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ec_curvedata • Show schema
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{'Ciso': '357378l', 'Clabel': '357378l1', 'Cnumber': 1, 'abc_quality': 1.0303384819474928, 'absD': 305747584820092901684491776, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 4288536, 'ainvs': [1, 0, 0, 168357063, -28208561031], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 67, 127], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 357378, 'degree': 217323648, 'elladic_images': ['9.72.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7715280747143881711062472815', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3, 9], 'jinv': [527737231583370421518916605167, 305747584820092901684491776], 'lmfdb_iso': '357378.l', 'lmfdb_label': '357378.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 168357063, -28208561031], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.72.0-9.d.1.2', '476504.2.0.?', '1429512.16.0.?', '4288536.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.7715280747143881711062472815', 'prec': 100}, 'szpiro_ratio': 5.352374144761931, 'torsion': 9, 'torsion_primes': [3], 'torsion_structure': [9]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -3, 1, 1, 1, 1, -3, 3, 1, -4, 1, -3, 1, 0, 1, -7, -3], 'aplist': [1, 1, -3, 1, 3, -4, 0, -7, 6, -6, 5, 2, -3, -10, 12, 0, -12, -10, 1, -9, -16, -10, -6, 9, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 357378, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '357378.l', 'trace_hash': 1219772026031577296}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00052977607037378492889263722877', 'prec': 113}, 'conductor': 357378, 'gens': [], 'heights': [], 'lmfdb_label': '357378.l3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.032407002086026000567782939292', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7499781126454040306602787217509125423', 'prec': 130}, 'tamagawa_product': 4374, 'torsion_generators': [[714, 303555, 1]], 'xcoord_integral_points': [714, 5250, 17598, 76692]}
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lmfdb_label 357378.l3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14889196
{'degree': 3, 'field': [91, 161, -1, 1], 'lmfdb_label': '357378.l3', 'torsion': [18]}
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id: 14889198
{'degree': 6, 'field': [588, 42, -41, -3, 4, -3, 1], 'lmfdb_label': '357378.l3', 'torsion': [3, 9]}
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id: 14889197
{'degree': 6, 'field': [7993728, 1757664, 132794, 1460, -243, -2, 1], 'lmfdb_label': '357378.l3', 'torsion': [2, 18]}
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id: 14889199
{'degree': 9, 'field': [-1365581268369108, 19838761898508, -220451164164, -151571081376, 146408040, 64801512, -194029, -6135, -3, 1], 'lmfdb_label': '357378.l3', 'torsion': [27]}
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id: 14889200
{'degree': 12, 'field': [4525072012359024, 1138715119211712, 67635761290340, 1300259110436, 127146301782, 9349819312, 239657478, -182918, -262021, -23632, -404, -6, 1], 'lmfdb_label': '357378.l3', 'torsion': [36]}
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id: 14889201
{'degree': 18, 'field': [9684392194771056, 1616245526748888, 17225666806068, -387067199878044, 284106061844136, -121215308341218, 26060066565415, -3893634812847, 758235691629, -53596160058, 10781839191, -393240537, 85893274, -1606497, 392949, -3444, 969, -3, 1], 'lmfdb_label': '357378.l3', 'torsion': [3, 18]}
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ec_localdata • Show schema
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id: 8845247
{'conductor': 357378, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '357378.l3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 8845248
{'conductor': 357378, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '357378.l3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
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id: 8845249
{'conductor': 357378, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '357378.l3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 8845250
{'conductor': 357378, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '357378.l3', 'prime': 67, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 8845251
{'conductor': 357378, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '357378.l3', 'prime': 127, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3892827
{'adelic_gens': [[1, 18, 0, 1], [960130, 9, 1280151, 4288528], [1789714, 9, 3106647, 4288528], [1, 18, 10, 181], [10, 9, 81, 73], [4288519, 18, 4288518, 19], [10, 9, 2144259, 4288528], [3675898, 9, 1837935, 4288528], [1, 0, 18, 1], [1072145, 2144286, 2144106, 2977885], [1072135, 18, 0, 1]], 'adelic_image': '4288536.144.3.?', 'conductor': 357378, 'lmfdb_label': '357378.l3', 'prime': 0}
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id: 1233363
{'conductor': 357378, 'elladic_image': '9.72.0.5', 'lmfdb_label': '357378.l3', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 357378.l does not appear in ec_padic