-
ec_curvedata • Show schema
Hide schema
{'Ciso': '6240a', 'Clabel': '6240a2', 'Cnumber': 2, 'abc_quality': 0.8851019596995587, 'absD': 219348480, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -216, -924], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 1536, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31720244697946464121664093351', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [2186875592, 428415], 'lmfdb_iso': '6240.d', 'lmfdb_label': '6240.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -216, -924], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '60.12.0-4.c.1.2', '104.24.0.?', '120.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4868772640457195345378157268', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20265793844049434084628315758', 'prec': 107}, 'szpiro_ratio': 3.1748374166372586, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, -1, -1, 0, 0, -1, 2, -4, 4, -6, 8, -6, -2, 4, 0, 6, 0, -2, 8, 0, 6, -4, -12, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 6240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6240.d', 'trace_hash': 820463488440630420}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.53025094998530603908333751521', 'prec': 103}, 'conductor': 6240, 'gens': [[-7, 14, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4868772640457195345378157268', 'prec': 100}], 'lmfdb_label': '6240.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2618541843967194830775758958', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1380764817171566246166693547552765202', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-11, 0, 1]], 'xcoord_integral_points': [-11, -7]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [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': '6240.d2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 324740
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [2, 2]}
-
id: 324741
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [4]}
-
id: 324742
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '6240.d2', 'torsion': [4]}
-
id: 324743
{'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '6240.d2', 'torsion': [2, 4]}
-
id: 324747
{'degree': 8, 'field': [-48, 0, -896, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [6]}
-
id: 324744
{'degree': 8, 'field': [676, 0, -752, 0, -36, 0, -8, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [2, 4]}
-
id: 324745
{'degree': 8, 'field': [676, 0, -416, 0, 116, 0, 16, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [8]}
-
id: 324746
{'degree': 8, 'field': [6406, -7216, 8542, -2728, 1555, -232, 82, -4, 1], 'lmfdb_label': '6240.d2', 'torsion': [8]}
-
id: 324750
{'degree': 16, 'field': [41616, 0, 83328, 0, 33904, 0, -2688, 0, 6684, 0, -448, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [2, 8]}
-
id: 324748
{'degree': 16, 'field': [50625, 0, 0, 0, 0, 0, 0, 0, 7650, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [4, 4]}
-
id: 324752
{'degree': 16, 'field': [55225, 0, 105328, 0, 39220, 0, -8784, 0, -3858, 0, 720, 0, 100, 0, 16, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [12]}
-
id: 324751
{'degree': 16, 'field': [4112784, 0, 227136, 0, -5164640, 0, -766272, 0, 527160, 0, -34672, 0, -2568, 0, 0, 0, 1], 'lmfdb_label': '6240.d2', 'torsion': [2, 6]}
-
id: 324753
{'degree': 16, 'field': [10377040, -1285760, 1560384, -1190400, 2313480, -2387136, 1344352, -484832, 142425, -19080, 9228, -3576, 1142, -280, 60, -8, 1], 'lmfdb_label': '6240.d2', 'torsion': [12]}
-
id: 324749
{'degree': 16, 'field': [16991926, -11108776, 17014884, -12249656, 7188594, -1190064, 244408, 145132, -50649, 3740, 4708, -2508, 54, 140, 0, -8, 1], 'lmfdb_label': '6240.d2', 'torsion': [2, 8]}
-
ec_localdata • Show schema
Hide schema
-
id: 124545
{'conductor': 6240, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6240.d2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 124546
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 124547
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.d2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 124548
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6240.d2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 1704859
{'adelic_gens': [[1081, 8, 1204, 33], [1256, 3, 5, 2], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1368, 593, 577, 564], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [1048, 3, 1045, 2], [1368, 593, 187, 174]], 'adelic_image': '1560.48.0.?', 'conductor': 6240, 'lmfdb_label': '6240.d2', 'prime': 0}
-
id: 30628
{'conductor': 6240, 'elladic_image': '8.12.0.7', 'lmfdb_label': '6240.d2', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 243438
{'lmfdb_iso': '6240.d', 'p': 17, 'prec': 20, 'unit': 207075633753247614437168, 'val': 1}
-
id: 243430
{'lmfdb_iso': '6240.d', 'p': 19, 'prec': 20, 'unit': 723425731140909945028752, 'val': 1}
-
id: 243442
{'lmfdb_iso': '6240.d', 'p': 23, 'prec': 20, 'unit': 29801762325967464288209483, 'val': 1}
-
id: 243436
{'lmfdb_iso': '6240.d', 'p': 29, 'prec': 20, 'unit': 1871372041082327158330409155, 'val': 1}
-
id: 243445
{'lmfdb_iso': '6240.d', 'p': 31, 'prec': 20, 'unit': 18208697903465402699808542491, 'val': 1}
-
id: 243433
{'lmfdb_iso': '6240.d', 'p': 37, 'prec': 20, 'unit': 398092913192594280423463017887, 'val': 1}
-
id: 243434
{'lmfdb_iso': '6240.d', 'p': 41, 'prec': 20, 'unit': 3039566030260534332453160444962, 'val': 1}
-
id: 243435
{'lmfdb_iso': '6240.d', 'p': 43, 'prec': 20, 'unit': 1176442596011420200136589372765, 'val': 1}
-
id: 243440
{'lmfdb_iso': '6240.d', 'p': 53, 'prec': 20, 'unit': 518450535619251485861139994833471, 'val': 1}
-
id: 243444
{'lmfdb_iso': '6240.d', 'p': 61, 'prec': 20, 'unit': 1780854116786858297033035668826043, 'val': 1}
-
id: 243432
{'lmfdb_iso': '6240.d', 'p': 67, 'prec': 20, 'unit': 29806345622999249524723997728633189, 'val': 1}
-
id: 243441
{'lmfdb_iso': '6240.d', 'p': 73, 'prec': 20, 'unit': 178080977857305375997294587346229111, 'val': 1}
-
id: 243437
{'lmfdb_iso': '6240.d', 'p': 79, 'prec': 20, 'unit': 1089763578634141264163764179960518725, 'val': 1}
-
id: 243439
{'lmfdb_iso': '6240.d', 'p': 83, 'prec': 20, 'unit': 1810174162780811666162824813472325208, 'val': 1}
-
id: 243443
{'lmfdb_iso': '6240.d', 'p': 89, 'prec': 20, 'unit': 2427542877583880526935193712559481008, 'val': 1}
-
id: 243431
{'lmfdb_iso': '6240.d', 'p': 97, 'prec': 20, 'unit': 44414095553777357187653806104136815682, 'val': 1}