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ec_curvedata • Show schema
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{'Ciso': '200640ge', 'Clabel': '200640ge3', 'Cnumber': 3, 'abc_quality': 1.006986298424931, 'absD': 225850576259084451840000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 25080, 'ainvs': [0, -1, 0, -111736481, -453999082719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 200640, 'degree': 37158912, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3828183958425657635027120868', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [588530213343917460371881, 861551575695360000], 'lmfdb_iso': '200640.e', 'lmfdb_label': '200640.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1745883, -886935194], 'min_quad_twist_disc': 8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0-12.g.1.6', '40.12.0-4.c.1.4', '88.12.0.?', '120.96.0.?', '132.48.0.?', '152.12.0.?', '228.48.0.?', '264.96.0.?', '418.6.0.?', '440.24.0.?', '456.96.0.?', '760.24.0.?', '836.12.0.?', '1254.24.0.?', '1320.192.1.?', '1672.24.0.?', '2280.192.1.?', '2508.96.1.?', '5016.192.1.?', '8360.48.0.?', '25080.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3430976250026477993768639046', 'prec': 100}, 'szpiro_ratio': 5.5047171558326236, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -4, 0, 1, 0, 1, 0, -2, 0, 1, 0, 6, 0, -1, 0], 'aplist': [0, -1, -1, -4, 1, -2, 6, -1, 0, 6, -4, -2, 6, -8, 0, 6, 0, -14, 4, -12, -10, 8, 0, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 200640, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '200640.e', 'trace_hash': 1490576447278953468}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0011527132223196512195146488111', 'prec': 110}, 'conductor': 200640, 'gens': [], 'heights': [], 'lmfdb_label': '200640.e4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.046439655378910338366300473718', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.55727586454692406039560568461406333231', 'prec': 133}, 'tamagawa_product': 48, 'torsion_generators': [[-6279, 0, 1]], 'xcoord_integral_points': [-6279]}
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lmfdb_label 200640.e4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8794583
{'degree': 2, 'field': [-52, -1, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 2]}
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id: 8794586
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [6]}
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id: 8794585
{'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [4]}
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id: 8794584
{'degree': 2, 'field': [38, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [4]}
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id: 8794590
{'degree': 4, 'field': [16, 0, 14, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [12]}
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id: 8794587
{'degree': 4, 'field': [16, 0, 30, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 4]}
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id: 8794589
{'degree': 4, 'field': [64, 0, 22, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [12]}
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id: 8794588
{'degree': 4, 'field': [3370, 92, -91, -2, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 6]}
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id: 8794591
{'degree': 6, 'field': [2017, -540, 12, -90, -6, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [6]}
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id: 8794593
{'degree': 8, 'field': [65536, 0, -12800, 0, 1232, 0, -50, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [8]}
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id: 8794595
{'degree': 8, 'field': [97344, 3744, -3078, -1344, 703, -40, 18, -4, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 12]}
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id: 8794592
{'degree': 8, 'field': [193600, 0, -31702, 0, -759, 0, -22, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 4]}
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id: 8794594
{'degree': 8, 'field': [820836, 0, 135420, 0, 6877, 0, 140, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [8]}
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id: 8794596
{'degree': 12, 'field': [6889, 14940, 11796, 2160, -2154, -360, 206, -360, 24, 0, 6, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [3, 6]}
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id: 8794599
{'degree': 12, 'field': [4498532, -1703904, 927492, 228460, 140631, -84342, 11061, 1230, -654, 130, 21, -6, 1], 'lmfdb_label': '200640.e4', 'torsion': [12]}
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id: 8794598
{'degree': 12, 'field': [4869188, -5148432, 2813700, 28236, 187911, -132018, 13753, 438, -366, 70, 33, -6, 1], 'lmfdb_label': '200640.e4', 'torsion': [12]}
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id: 8794597
{'degree': 12, 'field': [12486626702, 6184195776, -1418641323, -388973310, 93871881, 10703388, -2611079, -168330, 40071, 1420, -309, -6, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 6]}
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id: 8794601
{'degree': 16, 'field': [24432896, -101236352, 215057968, -217655088, 83278588, 32249768, -13312316, 2010856, -255207, -189872, 63776, -15280, 3578, -504, 92, -8, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 8]}
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id: 8794604
{'degree': 16, 'field': [266025600, -202694400, 246414960, -88979760, 48396636, -4873272, 1984180, -413720, 242121, -103600, 32336, -6960, 1706, -280, 60, -8, 1], 'lmfdb_label': '200640.e4', 'torsion': [24]}
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id: 8794605
{'degree': 16, 'field': [632768074, 1885949348, 2132489930, 1010432864, 47449551, -129737548, -40839498, 243896, 3323425, 589564, -152946, -33200, 5277, 748, -94, -8, 1], 'lmfdb_label': '200640.e4', 'torsion': [24]}
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id: 8794600
{'degree': 16, 'field': [1783710756, 0, 253282920, 0, -3902192, 0, -3313068, 0, 84741, 0, 5852, 0, -402, 0, 0, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [4, 4]}
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id: 8794603
{'degree': 16, 'field': [2828963344, 0, -239496704, 0, 231004160, 0, 304512, 0, 1400840, 0, -13440, 0, -256, 0, -32, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 12]}
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id: 8794602
{'degree': 16, 'field': [66686425546, -66508587860, 13557894306, 5393452240, -620495009, -444058340, -47848394, 27082880, 4902369, -731500, -213466, 11440, 6733, -220, -110, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [2, 8]}
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id: 8794606
{'degree': 18, 'field': [558588457145342268, -177932291157534744, -13911342315360948, 10184460549399972, 557315204388210, -517145247043884, 33755341589817, 7115553447660, -691146638604, -43859135160, 6985068903, 173661516, -38695058, -122388, 164115, -1324, -528, 0, 1], 'lmfdb_label': '200640.e4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 4966086
{'conductor': 200640, 'conductor_valuation': 6, 'discriminant_valuation': 42, 'j_denominator_valuation': 24, 'kodaira_symbol': -36, 'lmfdb_label': '200640.e4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 4966087
{'conductor': 200640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '200640.e4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4966088
{'conductor': 200640, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '200640.e4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4966089
{'conductor': 200640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '200640.e4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 4966090
{'conductor': 200640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '200640.e4', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2948740
{'adelic_gens': [[19839, 24032, 14044, 17851], [1, 12, 12, 145], [5017, 24, 10044, 289], [7936, 3, 7461, 24994], [20901, 16724, 20, 12621], [20536, 21, 8835, 24706], [15, 106, 23774, 15851], [25057, 24, 25056, 25], [1, 24, 0, 1], [18817, 24, 18714, 24751], [1, 0, 24, 1]], 'adelic_image': '25080.384.5.?', 'conductor': 200640, 'lmfdb_label': '200640.e4', 'prime': 0}
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id: 743349
{'conductor': 200640, 'elladic_image': '4.6.0.1', 'lmfdb_label': '200640.e4', 'modell_image': '2B', 'prime': 2}
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id: 743350
{'conductor': 200640, 'elladic_image': '3.4.0.1', 'lmfdb_label': '200640.e4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 200640.e does not appear in ec_padic