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ec_curvedata • Show schema
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{'Ciso': '183920bn', 'Clabel': '183920bn2', 'Cnumber': 2, 'abc_quality': 0.900561520134957, 'absD': 46406559498087669760, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 25080, 'ainvs': [0, -1, 0, -916736, 471007616], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 183920, 'degree': 4976640, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4773679752767584495967044218', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-11741970526489, 6395335210], 'lmfdb_iso': '183920.cg', 'lmfdb_label': '183920.cg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -474, 5486], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.a.1', '120.24.0.?', '132.24.0.?', '228.24.0.?', '836.6.0.?', '1320.48.0.?', '2280.48.0.?', '2508.48.0.?', '8360.12.0.?', '25080.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '20.593029450252474823466064184', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [5, 6, 36784], [11, 72, 1520], [19, 20, 9680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58527315831762786814850051136', 'prec': 103}, 'szpiro_ratio': 4.4102860477014385, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, -1, 0, -4, 0, 1, 0, 0, 0, -2, 0, -2, 0, 0, 0, 1, 0], 'aplist': [0, 2, -1, -4, 0, -2, 0, 1, 0, -6, -2, 2, -6, -10, 0, -6, 12, -8, -14, 6, 4, -4, 6, 6, -16], 'class_deg': 6, 'class_size': 4, 'conductor': 183920, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '183920.cg', 'trace_hash': 1351473928210741729}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0070499415670534802416398278737', 'prec': 110}, 'conductor': 183920, 'gens': [[730, 13794, 1], [220642, 154396242, 23]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3940507042584023134575132764', 'prec': 100}, {'__RealLiteral__': 0, 'data': '8.6020084666193417869834533233', 'prec': 100}], 'lmfdb_label': '183920.cg3', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.18741382795941386792897990322', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.437673914211041840516183982788971149', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1151, 0, 1]], 'xcoord_integral_points': [-1151, 730]}
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lmfdb_label 183920.cg3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8119661
{'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [6]}
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id: 8119660
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 2]}
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id: 8119662
{'degree': 4, 'field': [-40, 0, 7, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [4]}
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id: 8119663
{'degree': 4, 'field': [441, 0, -2, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 6]}
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id: 8119664
{'degree': 6, 'field': [326628, 61272, 7668, -372, -26, -2, 1], 'lmfdb_label': '183920.cg3', 'torsion': [6]}
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id: 8119666
{'degree': 8, 'field': [100, 0, 7820, 0, 709, 0, 54, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 4]}
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id: 8119667
{'degree': 8, 'field': [10000, 0, -1200, 0, -600, 0, -12, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [12]}
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id: 8119665
{'degree': 8, 'field': [148225, 0, -5500, 0, -560, 0, 20, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 4]}
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id: 8119669
{'degree': 12, 'field': [1045034929, 0, 352751058, 0, 14214915, 0, 725960, 0, 16335, 0, 198, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 6]}
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id: 8119668
{'degree': 12, 'field': [4230442681, 3740391202, 1426446123, 229925940, -5980434, -8220970, -845605, 97840, 21966, -90, -213, -4, 1], 'lmfdb_label': '183920.cg3', 'torsion': [3, 6]}
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id: 8119670
{'degree': 16, 'field': [1690000, 0, 5969750, 0, -574475, 0, -1526700, 0, -466535, 0, -60210, 0, -3091, 0, -12, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [8]}
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id: 8119671
{'degree': 16, 'field': [4044121, 0, -4169036, 0, 1303910, 0, 7496, 0, 42119, 0, -2224, 0, 330, 0, -36, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 12]}
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id: 8119672
{'degree': 16, 'field': [7385984, 48640, 3174848, -6611008, 3730504, -551328, 251892, -58644, 18889, -8612, 7020, -2276, -106, 196, -8, -8, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 12]}
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id: 8119673
{'degree': 18, 'field': [-17137031, 16646052, 8002344, 7637734, -5878119, -7604760, -64916, -970146, -1429758, -312598, -92103, 10482, 21753, 90, 1161, -380, 9, -6, 1], 'lmfdb_label': '183920.cg3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 4550291
{'conductor': 183920, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '183920.cg3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4550292
{'conductor': 183920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '183920.cg3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4550293
{'conductor': 183920, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '183920.cg3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4550294
{'conductor': 183920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '183920.cg3', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2846262
{'adelic_gens': [[19854, 24023, 7315, 11494], [11, 2, 25030, 25071], [15959, 25068, 20514, 25007], [1, 0, 12, 1], [1, 6, 6, 37], [10, 3, 15021, 25072], [25069, 12, 25068, 13], [22441, 12, 9246, 73], [1, 12, 0, 1], [8369, 2, 20958, 13], [10, 3, 12513, 25072]], 'adelic_image': '25080.96.1.?', 'conductor': 183920, 'lmfdb_label': '183920.cg3', 'prime': 0}
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id: 688295
{'conductor': 183920, 'elladic_image': '2.3.0.1', 'lmfdb_label': '183920.cg3', 'modell_image': '2B', 'prime': 2}
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id: 688296
{'conductor': 183920, 'elladic_image': '3.4.0.1', 'lmfdb_label': '183920.cg3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 183920.cg does not appear in ec_padic