-
ec_curvedata • Show schema
Hide schema
{'Ciso': '7220d', 'Clabel': '7220d1', 'Cnumber': 1, 'abc_quality': 0.9907756543685527, 'absD': 306553312890050000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 40, 'ainvs': [0, 1, 0, -332601, -68967860], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7220, 'degree': 86400, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1005929367826485433482697596', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [5405726654464, 407253125], 'lmfdb_iso': '7220.b', 'lmfdb_label': '7220.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -921, 10346], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.2', '10.6.0.a.1', '20.24.0.e.1', '40.48.0-20.e.1.6'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.176748009136902374297455013', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39732438701277987687134533650', 'prec': 103}, 'szpiro_ratio': 5.600437306501105, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -2, 0, -1, 0, 2, 0, 1, 0, 0, 0, -6, 0, 2, 0, 2, 0, 0, 0], 'aplist': [0, -2, -1, 2, 0, -6, 2, 0, -2, 2, -4, 10, 10, 6, -6, -6, 4, 2, 2, -12, -6, -8, -2, -2, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 7220, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7220.b', 'trace_hash': 1025543353149173370}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.014977804502273857744265685293', 'prec': 107}, 'conductor': 7220, 'gens': [[-7597779, 6225755821, 166]], 'heights': [{'__RealLiteral__': 0, 'data': '13.176748009136902374297455013', 'prec': 100}], 'lmfdb_label': '7220.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19974808901783509164910713620', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6320302342946592970256260063330795145', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-260, 0, 1]], 'xcoord_integral_points': [-260]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [1, 0], '5': [5, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7220.b1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 380203
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '7220.b1', 'torsion': [2, 2]}
-
id: 380204
{'degree': 4, 'field': [461, 18, -36, -2, 1], 'lmfdb_label': '7220.b1', 'torsion': [4]}
-
id: 380207
{'degree': 8, 'field': [-420, -348, 270, 155, -74, -7, 7, -4, 1], 'lmfdb_label': '7220.b1', 'torsion': [6]}
-
id: 380206
{'degree': 8, 'field': [5041, 3976, 1568, -646, 223, 38, 2, -2, 1], 'lmfdb_label': '7220.b1', 'torsion': [2, 4]}
-
id: 380205
{'degree': 8, 'field': [29836, 35952, 13360, -1448, -766, -32, -40, -2, 1], 'lmfdb_label': '7220.b1', 'torsion': [2, 4]}
-
id: 380210
{'degree': 16, 'field': [21904, 0, -154789, 0, 237010, 0, -152907, 0, 22035, 0, 273, 0, -113, 0, -10, 0, 1], 'lmfdb_label': '7220.b1', 'torsion': [2, 6]}
-
id: 380209
{'degree': 16, 'field': [422500, 0, 253312, 0, 97160, 0, -3408, 0, -2120, 0, -1920, 0, 516, 0, -40, 0, 1], 'lmfdb_label': '7220.b1', 'torsion': [8]}
-
id: 380208
{'degree': 16, 'field': [141158161, -20720464, 1520768, 11252506, -3077913, 1365620, 281202, -175592, 71345, -3752, -1478, 1320, -473, 6, 8, -4, 1], 'lmfdb_label': '7220.b1', 'torsion': [4, 4]}
-
ec_localdata • Show schema
Hide schema
-
id: 148559
{'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '7220.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 148560
{'conductor': 7220, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '7220.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 148561
{'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '7220.b1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
ec_galrep • Show schema
Hide schema
-
id: 1711797
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [17, 6, 34, 35], [16, 3, 5, 2], [39, 32, 36, 7], [33, 8, 32, 9], [21, 8, 0, 1], [1, 4, 4, 17], [3, 8, 28, 35], [5, 8, 8, 37]], 'adelic_image': '40.48.0.?', 'conductor': 7220, 'lmfdb_label': '7220.b1', 'prime': 0}
-
id: 35674
{'conductor': 7220, 'elladic_image': '8.12.0.22', 'lmfdb_label': '7220.b1', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 292684
{'lmfdb_iso': '7220.b', 'p': 7, 'prec': 20, 'unit': 1156455676794287, 'val': 1}
-
id: 292688
{'lmfdb_iso': '7220.b', 'p': 13, 'prec': 20, 'unit': 32124094277609245635, 'val': 1}
-
id: 292690
{'lmfdb_iso': '7220.b', 'p': 17, 'prec': 20, 'unit': 227407553546956256267629, 'val': 1}
-
id: 292695
{'lmfdb_iso': '7220.b', 'p': 23, 'prec': 20, 'unit': 37634228078335016878563220, 'val': 1}
-
id: 292687
{'lmfdb_iso': '7220.b', 'p': 29, 'prec': 20, 'unit': 4892325313368043073929630946, 'val': 1}
-
id: 292700
{'lmfdb_iso': '7220.b', 'p': 31, 'prec': 20, 'unit': 459925334220847835350576284, 'val': 1}
-
id: 292683
{'lmfdb_iso': '7220.b', 'p': 37, 'prec': 20, 'unit': 62756600588695993383834083791, 'val': 1}
-
id: 292685
{'lmfdb_iso': '7220.b', 'p': 41, 'prec': 20, 'unit': 3604858529022219259809153190384, 'val': 1}
-
id: 292686
{'lmfdb_iso': '7220.b', 'p': 43, 'prec': 20, 'unit': 7200024643836865175377459122056, 'val': 1}
-
id: 292698
{'lmfdb_iso': '7220.b', 'p': 47, 'prec': 20, 'unit': 31387711442639738930098396531296, 'val': 1}
-
id: 292692
{'lmfdb_iso': '7220.b', 'p': 53, 'prec': 20, 'unit': 100567000090726505080484868032482, 'val': 1}
-
id: 292693
{'lmfdb_iso': '7220.b', 'p': 59, 'prec': 20, 'unit': 3270628518031071001040579112662237, 'val': 1}
-
id: 292699
{'lmfdb_iso': '7220.b', 'p': 61, 'prec': 20, 'unit': 7063963240118626834393699922183438, 'val': 1}
-
id: 292682
{'lmfdb_iso': '7220.b', 'p': 67, 'prec': 20, 'unit': 25660004146164301546778723002716275, 'val': 1}
-
id: 292697
{'lmfdb_iso': '7220.b', 'p': 71, 'prec': 20, 'unit': 2821846236751631427853548266710878, 'val': 1}
-
id: 292694
{'lmfdb_iso': '7220.b', 'p': 73, 'prec': 20, 'unit': 154973942896906706959812256304632251, 'val': 1}
-
id: 292689
{'lmfdb_iso': '7220.b', 'p': 79, 'prec': 20, 'unit': 1093725214158595400419624400444169023, 'val': 1}
-
id: 292691
{'lmfdb_iso': '7220.b', 'p': 83, 'prec': 20, 'unit': 1297443208359416278106025230394825466, 'val': 1}
-
id: 292696
{'lmfdb_iso': '7220.b', 'p': 89, 'prec': 20, 'unit': 10688263677579392039730108841882215036, 'val': 1}
-
id: 292681
{'lmfdb_iso': '7220.b', 'p': 97, 'prec': 20, 'unit': 26419393282360328494485832309295325401, 'val': 1}