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ec_curvedata • Show schema
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{'Ciso': '150480ce', 'Clabel': '150480ce3', 'Cnumber': 3, 'abc_quality': 1.006986298424931, 'absD': 2572579220201133834240000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 25080, 'ainvs': [0, 0, 0, -251407083, -1532372607718], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 150480, 'degree': 37158912, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5855509498966479544917186445', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [588530213343917460371881, 861551575695360000], 'lmfdb_iso': '150480.bo', 'lmfdb_label': '150480.bo4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1745883, -886935194], 'min_quad_twist_disc': 12, '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', '12.48.0-12.g.1.8', '120.96.0.?', '132.96.0.?', '228.96.0.?', '418.6.0.?', '440.12.0.?', '760.12.0.?', '836.12.0.?', '1254.24.0.?', '1320.192.1.?', '2280.192.1.?', '2508.192.1.?', '8360.24.0.?', '25080.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '52.245583399488596133928704473', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3430976250026477993768639046', 'prec': 100}, 'szpiro_ratio': 5.841618577244791, '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, -1, 0, 2, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, -1, 4, -1, 2, -6, -1, 0, 6, 4, 2, -6, -8, 0, 6, 0, 14, 4, -12, -10, -8, 0, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 150480, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '150480.bo', 'trace_hash': 390194042510039659}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00076847548154643414634309920737', 'prec': 113}, 'conductor': 150480, 'gens': [[514185603272832783362566, 198846122215376765200642170976221300, 4907726281]], 'heights': [{'__RealLiteral__': 0, 'data': '52.245583399488596133928704473', 'prec': 100}], 'lmfdb_label': '150480.bo4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.037917819836342172648864773806', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9241544743455920496246528394041955464', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-9419, 0, 1]], 'xcoord_integral_points': [-9419]}
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lmfdb_label 150480.bo4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 6767442
{'degree': 2, 'field': [-52, -1, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 2]}
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id: 6767445
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [6]}
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id: 6767444
{'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [4]}
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id: 6767443
{'degree': 2, 'field': [57, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [4]}
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id: 6767446
{'degree': 4, 'field': [36, 0, 45, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 4]}
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id: 6767449
{'degree': 4, 'field': [64, 0, 17, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [12]}
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id: 6767448
{'degree': 4, 'field': [196, 0, 29, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [12]}
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id: 6767447
{'degree': 4, 'field': [2704, 0, 105, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 6]}
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id: 6767450
{'degree': 6, 'field': [-75, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [6]}
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id: 6767454
{'degree': 8, 'field': [16, 0, 9705, 0, 1571, 0, 75, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 12]}
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id: 6767451
{'degree': 8, 'field': [14128, 22948, -22982, 100, -129, 92, -26, -4, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 4]}
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id: 6767453
{'degree': 8, 'field': [69696, 58080, 22264, 4840, 22, -110, 11, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [8]}
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id: 6767452
{'degree': 8, 'field': [236100, -3600, 4960, -2680, 1241, 116, -34, -4, 1], 'lmfdb_label': '150480.bo4', 'torsion': [8]}
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id: 6767458
{'degree': 12, 'field': [5604, 12492, -5202, -14970, 8595, -1728, 1291, -726, 330, -110, 33, -6, 1], 'lmfdb_label': '150480.bo4', 'torsion': [12]}
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id: 6767455
{'degree': 12, 'field': [5776, 0, 7692, 0, 3021, 0, 113, 0, -84, 0, -3, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [3, 6]}
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id: 6767457
{'degree': 12, 'field': [25300, 26700, -6750, -42250, 27375, -8580, 4751, -1806, 690, -170, 45, -6, 1], 'lmfdb_label': '150480.bo4', 'torsion': [12]}
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id: 6767456
{'degree': 12, 'field': [19747675414, 2287425642, -2177869077, -216300820, 101160195, 8275002, -2570509, -159126, 37455, 1540, -297, -6, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 6]}
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id: 6767463
{'degree': 16, 'field': [810000, 0, 0, 0, 40501800, 0, 0, 0, 702481, 0, 0, 0, 2102, 0, 0, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [24]}
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id: 6767461
{'degree': 16, 'field': [19155456, -169566336, 546092496, -725014704, 290969956, 89840368, -36465172, 5295948, -937883, -292324, 94492, -21076, 4726, -588, 104, -8, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 8]}
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id: 6767460
{'degree': 16, 'field': [429981696, 0, 26873856, 0, 912384, 0, -305856, 0, -34016, 0, -2124, 0, 44, 0, 9, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [2, 8]}
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id: 6767462
{'degree': 16, 'field': [787878400, 335536000, -279564720, -107340000, 42404676, 12858120, -3229148, -820916, 103749, 60276, -4716, -3972, 662, -28, 24, -8, 1], 'lmfdb_label': '150480.bo4', 'torsion': [24]}
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id: 6767459
{'degree': 16, 'field': [2258530576, 0, 0, 0, 14744104, 0, 0, 0, 116481, 0, 0, 0, 454, 0, 0, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [4, 12]}
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id: 6767464
{'degree': 18, 'field': [217764042438802500, 0, 39212490268530000, 0, 2505565329840000, 0, 66576120249225, 0, 709328919150, 0, 6091168635, 0, 42258424, 0, 183771, 0, 582, 0, 1], 'lmfdb_label': '150480.bo4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 3722614
{'conductor': 150480, 'conductor_valuation': 4, 'discriminant_valuation': 36, 'j_denominator_valuation': 24, 'kodaira_symbol': -32, 'lmfdb_label': '150480.bo4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3722615
{'conductor': 150480, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '150480.bo4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3722616
{'conductor': 150480, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '150480.bo4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3722617
{'conductor': 150480, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '150480.bo4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3722618
{'conductor': 150480, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '150480.bo4', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2640143
{'adelic_gens': [[5241, 1048, 11036, 7229], [1, 12, 12, 145], [5017, 24, 10044, 289], [6263, 25056, 6366, 329], [7936, 3, 7461, 24994], [4179, 8356, 25060, 12459], [20536, 21, 8835, 24706], [15, 106, 23774, 15851], [25057, 24, 25056, 25], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '25080.384.5.?', 'conductor': 150480, 'lmfdb_label': '150480.bo4', 'prime': 0}
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id: 577460
{'conductor': 150480, 'elladic_image': '4.6.0.1', 'lmfdb_label': '150480.bo4', 'modell_image': '2B', 'prime': 2}
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id: 577461
{'conductor': 150480, 'elladic_image': '3.4.0.1', 'lmfdb_label': '150480.bo4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 150480.bo does not appear in ec_padic