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ec_curvedata • Show schema
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{'Ciso': '1850o', 'Clabel': '1850o1', 'Cnumber': 1, 'abc_quality': 1.128801430581781, 'absD': 18944000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1480, 'ainvs': [1, -1, 1, -21430, -1183803], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1850, 'degree': 4320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3444701832604440238184889956', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [557238592989, 9699328], 'lmfdb_iso': '1850.j', 'lmfdb_label': '1850.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -857, -9299], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '296.6.0.?', '370.6.0.?', '1480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1085335646363879210185174609', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13739174893486874286791949568', 'prec': 103}, 'szpiro_ratio': 5.520607034272141, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, -2, 1, -3, 0, 0, 0, 2, -2, 0, 1, -6, -3, -6, 0], 'aplist': [1, 0, 0, -2, 0, 2, -6, -6, 4, 0, -4, -1, -10, -4, -2, 2, -6, 0, 8, 0, 8, 4, -12, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 1850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1850.j', 'trace_hash': 1718205990792093870}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.067952906410321193194709126600', 'prec': 107}, 'conductor': 1850, 'gens': [[-87, 171, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1085335646363879210185174609', 'prec': 100}], 'lmfdb_label': '1850.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39500649647032741877919231494', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9409016362810455317740074674368347164', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [[169, -85, 1]], 'xcoord_integral_points': [-87, -81, 169, 205]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [1, 1, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1850.j2'}
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ec_torsion_growth • Show schema
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id: 94065
{'degree': 2, 'field': [-46, -1, 1], 'lmfdb_label': '1850.j2', 'torsion': [2, 2]}
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id: 94066
{'degree': 4, 'field': [15, -20, -20, 0, 1], 'lmfdb_label': '1850.j2', 'torsion': [4]}
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id: 94069
{'degree': 8, 'field': [-344, 1184, -1208, 47, -20, -7, 7, -4, 1], 'lmfdb_label': '1850.j2', 'torsion': [6]}
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id: 94067
{'degree': 8, 'field': [256, 0, 1832, 0, 644, 0, -22, 0, 1], 'lmfdb_label': '1850.j2', 'torsion': [2, 4]}
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id: 94068
{'degree': 8, 'field': [1936, 0, -1746, 0, 421, 0, -36, 0, 1], 'lmfdb_label': '1850.j2', 'torsion': [2, 4]}
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id: 94071
{'degree': 16, 'field': [-68538044, 177802744, -175425789, 68590226, 4889318, -12925476, 3785464, -172982, -129507, 45184, -4709, -762, -472, -52, -6, -2, 1], 'lmfdb_label': '1850.j2', 'torsion': [2, 6]}
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id: 94070
{'degree': 16, 'field': [-628759, -1254120, 18244624, -47543280, 59222720, -41325240, 16240496, -2865440, -237306, 183880, -13104, -5360, 1040, -40, -16, 0, 1], 'lmfdb_label': '1850.j2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 29970
{'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '1850.j2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
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id: 29971
{'conductor': 1850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '1850.j2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 29972
{'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1850.j2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1676085
{'adelic_gens': [[1, 2, 2, 5], [741, 4, 2, 9], [1297, 186, 184, 1295], [1, 4, 0, 1], [522, 1, 479, 0], [1188, 1, 1183, 0], [1477, 4, 1476, 5], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1480.12.0.?', 'conductor': 1850, 'lmfdb_label': '1850.j2', 'prime': 0}
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id: 9064
{'conductor': 1850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1850.j2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 52561
{'lmfdb_iso': '1850.j', 'p': 7, 'prec': 20, 'unit': 4431339082614933, 'val': 1}
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id: 52564
{'lmfdb_iso': '1850.j', 'p': 13, 'prec': 20, 'unit': 303604680469114020694, 'val': 1}
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id: 52566
{'lmfdb_iso': '1850.j', 'p': 17, 'prec': 20, 'unit': 210070548969669903732942, 'val': 1}
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id: 52558
{'lmfdb_iso': '1850.j', 'p': 19, 'prec': 20, 'unit': 1358470382079493275321476, 'val': 1}
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id: 52571
{'lmfdb_iso': '1850.j', 'p': 23, 'prec': 20, 'unit': 54466954214421080846326376, 'val': 1}
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id: 52574
{'lmfdb_iso': '1850.j', 'p': 31, 'prec': 20, 'unit': 7667450267220922134579219332, 'val': 1}
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id: 52562
{'lmfdb_iso': '1850.j', 'p': 41, 'prec': 20, 'unit': 4063967446606369019141894110773, 'val': 1}
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id: 52563
{'lmfdb_iso': '1850.j', 'p': 43, 'prec': 20, 'unit': 10307826062750087773923714834798, 'val': 1}
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id: 52573
{'lmfdb_iso': '1850.j', 'p': 47, 'prec': 20, 'unit': 12829276310638963547055759567323, 'val': 1}
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id: 52568
{'lmfdb_iso': '1850.j', 'p': 53, 'prec': 20, 'unit': 226697068952951296490893046303374, 'val': 1}
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id: 52569
{'lmfdb_iso': '1850.j', 'p': 59, 'prec': 20, 'unit': 1275163152394978990904348997733676, 'val': 1}
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id: 52560
{'lmfdb_iso': '1850.j', 'p': 67, 'prec': 20, 'unit': 11580475555272181931511779242454770, 'val': 1}
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id: 52570
{'lmfdb_iso': '1850.j', 'p': 73, 'prec': 20, 'unit': 22697033419492877677613438184569465, 'val': 1}
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id: 52565
{'lmfdb_iso': '1850.j', 'p': 79, 'prec': 20, 'unit': 793129068915571953958547324603258253, 'val': 1}
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id: 52567
{'lmfdb_iso': '1850.j', 'p': 83, 'prec': 20, 'unit': 2631113834443417971830500479431169818, 'val': 1}
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id: 52572
{'lmfdb_iso': '1850.j', 'p': 89, 'prec': 20, 'unit': 10907653495665004575128200308438259082, 'val': 1}
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id: 52559
{'lmfdb_iso': '1850.j', 'p': 97, 'prec': 20, 'unit': 6776247448273846681580123141979627743, 'val': 1}