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ec_curvedata • Show schema
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{'Ciso': '223146cn', 'Clabel': '223146cn2', 'Cnumber': 2, 'abc_quality': 0.969879037258856, 'absD': 100002263089645224, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 42504, 'ainvs': [1, -1, 0, -2119896, -1187382344], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 223146, 'degree': 7838208, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2989905390035565634712249430', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [12284337086925553, 1165987944], 'lmfdb_iso': '223146.j', 'lmfdb_label': '223146.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4807, -128671], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '2024.2.0.?', '6072.8.0.?', '42504.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9876656655634105111274208851', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 111573], [3, 8, 49], [7, 26, 4554], [11, 12, 20286], [23, 24, 9702]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77672932014184506522092595282', 'prec': 103}, 'szpiro_ratio': 4.491402688835309, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -3, 0, 0, -1, 0, 3, 1, 0, 7, 0, 0, 1, -3, 0, -8, -3], 'aplist': [-1, 0, -3, 0, 1, 7, -3, -8, 1, 9, 7, -7, -6, 2, 9, 6, 0, -8, 5, 15, -2, 11, 6, 0, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 223146, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '223146.j', 'trace_hash': 1534245639442288010}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010072150116553236494749685870', 'prec': 107}, 'conductor': 223146, 'gens': [[-841, 731, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9876656655634105111274208851', 'prec': 100}], 'lmfdb_label': '223146.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12511903313212494374581414360', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4765065127738796764823087067399708602', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': [-841]}
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lmfdb_label 223146.j1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9706838
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '223146.j1', 'torsion': [3]}
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id: 9706839
{'degree': 3, 'field': [-6, -10, -1, 1], 'lmfdb_label': '223146.j1', 'torsion': [2]}
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id: 9706841
{'degree': 6, 'field': [-3, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '223146.j1', 'torsion': [3]}
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id: 9706840
{'degree': 6, 'field': [16, -208, 162, 60, -51, -2, 1], 'lmfdb_label': '223146.j1', 'torsion': [2, 2]}
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id: 9706842
{'degree': 6, 'field': [396, -330, 104, 29, -15, -1, 1], 'lmfdb_label': '223146.j1', 'torsion': [6]}
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id: 9706843
{'degree': 12, 'field': [-4441890654, -17603522712, -6935371011, -583167102, 157531147, 23565200, -2193612, -309360, 15742, 1872, -21, -2, 1], 'lmfdb_label': '223146.j1', 'torsion': [4]}
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id: 9706844
{'degree': 12, 'field': [576, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '223146.j1', 'torsion': [3, 3]}
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id: 9706845
{'degree': 12, 'field': [16378784, 964096, -948676, -30272, 14172, -164, 2389, -2270, 911, -240, 59, -6, 1], 'lmfdb_label': '223146.j1', 'torsion': [2, 6]}
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id: 9706847
{'degree': 18, 'field': [3163344, 1575108, -12340323, -33375246, -20398977, 11544030, 12247069, -427764, -2364318, -167056, 265074, 33792, -22594, -3480, 1365, 190, -45, -6, 1], 'lmfdb_label': '223146.j1', 'torsion': [6]}
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id: 9706846
{'degree': 18, 'field': [865669211, 7654412931, 19015014777, 11348968490, 12445785081, 3172950678, 959024134, 33396213, -57952272, -16223496, 3139956, -195795, 194249, -31653, 7977, -610, 138, -9, 1], 'lmfdb_label': '223146.j1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 5534751
{'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223146.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5534752
{'conductor': 223146, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '223146.j1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5534753
{'conductor': 223146, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '223146.j1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5534754
{'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223146.j1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 5534755
{'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223146.j1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 3088779
{'adelic_gens': [[22177, 30366, 17955, 6091], [4, 3, 9, 7], [42499, 6, 42498, 7], [24287, 0, 0, 42503], [9358, 27069, 22001, 33389], [21253, 30366, 15183, 6091], [15457, 30366, 40299, 6091], [31879, 30366, 0, 1], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '42504.16.0.?', 'conductor': 223146, 'lmfdb_label': '223146.j1', 'prime': 0}
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id: 817495
{'conductor': 223146, 'elladic_image': '3.4.0.1', 'lmfdb_label': '223146.j1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 223146.j does not appear in ec_padic