{"Clabel": "6720bw7", "lmfdb_label": "6720.bi1", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "12.357657305109904366622006291", "prec": 100}, "ainvs": [0, 1, 0, -22478881, 41013876575], "jinv": [4791901410190533590281, 41160000], "min_quad_twist_ainvs": [1, 0, 1, -351233, -80149132], "iso_nlabel": 34, "Cnumber": 7, "lmfdb_number": 1, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 6, "faltings_ratio": 12, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 1, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 221184, "semistable": false, "potential_good_reduction": false, "absD": 10789847040000, "faltings_height": {"__RealLiteral__": 0, "data": "2.5419857771503666448026043872", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.5022650063104486806767562050", "prec": 100}, "elladic_images": ["8.12.0.8", "3.4.0.1"], "modell_images": ["2B", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.c.1", "6.12.0.a.1", "8.12.0-4.c.1.4", "12.48.0.c.4", "24.96.0-12.c.4.6", "40.24.0-40.ba.1.11", "42.24.0.c.1", "84.96.1.?", "120.192.1.?", "168.192.1.?", "840.384.5.?"], "abc_quality": 1.0633272403824712, "szpiro_ratio": 7.080332694032578} {"Clabel": "6720bw6", "lmfdb_label": "6720.bi2", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "6.1788286525549521833110031457", "prec": 100}, "ainvs": [0, 1, 0, -1404961, 640460639], "jinv": [1169975873419524361, 108425318400], "min_quad_twist_ainvs": [1, 0, 1, -21953, -1253644], "iso_nlabel": 34, "Cnumber": 6, "lmfdb_number": 2, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 5, "faltings_ratio": 6, "isogeny_degrees": [1, 2, 3, 6], "nonmax_primes": [2, 3], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 5, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 110592, "semistable": false, "potential_good_reduction": false, "absD": 28423046666649600, "faltings_height": {"__RealLiteral__": 0, "data": "2.1954121868703939900939883264", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.1556914160304760259681401442", "prec": 100}, "elladic_images": ["8.12.0.1", "3.4.0.1"], "modell_images": ["2Cs", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.6.0.a.1", "3.4.0.a.1", "6.24.0.a.1", "8.12.0-2.a.1.1", "12.48.0.a.2", "20.12.0.a.1", "24.96.0-12.a.2.16", "40.24.0-20.a.1.1", "60.96.1.e.2", "84.96.1.?", "120.192.1.?", "168.192.1.?", "420.192.5.?", "840.384.5.?"], "abc_quality": 1.0396558118857293, "szpiro_ratio": 6.136517057126091} {"Clabel": "6720bw8", "lmfdb_label": "6720.bi3", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "3.0894143262774760916555015728", "prec": 100}, "ainvs": [0, 1, 0, -1302561, 737883999], "jinv": [-932348627918877961, 358766164249920], "min_quad_twist_ainvs": [1, 0, 1, -20353, -1443724], "iso_nlabel": 34, "Cnumber": 8, "lmfdb_number": 3, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 7, "faltings_ratio": 12, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 221184, "semistable": false, "potential_good_reduction": false, "absD": 94048397361131028480, "faltings_height": {"__RealLiteral__": 0, "data": "2.5419857771503666448026043872", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.5022650063104486806767562050", "prec": 100}, "elladic_images": ["8.12.0.7", "3.4.0.1"], "modell_images": ["2B", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.c.1", "6.12.0.a.1", "8.12.0-4.c.1.3", "12.48.0.c.2", "20.12.0.h.1", "24.96.0-12.c.2.18", "40.24.0-20.h.1.1", "60.96.1.m.2", "120.192.1.?", "168.192.1.?", "840.384.5.?"], "abc_quality": 1.0450039140149439, "szpiro_ratio": 6.16860118075322} {"Clabel": "6720bw4", "lmfdb_label": "6720.bi4", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "4.1192191017033014555406687638", "prec": 100}, "ainvs": [0, 1, 0, -278881, 55596575], "jinv": [9150443179640281, 184570312500], "min_quad_twist_ainvs": [1, 0, 1, -4358, -109132], "iso_nlabel": 34, "Cnumber": 4, "lmfdb_number": 4, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 3, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 5, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 73728, "semistable": false, "potential_good_reduction": false, "absD": 48384000000000000, "faltings_height": {"__RealLiteral__": 0, "data": "1.9926796328163117991049817687", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.95295886197639383497913358651", "prec": 103}, "elladic_images": ["8.12.0.8", "3.4.0.1"], "modell_images": ["2B", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.c.1", "6.12.0.a.1", "8.12.0-4.c.1.4", "12.48.0.c.3", "24.96.0-12.c.3.15", "40.24.0-40.ba.1.11", "42.24.0.c.1", "84.96.1.?", "120.192.1.?", "168.192.1.?", "840.384.5.?"], "abc_quality": 1.0221395366994406, "szpiro_ratio": 5.586077675090415} {"Clabel": "6720bw3", "lmfdb_label": "6720.bi5", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "12.357657305109904366622006291", "prec": 100}, "ainvs": [0, 1, 0, -94241, 8431455], "jinv": [353108405631241, 86318776320], "min_quad_twist_ainvs": [1, 0, 1, -1473, -16652], "iso_nlabel": 34, "Cnumber": 3, "lmfdb_number": 5, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 2, "faltings_ratio": 3, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 1, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 55296, "semistable": false, "potential_good_reduction": false, "absD": 22627949299630080, "faltings_height": {"__RealLiteral__": 0, "data": "1.8488385965904213353853722657", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.80911782575050337125952408351", "prec": 103}, "elladic_images": ["8.12.0.12", "3.4.0.1"], "modell_images": ["2B", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.c.1", "6.12.0.a.1", "8.12.0-4.c.1.2", "12.24.0.g.1", "24.96.0-24.bt.2.21", "40.24.0-40.ba.1.9", "60.48.0.c.1", "84.48.0.?", "120.192.1.?", "168.192.1.?", "210.24.0.?", "420.96.1.?", "840.384.5.?"], "abc_quality": 1.0154697965758581, "szpiro_ratio": 5.216755048552252} {"Clabel": "6720bw2", "lmfdb_label": "6720.bi6", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "2.0596095508516507277703343819", "prec": 100}, "ainvs": [0, 1, 0, -36961, -1448161], "jinv": [21302308926361, 8930250000], "min_quad_twist_ainvs": [1, 0, 1, -578, 2756], "iso_nlabel": 34, "Cnumber": 2, "lmfdb_number": 6, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 1, "faltings_ratio": 2, "isogeny_degrees": [1, 2, 3, 6], "nonmax_primes": [2, 3], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 11, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 36864, "semistable": false, "potential_good_reduction": false, "absD": 2341011456000000, "faltings_height": {"__RealLiteral__": 0, "data": "1.6461060425363391443963657080", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.60638527169642118027051752581", "prec": 103}, "elladic_images": ["8.12.0.1", "3.4.0.1"], "modell_images": ["2Cs", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.6.0.a.1", "3.4.0.a.1", "6.24.0.a.1", "8.12.0-2.a.1.1", "12.48.0.a.1", "20.12.0.a.1", "24.96.0-12.a.1.8", "40.24.0-20.a.1.1", "60.96.1.e.4", "84.96.1.?", "120.192.1.?", "168.192.1.?", "420.192.5.?", "840.384.5.?"], "abc_quality": 1.0136164980344768, "szpiro_ratio": 4.898133747500267} {"Clabel": "6720bw1", "lmfdb_label": "6720.bi7", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "4.1192191017033014555406687638", "prec": 100}, "ainvs": [0, 1, 0, -31841, -2196705], "jinv": [13619385906841, 6048000], "min_quad_twist_ainvs": [1, 0, 1, -498, 4228], "iso_nlabel": 34, "Cnumber": 1, "lmfdb_number": 7, "cm": 0, "num_bad_primes": 4, "optimality": 1, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 0, "faltings_ratio": 1, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 3, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 18432, "semistable": false, "potential_good_reduction": false, "absD": 1585446912000, "faltings_height": {"__RealLiteral__": 0, "data": "1.2995324522563664896877496472", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.25981168141644852556190146501", "prec": 103}, "elladic_images": ["8.12.0.12", "3.4.0.1"], "modell_images": ["2B", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.c.1", "6.12.0.a.1", "8.12.0-4.c.1.2", "12.24.0.g.1", "24.96.0-24.bt.1.11", "40.24.0-40.ba.1.9", "60.48.0.c.2", "84.48.0.?", "120.192.1.?", "168.192.1.?", "210.24.0.?", "420.96.1.?", "840.384.5.?"], "abc_quality": 0.9899732793274963, "szpiro_ratio": 4.84737586686705} {"Clabel": "6720bw5", "lmfdb_label": "6720.bi8", "Ciso": "6720bw", "lmfdb_iso": "6720.bi", "regulator": {"__RealLiteral__": 0, "data": "1.0298047754258253638851671909", "prec": 100}, "ainvs": [0, 1, 0, 123039, -10504161], "jinv": [785793873833639, 637994920500], "min_quad_twist_ainvs": [1, 0, 1, 1922, 20756], "iso_nlabel": 34, "Cnumber": 5, "lmfdb_number": 8, "cm": 0, "num_bad_primes": 4, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": -8, "faltings_index": 4, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6720, "nonmax_rad": 6, "num_int_pts": 9, "sha": 1, "bad_primes": [2, 3, 5, 7], "degree": 73728, "semistable": false, "potential_good_reduction": false, "absD": 167246540439552000, "faltings_height": {"__RealLiteral__": 0, "data": "1.9926796328163117991049817687", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.95295886197639383497913358651", "prec": 103}, "elladic_images": ["8.12.0.7", "3.4.0.1"], "modell_images": ["2B", "3B"], "adelic_level": 840, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.c.1", "6.12.0.a.1", "8.12.0-4.c.1.3", "12.48.0.c.1", "20.12.0.h.1", "24.96.0-12.c.1.21", "40.24.0-20.h.1.1", "60.96.1.m.4", "120.192.1.?", "168.192.1.?", "840.384.5.?"], "abc_quality": 1.0347196629545203, "szpiro_ratio": 5.3075225073351175}