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ec_curvedata • Show schema
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{'Ciso': '2880bb', 'Clabel': '2880bb7', 'Cnumber': 7, 'abc_quality': 1.0818126452233845, 'absD': 15479341056000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, -3072108, -2072539568], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 36864, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1531929003903244901127131222', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '2880.q', 'lmfdb_label': '2880.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.2', '12.48.0-12.g.1.5', '24.192.1-24.dj.3.2', '40.24.0-40.v.1.5', '60.96.0-60.c.3.8', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.050237091612961209613551594', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232155', 'prec': 103}, 'szpiro_ratio': 7.083912344901227, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, -1, 4, 0, -2, -6, -4, 0, -6, -8, -2, 6, -4, 0, -6, 0, 10, -4, 0, 2, -8, -12, -18, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 2880, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '2880.q', 'trace_hash': 807503567841284857}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.013482188961938608996498264467', 'prec': 107}, 'conductor': 2880, 'gens': [[60634256, 471846682404, 35]], 'heights': [{'__RealLiteral__': 0, 'data': '15.050237091612961209613551594', 'prec': 100}], 'lmfdb_label': '2880.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11403559554655520439696261801', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4325254997178779021589425932512116479', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1012, 0, 1]], 'xcoord_integral_points': [-1012]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 1, 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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2880.q1'}
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ec_torsion_growth • Show schema
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id: 150473
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 2]}
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id: 150475
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2880.q1', 'torsion': [4]}
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id: 150476
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [6]}
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id: 150474
{'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [4]}
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id: 150480
{'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [12]}
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id: 150478
{'degree': 4, 'field': [9, 0, -4, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 6]}
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id: 150479
{'degree': 4, 'field': [49, 0, 16, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [12]}
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id: 150477
{'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 4]}
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id: 150481
{'degree': 6, 'field': [-24, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [6]}
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id: 150483
{'degree': 8, 'field': [16, 0, -42, 0, 29, 0, 12, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [8]}
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id: 150485
{'degree': 8, 'field': [81, 0, 36, 0, 7, 0, 4, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 12]}
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id: 150482
{'degree': 8, 'field': [100, 0, 0, 0, -140, 0, 0, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 4]}
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id: 150484
{'degree': 8, 'field': [100, 0, 80, 0, 54, 0, 8, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [24]}
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id: 150487
{'degree': 12, 'field': [-4310, -180, 1974, 2388, 843, -1008, -506, 0, 195, -12, -24, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 6]}
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id: 150486
{'degree': 12, 'field': [25, -180, 372, 432, 186, 72, -50, -72, 24, 0, -6, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [3, 12]}
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id: 150488
{'degree': 12, 'field': [6561, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [12]}
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id: 150490
{'degree': 16, 'field': [1, -18, 143, -630, 1595, -2292, 2244, -1620, 824, -240, 36, -24, 35, -30, 17, -6, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 8]}
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id: 150491
{'degree': 16, 'field': [81, 0, 108, 0, -108, 0, 408, 0, 823, 0, -136, 0, -12, 0, -4, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 24]}
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id: 150493
{'degree': 16, 'field': [1296, 0, 0, 0, 504, 0, 0, 0, 121, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [24]}
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id: 150489
{'degree': 16, 'field': [14641, 0, 14036, 0, 10310, 0, 3984, 0, 1019, 0, -336, 0, -10, 0, -4, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [4, 4]}
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id: 150492
{'degree': 16, 'field': [50625, 0, 0, 0, 9000, 0, 0, 0, 3250, 0, 0, 0, 40, 0, 0, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [2, 12]}
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id: 150494
{'degree': 18, 'field': [4812, -24840, 40476, 47380, 37494, 21900, 94225, 50100, 54456, 13960, 12183, 1500, 730, -60, 27, -20, 12, 0, 1], 'lmfdb_label': '2880.q1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 51423
{'conductor': 2880, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '2880.q1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 51424
{'conductor': 2880, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '2880.q1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 51425
{'conductor': 2880, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2880.q1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1682799
{'adelic_gens': [[1, 12, 12, 25], [99, 76, 112, 27], [97, 24, 96, 25], [1, 0, 24, 1], [89, 96, 90, 119], [1, 24, 0, 1], [78, 41, 43, 28], [15, 106, 14, 11], [112, 3, 117, 34]], 'adelic_image': '120.384.5.?', 'conductor': 2880, 'lmfdb_label': '2880.q1', 'prime': 0}
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id: 14473
{'conductor': 2880, 'elladic_image': '8.12.0.12', 'lmfdb_label': '2880.q1', 'modell_image': '2B', 'prime': 2}
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id: 14474
{'conductor': 2880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2880.q1', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 92823
{'lmfdb_iso': '2880.q', 'p': 7, 'prec': 20, 'unit': 28257928556708, 'val': 1}
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id: 92827
{'lmfdb_iso': '2880.q', 'p': 13, 'prec': 20, 'unit': 1324546009966051747404, 'val': 1}
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id: 92829
{'lmfdb_iso': '2880.q', 'p': 17, 'prec': 20, 'unit': 137281762489648643783924, 'val': 1}
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id: 92819
{'lmfdb_iso': '2880.q', 'p': 19, 'prec': 20, 'unit': 742307907688142680217466, 'val': 1}
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id: 92826
{'lmfdb_iso': '2880.q', 'p': 29, 'prec': 20, 'unit': 3854821009403082426100542575, 'val': 1}
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id: 92835
{'lmfdb_iso': '2880.q', 'p': 31, 'prec': 20, 'unit': 18280681335131766729297085281, 'val': 1}
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id: 92822
{'lmfdb_iso': '2880.q', 'p': 37, 'prec': 20, 'unit': 345375413370249011779477861276, 'val': 1}
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id: 92824
{'lmfdb_iso': '2880.q', 'p': 41, 'prec': 20, 'unit': 4121657085332191757332303441016, 'val': 1}
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id: 92825
{'lmfdb_iso': '2880.q', 'p': 43, 'prec': 20, 'unit': 10805883463351550726762521140525, 'val': 1}
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id: 92831
{'lmfdb_iso': '2880.q', 'p': 53, 'prec': 20, 'unit': 570563013637087601711155544735507, 'val': 1}
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id: 92834
{'lmfdb_iso': '2880.q', 'p': 61, 'prec': 20, 'unit': 4243417099563647878430113621417956, 'val': 1}
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id: 92821
{'lmfdb_iso': '2880.q', 'p': 67, 'prec': 20, 'unit': 44367118261638750191850533126926222, 'val': 1}
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id: 92832
{'lmfdb_iso': '2880.q', 'p': 73, 'prec': 20, 'unit': 56634593387483834628516410702135607, 'val': 1}
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id: 92828
{'lmfdb_iso': '2880.q', 'p': 79, 'prec': 20, 'unit': 171072684729614398264663184522981257, 'val': 1}
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id: 92830
{'lmfdb_iso': '2880.q', 'p': 83, 'prec': 20, 'unit': 644777049343277378362304598300062063, 'val': 1}
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id: 92833
{'lmfdb_iso': '2880.q', 'p': 89, 'prec': 20, 'unit': 9174363617301522168537946789438099727, 'val': 1}
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id: 92820
{'lmfdb_iso': '2880.q', 'p': 97, 'prec': 20, 'unit': 26781870837892252051371613873514709022, 'val': 1}