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ec_curvedata • Show schema
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{'Ciso': '44400c', 'Clabel': '44400c4', 'Cnumber': 4, 'abc_quality': 1.0974085320777067, 'absD': 3996000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -133200008, -591659581488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44400, 'degree': 2433024, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8975322513277994555798486886', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [8167450100737631904002, 124875], 'lmfdb_iso': '44400.v', 'lmfdb_label': '44400.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -5328000, 4735407852], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.bb.1.6', '888.24.0.?', '2220.12.0.?', '4440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.743783671608011594873287794', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4574283795974660679803395773', 'prec': 100}, 'szpiro_ratio': 6.329849865464349, '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, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, -1, 0, 0, 0, -6, -2, 8, 0, -2, -8, -1, 10, 4, 4, -6, 4, 2, -12, 8, -2, -8, -4, 10, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 44400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '44400.v', 'trace_hash': 168680742709634904}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0030425341688268413057259966184', 'prec': 110}, 'conductor': 44400, 'gens': [[525021331762, 378167904674173250, 2201]], 'heights': [{'__RealLiteral__': 0, 'data': '24.743783671608011594873287794', 'prec': 100}], 'lmfdb_label': '44400.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.044439942841075267590907317877', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3984493281527662192829116877276573271', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-6663, 0, 1]], 'xcoord_integral_points': [-6663]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '44400.v1'}
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ec_torsion_growth • Show schema
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id: 2174066
{'degree': 2, 'field': [-1110, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [2, 2]}
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id: 2174068
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [4]}
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id: 2174067
{'degree': 2, 'field': [139, -1, 1], 'lmfdb_label': '44400.v1', 'torsion': [4]}
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id: 2174069
{'degree': 4, 'field': [18771, -282, 283, -2, 1], 'lmfdb_label': '44400.v1', 'torsion': [2, 4]}
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id: 2174073
{'degree': 8, 'field': [-16875, 0, -11000, 0, 450, 0, 0, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [6]}
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id: 2174071
{'degree': 8, 'field': [20359, 7310, 12302, 6764, 1735, 76, 80, -2, 1], 'lmfdb_label': '44400.v1', 'torsion': [8]}
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id: 2174072
{'degree': 8, 'field': [2772225, 0, -166500, 0, 3660, 0, -20, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [8]}
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id: 2174070
{'degree': 8, 'field': [99720196, 0, -239792, 0, -19956, 0, -8, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [2, 4]}
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id: 2174079
{'degree': 16, 'field': [2937796, 0, -359264, 0, 1794652, 0, 353808, 0, -8280, 0, 2532, 0, 232, 0, 4, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [12]}
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id: 2174077
{'degree': 16, 'field': [164916964, 0, 763072600, 0, 234651532, 0, -10769056, 0, -8194360, 0, -564124, 0, 17920, 0, 148, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [2, 6]}
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id: 2174078
{'degree': 16, 'field': [1543939849, 0, -620682716, 0, 136253794, 0, -11954800, 0, 1857131, 0, 231008, 0, 8890, 0, 148, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [12]}
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id: 2174076
{'degree': 16, 'field': [1826965696, -4823651072, 5852626272, -4360323328, 2283400416, -916399680, 299964856, -82412224, 19748856, -3866672, 726454, -94800, 16011, -1064, 198, -4, 1], 'lmfdb_label': '44400.v1', 'torsion': [2, 8]}
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id: 2174075
{'degree': 16, 'field': [14019220850625, 0, 643632277500, 0, -6103471500, 0, -798147000, 0, -13469625, 0, 67800, 0, 7060, 0, 140, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [2, 8]}
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id: 2174074
{'degree': 16, 'field': [622503747500625, 0, 0, 0, 0, 0, 0, 0, 848300850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '44400.v1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 1056882
{'conductor': 44400, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '44400.v1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1056883
{'conductor': 44400, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '44400.v1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1056884
{'conductor': 44400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '44400.v1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1056885
{'conductor': 44400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '44400.v1', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1960261
{'adelic_gens': [[7, 6, 4434, 4435], [1, 0, 8, 1], [2968, 3, 2965, 2], [1, 8, 0, 1], [1, 4, 4, 17], [1772, 4439, 3529, 4434], [4433, 8, 4432, 9], [1664, 3877, 1661, 1632], [3888, 1673, 547, 534], [608, 3, 2045, 2]], 'adelic_image': '4440.48.0.?', 'conductor': 44400, 'lmfdb_label': '44400.v1', 'prime': 0}
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id: 193213
{'conductor': 44400, 'elladic_image': '8.12.0.7', 'lmfdb_label': '44400.v1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 2215789
{'lmfdb_iso': '44400.v', 'p': 13, 'prec': 20, 'unit': 85475115847244041416, 'val': 1}
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id: 2215791
{'lmfdb_iso': '44400.v', 'p': 17, 'prec': 20, 'unit': 180533495157250601295350, 'val': 1}
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id: 2215792
{'lmfdb_iso': '44400.v', 'p': 19, 'prec': 20, 'unit': 1938929448131043343866732, 'val': 1}
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id: 2215788
{'lmfdb_iso': '44400.v', 'p': 29, 'prec': 20, 'unit': 598400373162789664526286912, 'val': 1}
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id: 2215799
{'lmfdb_iso': '44400.v', 'p': 31, 'prec': 20, 'unit': 12369783409306202354230027129, 'val': 1}
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id: 2215786
{'lmfdb_iso': '44400.v', 'p': 41, 'prec': 20, 'unit': 1792279704227312795249008464275, 'val': 1}
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id: 2215787
{'lmfdb_iso': '44400.v', 'p': 43, 'prec': 20, 'unit': 5139900653702089087689651293655, 'val': 1}
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id: 2215797
{'lmfdb_iso': '44400.v', 'p': 47, 'prec': 20, 'unit': 24073869012284549567659689567014, 'val': 1}
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id: 2215793
{'lmfdb_iso': '44400.v', 'p': 53, 'prec': 20, 'unit': 290574221971625156338076484056693, 'val': 1}
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id: 2215794
{'lmfdb_iso': '44400.v', 'p': 59, 'prec': 20, 'unit': 2504794801086762823604672037680554, 'val': 1}
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id: 2215798
{'lmfdb_iso': '44400.v', 'p': 61, 'prec': 20, 'unit': 549412499310608419138717049825083, 'val': 1}
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id: 2215784
{'lmfdb_iso': '44400.v', 'p': 67, 'prec': 20, 'unit': 16614192054661290091030306678418741, 'val': 1}
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id: 2215785
{'lmfdb_iso': '44400.v', 'p': 71, 'prec': 20, 'unit': 78669068840059336959497559126278456, 'val': 1}
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id: 2215795
{'lmfdb_iso': '44400.v', 'p': 73, 'prec': 20, 'unit': 37925130542077590107161072517474988, 'val': 1}
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id: 2215790
{'lmfdb_iso': '44400.v', 'p': 79, 'prec': 20, 'unit': 1100123774329598754408008847879194987, 'val': 1}
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id: 2215783
{'lmfdb_iso': '44400.v', 'p': 83, 'prec': 20, 'unit': 375418730517788353208613067983117293, 'val': 1}
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id: 2215796
{'lmfdb_iso': '44400.v', 'p': 89, 'prec': 20, 'unit': 4899532818751568823707630752130633856, 'val': 1}
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id: 2215782
{'lmfdb_iso': '44400.v', 'p': 97, 'prec': 20, 'unit': 14838219480100111864396982460034529145, 'val': 1}