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ec_curvedata • Show schema
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{'Ciso': '25200dw', 'Clabel': '25200dw1', 'Cnumber': 1, 'abc_quality': 1.0551964751750895, 'absD': 26790750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, -300, -8125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 25200, 'degree': 15360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.68346488326503899895158471824', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [-16384, 147], 'lmfdb_iso': '25200.ch', 'lmfdb_label': '25200.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1, -2], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '28.6.0.b.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8424549114440053040278745452', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90160927747271447051882827399', 'prec': 107}, 'szpiro_ratio': 3.1109811746031735, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, 6, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, 0, 0, -1, 2, 6, -4, 4, -2, 2, 0, -2, 0, -4, -12, -6, -8, 6, -8, 14, 2, -12, 4, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 25200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '25200.ch', 'trace_hash': 391079120017844705}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.25488832612006791704918109764', 'prec': 103}, 'conductor': 25200, 'gens': [[325, 5850, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8424549114440053040278745452', 'prec': 100}], 'lmfdb_label': '25200.ch2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50217720467059990274365154263', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7096642473246726932218103690751503979', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[25, 0, 1]], 'xcoord_integral_points': [25, 325]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '25200.ch2'}
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ec_torsion_growth • Show schema
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id: 1268419
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '25200.ch2', 'torsion': [2, 2]}
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id: 1268420
{'degree': 4, 'field': [-19, -22, -12, -2, 1], 'lmfdb_label': '25200.ch2', 'torsion': [4]}
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id: 1268423
{'degree': 8, 'field': [-7996, 12724, -4559, 4, 413, -82, 11, -2, 1], 'lmfdb_label': '25200.ch2', 'torsion': [6]}
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id: 1268421
{'degree': 8, 'field': [124, -520, 824, -496, 82, 52, -16, -2, 1], 'lmfdb_label': '25200.ch2', 'torsion': [2, 4]}
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id: 1268422
{'degree': 8, 'field': [361, 418, 256, 188, 119, 68, 16, -2, 1], 'lmfdb_label': '25200.ch2', 'torsion': [2, 4]}
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id: 1268424
{'degree': 16, 'field': [531441, 0, 918540, 0, 3039012, 0, 256788, 0, -60726, 0, 2268, 0, 4, 0, -28, 0, 1], 'lmfdb_label': '25200.ch2', 'torsion': [8]}
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id: 1268425
{'degree': 16, 'field': [8881216, 7372960, -1211784, -4004924, -632459, 427872, 213677, 23516, 7476, -21136, 4511, -1842, 574, -38, 3, -2, 1], 'lmfdb_label': '25200.ch2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 579046
{'conductor': 25200, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '25200.ch2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 579047
{'conductor': 25200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '25200.ch2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 579048
{'conductor': 25200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '25200.ch2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 579049
{'conductor': 25200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '25200.ch2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1832132
{'adelic_gens': [[73, 4, 62, 9], [1, 4, 0, 1], [25, 64, 20, 63], [1, 0, 4, 1], [3, 4, 8, 11], [81, 4, 80, 5], [58, 1, 55, 0], [1, 2, 2, 5]], 'adelic_image': '84.12.0.?', 'conductor': 25200, 'lmfdb_label': '25200.ch2', 'prime': 0}
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id: 114739
{'conductor': 25200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '25200.ch2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1199659
{'lmfdb_iso': '25200.ch', 'p': 11, 'prec': 20, 'unit': 47548562737112479078, 'val': 1}
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id: 1199665
{'lmfdb_iso': '25200.ch', 'p': 13, 'prec': 20, 'unit': 167239900197950687500, 'val': 1}
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id: 1199667
{'lmfdb_iso': '25200.ch', 'p': 17, 'prec': 20, 'unit': 232188759669738152467587, 'val': 1}
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id: 1199668
{'lmfdb_iso': '25200.ch', 'p': 19, 'prec': 20, 'unit': 146879474115487114410216, 'val': 1}
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id: 1199671
{'lmfdb_iso': '25200.ch', 'p': 23, 'prec': 20, 'unit': 48061150780453022947878069, 'val': 1}
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id: 1199664
{'lmfdb_iso': '25200.ch', 'p': 29, 'prec': 20, 'unit': 1431457252370002352865901059, 'val': 1}
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id: 1199660
{'lmfdb_iso': '25200.ch', 'p': 37, 'prec': 20, 'unit': 409877521315417806401524662276, 'val': 1}
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id: 1199663
{'lmfdb_iso': '25200.ch', 'p': 43, 'prec': 20, 'unit': 10065425477806859665439801635235, 'val': 1}
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id: 1199673
{'lmfdb_iso': '25200.ch', 'p': 47, 'prec': 20, 'unit': 47626309173449671485915534327429, 'val': 1}
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id: 1199669
{'lmfdb_iso': '25200.ch', 'p': 53, 'prec': 20, 'unit': 263784227496597208227916158844509, 'val': 1}
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id: 1199670
{'lmfdb_iso': '25200.ch', 'p': 59, 'prec': 20, 'unit': 2149500262885722619244687118600485, 'val': 1}
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id: 1199674
{'lmfdb_iso': '25200.ch', 'p': 61, 'prec': 20, 'unit': 130684028361629787418307133744895, 'val': 2}
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id: 1199658
{'lmfdb_iso': '25200.ch', 'p': 67, 'prec': 20, 'unit': 10737888156187281971614492309706832, 'val': 1}
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id: 1199661
{'lmfdb_iso': '25200.ch', 'p': 71, 'prec': 20, 'unit': 13094540420412777731254334874556885, 'val': 1}
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id: 1199662
{'lmfdb_iso': '25200.ch', 'p': 73, 'prec': 20, 'unit': 25072994072006684506477511836107428, 'val': 1}
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id: 1199666
{'lmfdb_iso': '25200.ch', 'p': 79, 'prec': 20, 'unit': 1002255015779838702901618397328205025, 'val': 1}
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id: 1199672
{'lmfdb_iso': '25200.ch', 'p': 83, 'prec': 20, 'unit': 1847131685257509246359835495864526894, 'val': 1}
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id: 1199657
{'lmfdb_iso': '25200.ch', 'p': 97, 'prec': 20, 'unit': 45949941052666498051564066130983052, 'val': 2}