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ec_curvedata • Show schema
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{'Ciso': '22848bu', 'Clabel': '22848bu4', 'Cnumber': 4, 'abc_quality': 0.9238142295900464, 'absD': 16049897472, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, -1, 0, -8769, 318945], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22848, 'degree': 24576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95299548489767506104727754001', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [569001644066, 122451], 'lmfdb_iso': '22848.e', 'lmfdb_label': '22848.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2192, -38772], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.4', '136.12.0.?', '168.24.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.3884468304575754465776602762', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.028963020895580793960467965389', 'prec': 110}, 'szpiro_ratio': 3.8708903617855785, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, -1, 0, 1, 0, -4, 0, -2, 0, 2, 0, -1, 0, -4, 0], 'aplist': [0, -1, -2, -1, -4, -2, -1, -4, 4, 2, 0, -2, -10, -4, 8, -6, -8, -2, -4, -12, -10, -8, 0, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 22848, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '22848.e', 'trace_hash': 1908829026873658019}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14867523692779599507902046255', 'prec': 103}, 'conductor': 22848, 'gens': [[53, 16, 1], [56, 19, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.87128162665688606722277473342', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.8152008218858144294441850425', 'prec': 100}], 'lmfdb_label': '22848.e1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.2054108938513825294811104087', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7581196576367350434403254180367566981', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[55, 0, 1]], 'xcoord_integral_points': [-107, -43, 53, 55, 56, 91, 251]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 4, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '22848.e1'}
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ec_torsion_growth • Show schema
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id: 1158664
{'degree': 2, 'field': [-102, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [2, 2]}
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id: 1158666
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [4]}
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id: 1158665
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [4]}
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id: 1158667
{'degree': 4, 'field': [289, 0, -68, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [2, 4]}
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id: 1158671
{'degree': 8, 'field': [-243, 0, 90, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [6]}
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id: 1158669
{'degree': 8, 'field': [1521, 0, -4356, 0, 978, 0, -60, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [8]}
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id: 1158668
{'degree': 8, 'field': [10404, 0, 0, 0, 102, 0, 0, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [2, 4]}
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id: 1158670
{'degree': 8, 'field': [24462, 20520, 9864, -1368, 267, 30, 1, -2, 1], 'lmfdb_label': '22848.e1', 'torsion': [8]}
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id: 1158676
{'degree': 16, 'field': [142884, 0, -95256, 0, 15876, 0, -203472, 0, 31644, 0, -1980, 0, 144, 0, -24, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [12]}
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id: 1158674
{'degree': 16, 'field': [4959529, 0, 1151376, 0, 1841134, 0, 173196, 0, 25071, 0, 2340, 0, 190, 0, -12, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [2, 8]}
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id: 1158675
{'degree': 16, 'field': [7584516, 0, -14012352, 0, 10482372, 0, -3992976, 0, 584604, 0, -19908, 0, 2160, 0, -30, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [2, 6]}
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id: 1158673
{'degree': 16, 'field': [10093329, 0, -25721712, 0, 20023632, 0, -7012872, 0, 1240110, 0, -114192, 0, 5376, 0, -120, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [2, 8]}
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id: 1158672
{'degree': 16, 'field': [110397049, 0, -12398308, 0, -2857826, 0, 199904, 0, 73663, 0, -424, 0, -398, 0, -4, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [4, 4]}
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id: 1158677
{'degree': 16, 'field': [351412516, 0, -31552016, 0, -30963524, 0, -560112, 0, 223872, 0, -28788, 0, 2272, 0, -68, 0, 1], 'lmfdb_label': '22848.e1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 522548
{'conductor': 22848, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '22848.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 522549
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 522550
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22848.e1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 522551
{'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.e1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1816803
{'adelic_gens': [[1, 0, 8, 1], [2496, 1063, 365, 378], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 2850, 2851], [1784, 349, 1781, 1752], [956, 1, 1927, 6], [2849, 8, 2848, 9], [1520, 3, 2021, 2], [409, 8, 1636, 33]], 'adelic_image': '2856.48.0.?', 'conductor': 22848, 'lmfdb_label': '22848.e1', 'prime': 0}
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id: 105335
{'conductor': 22848, 'elladic_image': '4.6.0.1', 'lmfdb_label': '22848.e1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1077661
{'lmfdb_iso': '22848.e', 'p': 5, 'prec': 20, 'unit': 12275355102334, 'val': 2}
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id: 1077660
{'lmfdb_iso': '22848.e', 'p': 11, 'prec': 20, 'unit': 7305470937893428502, 'val': 2}
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id: 1077666
{'lmfdb_iso': '22848.e', 'p': 13, 'prec': 20, 'unit': 1071413583843010958536, 'val': 2}
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id: 1077669
{'lmfdb_iso': '22848.e', 'p': 19, 'prec': 20, 'unit': 1801920292424175787596283, 'val': 2}
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id: 1077672
{'lmfdb_iso': '22848.e', 'p': 23, 'prec': 20, 'unit': 68599911539588110143415785, 'val': 2}
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id: 1077665
{'lmfdb_iso': '22848.e', 'p': 29, 'prec': 20, 'unit': 607815615929080262294720362, 'val': 2}
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id: 1077676
{'lmfdb_iso': '22848.e', 'p': 37, 'prec': 20, 'unit': 435761715175505323066769065134, 'val': 2}
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id: 1077663
{'lmfdb_iso': '22848.e', 'p': 41, 'prec': 20, 'unit': 1673075711132160922645862566883, 'val': 2}
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id: 1077664
{'lmfdb_iso': '22848.e', 'p': 43, 'prec': 20, 'unit': 7819800942242722168594410430861, 'val': 2}
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id: 1077674
{'lmfdb_iso': '22848.e', 'p': 47, 'prec': 20, 'unit': 15085117518962276924226221265288, 'val': 2}
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id: 1077670
{'lmfdb_iso': '22848.e', 'p': 53, 'prec': 20, 'unit': 439252588820379954585768716779103, 'val': 2}
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id: 1077668
{'lmfdb_iso': '22848.e', 'p': 59, 'prec': 20, 'unit': 1114911273216798360904263823165108, 'val': 2}
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id: 1077675
{'lmfdb_iso': '22848.e', 'p': 61, 'prec': 20, 'unit': 8080313144548621653307172136435093, 'val': 2}
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id: 1077659
{'lmfdb_iso': '22848.e', 'p': 67, 'prec': 20, 'unit': 25860581184690973077575356016793186, 'val': 2}
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id: 1077662
{'lmfdb_iso': '22848.e', 'p': 71, 'prec': 20, 'unit': 133529237230409950757037148568704712, 'val': 2}
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id: 1077671
{'lmfdb_iso': '22848.e', 'p': 73, 'prec': 20, 'unit': 136784810746876898021045354187284896, 'val': 2}
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id: 1077667
{'lmfdb_iso': '22848.e', 'p': 79, 'prec': 20, 'unit': 142558153289154447050293897039568647, 'val': 2}
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id: 1077673
{'lmfdb_iso': '22848.e', 'p': 89, 'prec': 20, 'unit': 10716502979726744362352512174459865909, 'val': 2}
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id: 1077658
{'lmfdb_iso': '22848.e', 'p': 97, 'prec': 20, 'unit': 32957870895702757910777428654794766731, 'val': 2}