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ec_curvedata • Show schema
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{'Ciso': '363090p', 'Clabel': '363090p2', 'Cnumber': 2, 'abc_quality': 0.9551439084851706, 'absD': 35458503161851858233600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 34580, 'ainvs': [1, 1, 0, -22307863, -39538493483], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 37748736, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1048459903015433342850308254', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [10435407396244021837801, 301392303902726400], 'lmfdb_iso': '363090.p', 'lmfdb_label': '363090.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -455263, 115207538], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '52.12.0-2.a.1.1', '140.12.0.?', '380.12.0.?', '532.12.0.?', '1820.24.0.?', '2660.24.0.?', '4940.24.0.?', '6916.24.0.?', '34580.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8401968625752907454631518265', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1318909157738866817323544537', 'prec': 100}, 'szpiro_ratio': 4.87212734453149, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, 0, -1, 1, 1, 0, -1, 1, 0, 1, 1, 2, -1, -1, -1], 'aplist': [-1, -1, -1, 0, 0, 1, 2, -1, -8, 6, 0, -6, -2, 4, 0, 2, 12, 2, -12, 0, -10, 8, -4, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 363090, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '363090.p', 'trace_hash': 332474800584678139}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0020098564435059410918934863537', 'prec': 110}, 'conductor': 363090, 'gens': [[21999, 494231, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8401968625752907454631518265', 'prec': 100}], 'lmfdb_label': '363090.p3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.069590795274759865416840177791', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8081179160202543977504215415750400128', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-3074, 1537, 1], [5438, -2719, 1]], 'xcoord_integral_points': [-3074, 5438, 1081086]}
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lmfdb_label 363090.p3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15094724
{'degree': 4, 'field': [144, 0, -11, 0, 1], 'lmfdb_label': '363090.p3', 'torsion': [2, 4]}
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id: 15094723
{'degree': 4, 'field': [900, 0, -73, 0, 1], 'lmfdb_label': '363090.p3', 'torsion': [2, 4]}
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id: 15094725
{'degree': 4, 'field': [3249, 0, 19, 0, 1], 'lmfdb_label': '363090.p3', 'torsion': [2, 4]}
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id: 15094726
{'degree': 8, 'field': [-399880, -47723, 45500, 4445, -2219, -7, 7, -4, 1], 'lmfdb_label': '363090.p3', 'torsion': [2, 6]}
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id: 15094727
{'degree': 16, 'field': [504631296, 0, -85377344, 0, 193922953, 0, 1595964, 0, -361012, 0, 9818, 0, 1452, 0, 28, 0, 1], 'lmfdb_label': '363090.p3', 'torsion': [4, 4]}
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id: 15094730
{'degree': 16, 'field': [1637944509636, 84729851928, -48740686740, -73532493120, 40667831990, -4727256896, 1651538182, -65450640, 17203405, -912460, 533502, -190264, 30740, 420, -40, -8, 1], 'lmfdb_label': '363090.p3', 'torsion': [2, 8]}
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id: 15094728
{'degree': 16, 'field': [1895300654139, 699121323144, -646105513546, -103113525396, 44380122026, 8282781616, -2220866838, -445869508, 90460763, 13551840, -2262470, -238380, 34816, 2240, -300, -8, 1], 'lmfdb_label': '363090.p3', 'torsion': [2, 8]}
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id: 15094729
{'degree': 16, 'field': [2183348606931856, 0, 72890788186944, 0, 1572586862392, 0, 4477188352, 0, -207382335, 0, -1973612, 0, 19102, 0, 276, 0, 1], 'lmfdb_label': '363090.p3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 8981026
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '363090.p3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8981027
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '363090.p3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8981028
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.p3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8981029
{'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '363090.p3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8981030
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.p3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 8981031
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.p3', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3925869
{'adelic_gens': [[1, 0, 4, 1], [34577, 4, 34576, 5], [1, 4, 0, 1], [13301, 2, 0, 1], [17291, 4, 2, 9], [7283, 2, 18198, 34579], [6917, 4, 13834, 9], [4939, 34578, 0, 34579]], 'adelic_image': '34580.48.0.?', 'conductor': 363090, 'lmfdb_label': '363090.p3', 'prime': 0}
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id: 1249931
{'conductor': 363090, 'elladic_image': '2.6.0.1', 'lmfdb_label': '363090.p3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 363090.p does not appear in ec_padic