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ec_curvedata • Show schema
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{'Ciso': '369600x', 'Clabel': '369600x2', 'Cnumber': 2, 'abc_quality': 0.9477878113867697, 'absD': 36374184000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -91833, 5556537], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 369600, 'degree': 3686400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8744003066461932311260089680', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [10706185664, 4546773], 'lmfdb_iso': '369600.x', 'lmfdb_label': '369600.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -918, 5832], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '770.6.0.?', '924.6.0.?', '4620.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2820700403261115361255266149', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.025825308239327359241792653377', 'prec': 110}, 'szpiro_ratio': 3.5800438835078165, '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, -4, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, -1, 0, -1, -1, -4, 2, -8, -6, 0, 2, -8, 10, -12, -12, -2, -12, 2, -8, -8, 4, -10, 18, -8, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 369600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '369600.x', 'trace_hash': 1574029853712877422}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.023545969650020132346663821910', 'prec': 107}, 'conductor': 369600, 'gens': [[17, 2000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2820700403261115361255266149', 'prec': 100}], 'lmfdb_label': '369600.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33057732770990254140759005713', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0176024623113419248554745243386400890', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[267, 0, 1]], 'xcoord_integral_points': [-219, 17, 267]}
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lmfdb_label 369600.x1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15337518
{'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '369600.x1', 'torsion': [2, 2]}
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id: 15337519
{'degree': 4, 'field': [1540, 0, -100, 0, 1], 'lmfdb_label': '369600.x1', 'torsion': [4]}
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id: 15337522
{'degree': 8, 'field': [-874800, 0, -115200, 0, -3240, 0, 0, 0, 1], 'lmfdb_label': '369600.x1', 'torsion': [6]}
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id: 15337520
{'degree': 8, 'field': [46656, 0, 38952, 0, 2169, 0, -52, 0, 1], 'lmfdb_label': '369600.x1', 'torsion': [2, 4]}
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id: 15337521
{'degree': 8, 'field': [81225, 0, -46800, 0, 5830, 0, -160, 0, 1], 'lmfdb_label': '369600.x1', 'torsion': [2, 4]}
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id: 15337523
{'degree': 16, 'field': [-4210760519, 9426527584, 30373792680, -74117698960, 23535633494, 15712666824, -4380053588, -732791240, 180645111, 1373464, 55492, -182472, 32414, -952, 156, -8, 1], 'lmfdb_label': '369600.x1', 'torsion': [8]}
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id: 15337524
{'degree': 16, 'field': [1658596140050256, 1046551097547648, -1013012128503360, -66482157467520, 31758311742840, 1760654649024, -555928162848, -26229428160, 6178002505, 250148440, -47286068, -1482584, 235510, 5320, -740, -8, 1], 'lmfdb_label': '369600.x1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 9141097
{'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '369600.x1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9141098
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '369600.x1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9141099
{'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '369600.x1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9141100
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.x1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9141101
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.x1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3965305
{'adelic_gens': [[1, 0, 4, 1], [1541, 4, 3082, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1322, 1, 3959, 0], [928, 1, 923, 0], [3469, 1156, 3464, 1155], [4617, 4, 4616, 5], [422, 1, 2099, 0]], 'adelic_image': '4620.12.0.?', 'conductor': 369600, 'lmfdb_label': '369600.x1', 'prime': 0}
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id: 1269796
{'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.x1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 369600.x does not appear in ec_padic