708500458587702091697, 'val': 1}
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id: 856421
{'lmfdb_iso': '18590.g', 'p': 31, 'prec': 20, 'unit': 13972228421461150678708833832, 'val': 1}
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id: 856405
{'lmfdb_iso': '18590.g', 'p': 37, 'prec': 20, 'unit': 502968603214288734853499182272, 'val': 1}
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id: 856407
{'lmfdb_iso': '18590.g', 'p': 41, 'prec': 20, 'unit': 945087090737508599358930040819, 'val': 1}
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id: 856408
{'lmfdb_iso': '18590.g', 'p': 43, 'prec': 20, 'unit': 3929312898640151651808392984705, 'val': 1}
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id: 856419
{'lmfdb_iso': '18590.g', 'p': 47, 'prec': 20, 'unit': 58744835735566040686276211499645, 'val': 1}
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id: 856413
{'lmfdb_iso': '18590.g', 'p': 53, 'prec': 20, 'unit': 14945303697699692159457197457350, 'val': 1}
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id: 856414
{'lmfdb_iso': '18590.g', 'p': 59, 'prec': 20, 'unit': 558167370534130824139064298165443, 'val': 1}
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id: 856420
{'lmfdb_iso': '18590.g', 'p': 61, 'prec': 20, 'unit': 5724208785608720998029536564827216, 'val': 1}
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id: 856404
{'lmfdb_iso': '18590.g', 'p': 67, 'prec': 20, 'unit': 38731064303981706025033996592784037, 'val': 1}
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id: 856418
{'lmfdb_iso': '18590.g', 'p': 71, 'prec': 20, 'unit': 119419784774921810127455982969211334, 'val': 1}
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id: 856415
{'lmfdb_iso': '18590.g', 'p': 73, 'prec': 20, 'unit': 40872007319789364787824564804589921, 'val': 1}
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id: 856410
{'lmfdb_iso': '18590.g', 'p': 79, 'prec': 20, 'unit': 309247877961071113051473573832435, 'val': 1}
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id: 856412
{'lmfdb_iso': '18590.g', 'p': 83, 'prec': 20, 'unit': 1374566389994942727726067115745958128, 'val': 1}
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id: 856417
{'lmfdb_iso': '18590.g', 'p': 89, 'prec': 20, 'unit': 8313094691829485884290316802343326507, 'val': 1}
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id: 856403
{'lmfdb_iso': '18590.g', 'p': 97, 'prec': 20, 'unit': 44324596099796632415750283140689845180, 'val': 1}