-
ec_curvedata • Show schema
Hide schema
{'Ciso': '8820a', 'Clabel': '8820a2', 'Cnumber': 2, 'abc_quality': 1.2417890362309965, 'absD': 4980788064000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, -98343, -11869858], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 8820, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5102747657017131879129473125', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [129348709488, 6125], 'lmfdb_iso': '8820.h', 'lmfdb_label': '8820.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -18063, -934362], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.5', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '60.48.0-60.r.1.2', '84.48.0.?', '140.6.0.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5430551590839613457113530078', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19943150136626776043336178276', 'prec': 107}, 'szpiro_ratio': 5.074670761573385, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 0, -1, 0, 0, 4, -6, -2, 6, 0, -2, 2, -6, -4, 0, -6, -12, 10, -4, 12, 4, 8, -12, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 8820, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '8820.h', 'trace_hash': 1900725775112506127}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.048774407927260179266076963429', 'prec': 107}, 'conductor': 8820, 'gens': [[-181, 22, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5430551590839613457113530078', 'prec': 100}], 'lmfdb_label': '8820.h3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26959691948760303870194020623', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1135990218565535856491608778523365518', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-182, 0, 1]], 'xcoord_integral_points': [-182, -181, 847]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [3, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '8820.h3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 459849
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [2, 2]}
-
id: 459850
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '8820.h3', 'torsion': [6]}
-
id: 459851
{'degree': 4, 'field': [15, 0, 12, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [4]}
-
id: 459852
{'degree': 4, 'field': [274, 26, -25, -2, 1], 'lmfdb_label': '8820.h3', 'torsion': [2, 6]}
-
id: 459853
{'degree': 6, 'field': [-111, -117, 102, 15, -12, -3, 1], 'lmfdb_label': '8820.h3', 'torsion': [6]}
-
id: 459854
{'degree': 8, 'field': [-6104, -1904, 6920, 3664, 184, 104, 20, -4, 1], 'lmfdb_label': '8820.h3', 'torsion': [2, 4]}
-
id: 459856
{'degree': 8, 'field': [225, 0, 135, 0, 66, 0, 9, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [12]}
-
id: 459855
{'degree': 8, 'field': [17161, 3418, -3034, -746, 319, 62, -16, -4, 1], 'lmfdb_label': '8820.h3', 'torsion': [2, 4]}
-
id: 459858
{'degree': 12, 'field': [196, 0, 0, 0, 0, 0, -6832, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [2, 6]}
-
id: 459857
{'degree': 12, 'field': [12769, -678, -1659, 4430, -1590, -798, 365, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '8820.h3', 'torsion': [3, 6]}
-
id: 459859
{'degree': 12, 'field': [69441, 35406, -33183, -16002, 5196, 3024, 309, -126, -108, -42, 9, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [12]}
-
id: 459862
{'degree': 16, 'field': [625, 0, 15000, 0, 43450, 0, 47400, 0, 24411, 0, 6312, 0, 814, 0, 48, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [2, 12]}
-
id: 459861
{'degree': 16, 'field': [457146, 424440, -497952, 339660, 662100, -727380, 501198, -245340, 122599, -40800, 13762, -3300, 1080, -120, 52, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [2, 12]}
-
id: 459860
{'degree': 16, 'field': [1500625, 0, -171500, 0, 436100, 0, -129500, 0, 22870, 0, -3700, 0, 356, 0, -4, 0, 1], 'lmfdb_label': '8820.h3', 'torsion': [8]}
-
id: 459863
{'degree': 18, 'field': [96122681, -164833581, 113253750, -18963312, -19713501, 9438759, 2323632, -2788311, 506538, 189709, -77418, -6543, 8958, -2211, 441, -150, 48, -9, 1], 'lmfdb_label': '8820.h3', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 184258
{'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '8820.h3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
-
id: 184259
{'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '8820.h3', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 184260
{'conductor': 8820, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '8820.h3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 184261
{'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '8820.h3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
ec_galrep • Show schema
Hide schema
-
id: 1722292
{'adelic_gens': [[409, 12, 408, 13], [152, 11, 105, 388], [11, 2, 370, 411], [1, 0, 12, 1], [10, 3, 141, 412], [179, 408, 234, 347], [1, 6, 6, 37], [246, 397, 245, 386], [1, 12, 0, 1]], 'adelic_image': '420.96.1.?', 'conductor': 8820, 'lmfdb_label': '8820.h3', 'prime': 0}
-
id: 43055
{'conductor': 8820, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8820.h3', 'modell_image': '2B', 'prime': 2}
-
id: 43056
{'conductor': 8820, 'elladic_image': '3.4.0.1', 'lmfdb_label': '8820.h3', 'modell_image': '3B', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 366436
{'lmfdb_iso': '8820.h', 'p': 13, 'prec': 20, 'unit': 7559184924616463605, 'val': 2}
-
id: 366438
{'lmfdb_iso': '8820.h', 'p': 17, 'prec': 20, 'unit': 234755786288274187484565, 'val': 1}
-
id: 366429
{'lmfdb_iso': '8820.h', 'p': 19, 'prec': 20, 'unit': 56704815239276232102542, 'val': 1}
-
id: 366442
{'lmfdb_iso': '8820.h', 'p': 23, 'prec': 20, 'unit': 67404371576464706322625803, 'val': 1}
-
id: 366446
{'lmfdb_iso': '8820.h', 'p': 31, 'prec': 20, 'unit': 11986001044506631102512620098, 'val': 1}
-
id: 366432
{'lmfdb_iso': '8820.h', 'p': 37, 'prec': 20, 'unit': 474558492810013411093881211122, 'val': 1}
-
id: 366434
{'lmfdb_iso': '8820.h', 'p': 41, 'prec': 20, 'unit': 2320943222847301422712425619457, 'val': 1}
-
id: 366435
{'lmfdb_iso': '8820.h', 'p': 43, 'prec': 20, 'unit': 5435732574477657454163967819770, 'val': 1}
-
id: 366440
{'lmfdb_iso': '8820.h', 'p': 53, 'prec': 20, 'unit': 46205721158481799454060758840519, 'val': 1}
-
id: 366444
{'lmfdb_iso': '8820.h', 'p': 59, 'prec': 20, 'unit': 1267422782538166655974487553578630, 'val': 1}
-
id: 366445
{'lmfdb_iso': '8820.h', 'p': 61, 'prec': 20, 'unit': 443811950215462318012883959845517, 'val': 1}
-
id: 366431
{'lmfdb_iso': '8820.h', 'p': 67, 'prec': 20, 'unit': 38098532737261824580884953357471082, 'val': 1}
-
id: 366433
{'lmfdb_iso': '8820.h', 'p': 71, 'prec': 20, 'unit': 392083683601063959719497862641494, 'val': 1}
-
id: 366441
{'lmfdb_iso': '8820.h', 'p': 73, 'prec': 20, 'unit': 38073877952098717724986668924667901, 'val': 1}
-
id: 366437
{'lmfdb_iso': '8820.h', 'p': 79, 'prec': 20, 'unit': 291460552193824168346496911416411027, 'val': 1}
-
id: 366439
{'lmfdb_iso': '8820.h', 'p': 83, 'prec': 20, 'unit': 1361328184404243472997956481736504544, 'val': 1}
-
id: 366443
{'lmfdb_iso': '8820.h', 'p': 89, 'prec': 20, 'unit': 2782341733501325013462648990686315746, 'val': 1}
-
id: 366430
{'lmfdb_iso': '8820.h', 'p': 97, 'prec': 20, 'unit': 47843970472131401217143637519517168291, 'val': 1}