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ec_curvedata • Show schema
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{'Ciso': '369600pg', 'Clabel': '369600pg5', 'Cnumber': 5, 'abc_quality': 0.9741575548950342, 'absD': 58441246617600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 1, 0, -21200033, 37562148063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 25165824, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8583064197114246292754888881', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 396, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [257260669489908001, 14267882475], 'lmfdb_iso': '369600.pg', 'lmfdb_label': '369600.pg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13250, -592540], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0-8.n.1.4', '40.24.0-8.n.1.6', '44.12.0.h.1', '88.24.0.?', '112.24.0.?', '120.48.0.?', '264.48.0.?', '336.48.0.?', '440.48.0.?', '560.48.0.?', '1232.48.0.?', '1320.96.0.?', '1680.96.0.?', '3696.96.0.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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': '1.0138666926544564778492610393', 'prec': 100}, 'szpiro_ratio': 4.853454427267965, '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, 0, 0, -1, 0, 1, 0, 1, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 1, 0, -1, 1, -2, 6, -4, 8, -6, -8, 6, -6, 4, -8, -10, -12, 10, 12, 8, 6, -8, 4, 10, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '369600.pg', 'trace_hash': 85213247862565327}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0032908386449029823865093867856', 'prec': 110}, 'conductor': 369600, 'gens': [], 'heights': [], 'lmfdb_label': '369600.pg1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18708962996753968178676043480', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9934340794806349085881669567274459381', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[2673, 0, 1]], 'xcoord_integral_points': [2673]}
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lmfdb_label 369600.pg1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15346170
{'degree': 2, 'field': [-110, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [4]}
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id: 15346168
{'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [2, 2]}
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id: 15346169
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [4]}
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id: 15346172
{'degree': 4, 'field': [-6, 36, -35, -2, 1], 'lmfdb_label': '369600.pg1', 'torsion': [8]}
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id: 15346171
{'degree': 4, 'field': [1, 0, -42, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [2, 4]}
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id: 15346173
{'degree': 4, 'field': [25, 0, -20, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [8]}
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id: 15346177
{'degree': 8, 'field': [-30000, 0, 113000, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [6]}
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id: 15346176
{'degree': 8, 'field': [-794, -2820, -1506, 960, 647, -60, -54, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [2, 8]}
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id: 15346175
{'degree': 8, 'field': [5625, 0, -2000, 0, 175, 0, 10, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [8]}
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id: 15346174
{'degree': 8, 'field': [44665, -35100, 12244, -2564, 434, -28, 36, -4, 1], 'lmfdb_label': '369600.pg1', 'torsion': [2, 4]}
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id: 15346180
{'degree': 16, 'field': [-23413171969424, 99335772969856, -85980859155024, -26087006239936, 11499647644478, 1815807139536, -544307568596, -51446276288, 11858180103, 661727176, -125166404, -3890688, 627518, 9632, -1356, -8, 1], 'lmfdb_label': '369600.pg1', 'torsion': [16]}
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id: 15346179
{'degree': 16, 'field': [408321, 247932, 75272, 301884, -25794, -93872, 59352, -18332, 2527, 368, 744, 68, -10, -44, 32, -8, 1], 'lmfdb_label': '369600.pg1', 'torsion': [2, 8]}
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id: 15346178
{'degree': 16, 'field': [9090225, -7055100, 2737800, -1692900, 1882134, -1045944, 402552, -218268, 28663, 12248, -664, 596, -98, -44, 32, -8, 1], 'lmfdb_label': '369600.pg1', 'torsion': [4, 4]}
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id: 15346183
{'degree': 16, 'field': [110817729, 0, -53450298, 0, 26881965, 0, -6256876, 0, 749810, 0, -56014, 0, 2788, 0, -80, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [12]}
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id: 15346184
{'degree': 16, 'field': [673340289275, 189335553350, -179119611375, -20671730490, 10923084240, -670255200, 166984141, 46559032, -9396375, -1459670, 256063, 19488, -3157, -70, 30, -8, 1], 'lmfdb_label': '369600.pg1', 'torsion': [12]}
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id: 15346182
{'degree': 16, 'field': [1334119711681, 0, -230594281768, 0, 10186756108, 0, -606504456, 0, 36111270, 0, 125064, 0, 2188, 0, -88, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [2, 6]}
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id: 15346181
{'degree': 16, 'field': [4863017300625, 0, 130990365000, 0, 8967915000, 0, 428571000, 0, 15850575, 0, -1164600, 0, 24600, 0, -240, 0, 1], 'lmfdb_label': '369600.pg1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 9145382
{'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '369600.pg1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9145383
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.pg1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 9145384
{'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '369600.pg1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 9145385
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '369600.pg1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9145386
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.pg1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3964829
{'adelic_gens': [[7379, 18464, 3952, 315], [1, 16, 0, 1], [18465, 16, 18464, 17], [15, 2, 18382, 18467], [3376, 5, 6675, 18466], [5281, 16, 5288, 129], [5, 4, 18476, 18477], [6922, 4615, 11547, 9238], [1, 0, 16, 1], [18467, 18464, 4876, 4935], [6173, 16, 12064, 18165]], 'adelic_image': '18480.192.1.?', 'conductor': 369600, 'lmfdb_label': '369600.pg1', 'prime': 0}
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id: 1269368
{'conductor': 369600, 'elladic_image': '8.12.0.5', 'lmfdb_label': '369600.pg1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 369600.pg does not appear in ec_padic