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ec_curvedata • Show schema
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{'Ciso': '58121b', 'Clabel': '58121b2', 'Cnumber': 2, 'abc_quality': 0.9262544492890874, 'absD': 1219476281401, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 12236, 'ainvs': [1, -1, 0, -3136, -41013], 'analytic_rank': 1, 'bad_primes': [7, 19, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 58121, 'degree': 69120, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0200120521098023131671174525', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [72511713, 25921], 'lmfdb_iso': '58121.c', 'lmfdb_label': '58121.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -9, 8], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '28.12.0.b.1', '76.12.0.?', '92.12.0.?', '532.24.0.?', '644.24.0.?', '1748.24.0.?', '12236.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.928659242893025165816502810', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45220743747341791683739626344', 'prec': 107}, 'szpiro_ratio': 3.260252697815681, '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, 0, -1, 2, 0, 1, -3, -3, 2, 4, 0, -6, 1, 0, -1, -2, -3, 0, -2], 'aplist': [1, 0, 2, 1, 4, -6, -2, 0, -1, 2, 4, 2, 6, 12, -12, 10, 0, 2, -12, -8, -14, -8, -4, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 58121, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '58121.c', 'trace_hash': 1575123793256536242}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.13002557667559790553166516560', 'prec': 103}, 'conductor': 58121, 'gens': [[1879871, 2538590341, 38]], 'heights': [{'__RealLiteral__': 0, 'data': '11.928659242893025165816502810', 'prec': 100}], 'lmfdb_label': '58121.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.65686810457354404938129524616', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8355557869828284413526530023614117686', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-14, 7, 1], [62, -31, 1]], 'xcoord_integral_points': [-14, 62]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 1], '3': [3, 5, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '58121.c2'}
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ec_torsion_growth • Show schema
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id: 2797823
{'degree': 4, 'field': [1, 0, -21, 0, 1], 'lmfdb_label': '58121.c2', 'torsion': [2, 4]}
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id: 2797821
{'degree': 4, 'field': [9, 0, 13, 0, 1], 'lmfdb_label': '58121.c2', 'torsion': [2, 4]}
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id: 2797822
{'degree': 4, 'field': [5776, 0, 285, 0, 1], 'lmfdb_label': '58121.c2', 'torsion': [2, 4]}
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id: 2797824
{'degree': 8, 'field': [-3603, 672, 1653, 315, -642, -84, 21, 0, 1], 'lmfdb_label': '58121.c2', 'torsion': [2, 6]}
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id: 2797828
{'degree': 16, 'field': [-3328879, -9993592, -8188046, 987344, 3064868, -542340, -994014, 279496, 260341, -50324, -36202, 3496, 2684, -92, -92, 0, 1], 'lmfdb_label': '58121.c2', 'torsion': [2, 8]}
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id: 2797826
{'degree': 16, 'field': [1883392, -1393728, 1910384, -1174376, 971916, -556704, 360210, -183932, 92763, -37640, 14458, -4404, 1280, -280, 60, -8, 1], 'lmfdb_label': '58121.c2', 'torsion': [2, 8]}
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id: 2797825
{'degree': 16, 'field': [2152089, 0, -3759048, 0, 3298126, 0, -1539072, 0, 402311, 0, -52320, 0, 3350, 0, -96, 0, 1], 'lmfdb_label': '58121.c2', 'torsion': [4, 4]}
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id: 2797827
{'degree': 16, 'field': [208827064576, 0, 55604839680, 0, 15248832144, 0, 316854720, 0, -13368040, 0, 468720, 0, 33369, 0, 180, 0, 1], 'lmfdb_label': '58121.c2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 1398793
{'conductor': 58121, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58121.c2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 1398794
{'conductor': 58121, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '58121.c2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1398795
{'conductor': 58121, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58121.c2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2049865
{'adelic_gens': [[1, 0, 4, 1], [4789, 646, 0, 1], [10489, 1292, 9386, 2585], [1, 4, 0, 1], [6439, 0, 0, 12235], [6765, 646, 9652, 10299], [12233, 4, 12232, 5]], 'adelic_image': '12236.48.0.?', 'conductor': 58121, 'lmfdb_label': '58121.c2', 'prime': 0}
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id: 246421
{'conductor': 58121, 'elladic_image': '2.6.0.1', 'lmfdb_label': '58121.c2', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 2947409
{'lmfdb_iso': '58121.c', 'p': 5, 'prec': 20, 'unit': 10683754801584, 'val': 1}
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id: 2947408
{'lmfdb_iso': '58121.c', 'p': 11, 'prec': 20, 'unit': 44836268566062477646, 'val': 1}
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id: 2947415
{'lmfdb_iso': '58121.c', 'p': 13, 'prec': 20, 'unit': 308616542210099746745, 'val': 1}
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id: 2947417
{'lmfdb_iso': '58121.c', 'p': 17, 'prec': 20, 'unit': 95966537889289782793242, 'val': 1}
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id: 2947414
{'lmfdb_iso': '58121.c', 'p': 29, 'prec': 20, 'unit': 3989465954772165864370240793, 'val': 1}
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id: 2947411
{'lmfdb_iso': '58121.c', 'p': 31, 'prec': 20, 'unit': 21556219676658581192425464675, 'val': 1}
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id: 2947424
{'lmfdb_iso': '58121.c', 'p': 37, 'prec': 20, 'unit': 395050118941970836267655047593, 'val': 1}
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id: 2947412
{'lmfdb_iso': '58121.c', 'p': 41, 'prec': 20, 'unit': 1795599164370356848306715773113, 'val': 1}
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id: 2947413
{'lmfdb_iso': '58121.c', 'p': 43, 'prec': 20, 'unit': 1411362137457852671962674150632, 'val': 1}
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id: 2947416
{'lmfdb_iso': '58121.c', 'p': 47, 'prec': 20, 'unit': 24024081087633275191085564042172, 'val': 1}
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id: 2947419
{'lmfdb_iso': '58121.c', 'p': 53, 'prec': 20, 'unit': 50146032091401367405478208560952, 'val': 1}
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id: 2947423
{'lmfdb_iso': '58121.c', 'p': 61, 'prec': 20, 'unit': 6996611952870616941965871529480478, 'val': 1}
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id: 2947418
{'lmfdb_iso': '58121.c', 'p': 67, 'prec': 20, 'unit': 10746675439220401434823886491828839, 'val': 1}
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id: 2947410
{'lmfdb_iso': '58121.c', 'p': 71, 'prec': 20, 'unit': 142210711710905846620706905363083943, 'val': 1}
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id: 2947420
{'lmfdb_iso': '58121.c', 'p': 73, 'prec': 20, 'unit': 175448336410306925800497145045260381, 'val': 1}
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id: 2947422
{'lmfdb_iso': '58121.c', 'p': 79, 'prec': 20, 'unit': 1068825718706444845095205163162623059, 'val': 1}
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id: 2947407
{'lmfdb_iso': '58121.c', 'p': 83, 'prec': 20, 'unit': 1209704078425308919635229847227019529, 'val': 1}
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id: 2947421
{'lmfdb_iso': '58121.c', 'p': 89, 'prec': 20, 'unit': 10736346931136229622212791278272445598, 'val': 1}
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id: 2947406
{'lmfdb_iso': '58121.c', 'p': 97, 'prec': 20, 'unit': 23449546422420287624338388324137904317, 'val': 1}