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ec_curvedata • Show schema
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{'Ciso': '217800bc', 'Clabel': '217800bc2', 'Cnumber': 2, 'abc_quality': 1.0917548251330267, 'absD': 129146796900000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -190575, -26952750], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 217800, 'degree': 1966080, 'elladic_images': ['8.24.0.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0041853646741277375818780771', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [148176, 25], 'lmfdb_iso': '217800.j', 'lmfdb_label': '217800.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, -6], 'min_quad_twist_disc': 165, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.g.1', '20.24.0.b.1', '40.96.3.bk.1', '132.24.0.?', '264.48.0.?', '660.48.0.?', '1320.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 29, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.1644085319807977262427563947', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0108854926494594403919174113', 'prec': 103}, 'szpiro_ratio': 3.912269590335, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 0, -4, 0, -2, -2, -4, 4, -2, -8, -6, -6, -8, 4, 6, 4, 2, -8, 0, -6, 0, 16, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 217800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '217800.j', 'trace_hash': 307180254645066121}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.018162963526309227152365804659', 'prec': 107}, 'conductor': 217800, 'gens': [[-255, 2250, 1], [561, 6534, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4830451150783801376292673526', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.3267709643516405342503122852', 'prec': 100}], 'lmfdb_label': '217800.j2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.23112270865190452646409709128', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.701866739081581121109745623438189114', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-165, 0, 1], [495, 0, 1]], 'xcoord_integral_points': [-330, -315, -255, -231, -209, -165, 495, 511, 561, 795, 1045, 1485, 2310, 4170, 8745, 35409]}
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lmfdb_label 217800.j2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9490635
{'degree': 4, 'field': [49, 0, -19, 0, 1], 'lmfdb_label': '217800.j2', 'torsion': [2, 4]}
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id: 9490637
{'degree': 4, 'field': [1189, -64, 65, -2, 1], 'lmfdb_label': '217800.j2', 'torsion': [2, 4]}
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id: 9490636
{'degree': 4, 'field': [1681, 0, 83, 0, 1], 'lmfdb_label': '217800.j2', 'torsion': [2, 4]}
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id: 9490640
{'degree': 8, 'field': [-22679, -3872, 1258, 736, 160, -74, -2, -2, 1], 'lmfdb_label': '217800.j2', 'torsion': [2, 6]}
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id: 9490638
{'degree': 8, 'field': [8149, 2518, -2168, -674, 273, 74, -20, -4, 1], 'lmfdb_label': '217800.j2', 'torsion': [4, 4]}
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id: 9490639
{'degree': 8, 'field': [124609, 0, -9758, 0, 863, 0, -34, 0, 1], 'lmfdb_label': '217800.j2', 'torsion': [2, 8]}
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id: 9490641
{'degree': 16, 'field': [-1570964, 12031184, -4159400, -13556080, 1656564, 5207744, -273208, -1058920, 35621, 130864, -5308, -10112, 654, 448, -44, -8, 1], 'lmfdb_label': '217800.j2', 'torsion': [2, 8]}
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id: 9490643
{'degree': 16, 'field': [23564209, -3483178, 19710208, -3759822, 8575294, -2080284, 2359114, -575922, 399603, -83092, 40310, -6386, 2350, -250, 74, -4, 1], 'lmfdb_label': '217800.j2', 'torsion': [4, 8]}
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id: 9490642
{'degree': 16, 'field': [15815829121, 0, 797885076, 0, -137039790, 0, -179376, 0, 140219, 0, -15696, 0, 2130, 0, -84, 0, 1], 'lmfdb_label': '217800.j2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 5399199
{'conductor': 217800, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '217800.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 5399200
{'conductor': 217800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '217800.j2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 5399201
{'conductor': 217800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '217800.j2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5399202
{'conductor': 217800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '217800.j2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3055740
{'adelic_gens': [[1121, 594, 462, 725], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [661, 528, 0, 331], [1313, 8, 1312, 9], [439, 0, 0, 1319], [119, 0, 0, 1319], [265, 924, 1056, 661]], 'adelic_image': '1320.192.3.?', 'conductor': 217800, 'lmfdb_label': '217800.j2', 'prime': 0}
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id: 800316
{'conductor': 217800, 'elladic_image': '8.24.0.35', 'lmfdb_label': '217800.j2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 217800.j does not appear in ec_padic