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ec_curvedata • Show schema
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{'Ciso': '390390do', 'Clabel': '390390do4', 'Cnumber': 4, 'abc_quality': 1.08149704374976, 'absD': 434642835431038355961840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 1, 1, 189168710, -56919805753], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 390390, 'degree': 192675840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8008308739576349077838567835', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 92, 'isogeny_degrees': [1, 2, 4], 'jinv': [155099895405729262880471, 90047655797243760000], 'lmfdb_iso': '390390.do', 'lmfdb_label': '390390.do4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1119342, -25477452], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '104.12.0.?', '156.12.0.?', '280.12.0.?', '312.24.0.?', '840.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5183561952268665397571130627', 'prec': 100}, 'szpiro_ratio': 5.342802226094259, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 0, 1, -1, 1, 2, 1, 0, 1], 'aplist': [1, -1, 1, 1, -1, 0, 2, 0, 0, -6, 8, -10, 2, -8, -4, -6, 12, 10, -8, -4, -10, 8, -12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 390390, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '390390.do', 'trace_hash': 1867489057149995548}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00049962049990664294016061642782', 'prec': 113}, 'conductor': 390390, 'gens': [], 'heights': [], 'lmfdb_label': '390390.do4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.031374546609925867989482878013', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5139492203116972148220823374066948714', 'prec': 130}, 'tamagawa_product': 448, 'torsion_generators': [[1203, -1207, 2]], 'xcoord_integral_points': []}
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lmfdb_label 390390.do4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 16139036
{'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [4]}
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id: 16139035
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [2, 2]}
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id: 16139037
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [4]}
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id: 16139038
{'degree': 4, 'field': [25, 0, 16, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [2, 4]}
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id: 16139039
{'degree': 8, 'field': [9216, 0, 0, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [2, 4]}
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id: 16139040
{'degree': 8, 'field': [360000, 0, 28800, 0, -4719, 0, -48, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [8]}
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id: 16139041
{'degree': 8, 'field': [518400, 0, 82560, 0, 5386, 0, 128, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [8]}
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id: 16139042
{'degree': 8, 'field': [21661563, 6772794, 2497460, 328500, 1392, -1870, -192, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [6]}
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id: 16139043
{'degree': 16, 'field': [62500, -180000, 259200, -166080, -7604, 75168, 35712, 2112, 8541, 2856, 288, -432, -38, -24, 0, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [4, 4]}
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id: 16139045
{'degree': 16, 'field': [12716356, 0, 17330536, 0, 6449584, 0, 639964, 0, 221125, 0, 30784, 0, 2074, 0, 76, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [2, 8]}
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id: 16139044
{'degree': 16, 'field': [334812100, 971342400, 488410400, -449561760, 132427256, -88418160, 11561712, -5495040, 3216824, -338160, 255936, -12240, 9044, -120, 152, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [2, 8]}
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id: 16139047
{'degree': 16, 'field': [379080900, 0, -1676653200, 0, -554986800, 0, -58354131, 0, 1913694, 0, -83991, 0, 4633, 0, -110, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [12]}
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id: 16139048
{'degree': 16, 'field': [261750931456, 0, 32550074368, 0, 2828659456, 0, -105736544, 0, -6864224, 0, 156904, 0, -1004, 0, 52, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [12]}
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id: 16139046
{'degree': 16, 'field': [180320072260545, 286511158509660, 239426767604220, 74938691482872, 14718421097728, 1824252911532, 81106915944, -13022804176, -2418793362, -123182892, 9138668, 1330200, 29136, -3740, -336, 0, 1], 'lmfdb_label': '390390.do4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 9660142
{'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '390390.do4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 9660143
{'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '390390.do4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9660144
{'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '390390.do4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 9660145
{'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '390390.do4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 9660146
{'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '390390.do4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9660147
{'conductor': 390390, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '390390.do4', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4088497
{'adelic_gens': [[1964, 6721, 8983, 846], [8737, 10088, 7228, 7593], [1, 0, 8, 1], [10913, 8, 10912, 9], [1, 8, 0, 1], [1, 4, 4, 17], [4096, 8723, 6409, 8958], [7801, 10088, 3484, 7593], [6719, 0, 0, 10919], [7, 6, 10914, 10915], [2419, 10816, 338, 4941]], 'adelic_image': '10920.48.0.?', 'conductor': 390390, 'lmfdb_label': '390390.do4', 'prime': 0}
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id: 1331694
{'conductor': 390390, 'elladic_image': '4.6.0.1', 'lmfdb_label': '390390.do4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 390390.do does not appear in ec_padic