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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass Coefficients Rank Torsion structure
85680.a1 85680dw2 85680.a 85680dw [0, 0, 0, -7782843, 7968257642] 1 [2]
85680.a2 85680dw1 85680.a 85680dw [0, 0, 0, 317157, 495197642] 1 [2]
85680.b1 85680cr4 85680.b 85680cr [0, 0, 0, -986823, 374160978] 1 [2]
85680.b2 85680cr3 85680.b 85680cr [0, 0, 0, -984528, 376002027] 1 [2]
85680.b3 85680cr2 85680.b 85680cr [0, 0, 0, -87183, -9612118] 1 [2]
85680.b4 85680cr1 85680.b 85680cr [0, 0, 0, -13488, 395663] 1 [2]
85680.c1 85680du4 85680.c 85680du [0, 0, 0, -4650483, 3858992818] 1 [2]
85680.c2 85680du2 85680.c 85680du [0, 0, 0, -330483, 42704818] 1 [2, 2]
85680.c3 85680du1 85680.c 85680du [0, 0, 0, -146163, -21033038] 1 [2]
85680.c4 85680du3 85680.c 85680du [0, 0, 0, 1040397, 305639602] 1 [2]
85680.d1 85680dt1 85680.d 85680dt [0, 0, 0, -119388, 9920563] 1 [2]
85680.d2 85680dt2 85680.d 85680dt [0, 0, 0, 358737, 69494938] 1 [2]
85680.e1 85680q6 85680.e 85680q [0, 0, 0, -3884403, -2946690542] 0 [2]
85680.e2 85680q4 85680.e 85680q [0, 0, 0, -252003, 48561298] 0 [2]
85680.e3 85680q3 85680.e 85680q [0, 0, 0, -243003, -45951302] 0 [2, 2]
85680.e4 85680q5 85680.e 85680q [0, 0, 0, -129603, -88975262] 0 [2]
85680.e5 85680q2 85680.e 85680q [0, 0, 0, -22503, 44998] 0 [2, 2]
85680.e6 85680q1 85680.e 85680q [0, 0, 0, 5622, 5623] 0 [2]
85680.f1 85680dr4 85680.f 85680dr [0, 0, 0, -812191323, 8909136883978] 1 [2]
85680.f2 85680dr2 85680.f 85680dr [0, 0, 0, -50765403, 139185422602] 1 [2, 2]
85680.f3 85680dr3 85680.f 85680dr [0, 0, 0, -44314203, 175863075082] 1 [2]
85680.f4 85680dr1 85680.f 85680dr [0, 0, 0, -3579483, 1581842698] 1 [2]
85680.g1 85680ds6 85680.g 85680ds [0, 0, 0, -10330563, -12755312638] 1 [2]
85680.g2 85680ds4 85680.g 85680ds [0, 0, 0, -880563, -41282638] 1 [2, 2]
85680.g3 85680ds2 85680.g 85680ds [0, 0, 0, -563043, 161866658] 1 [2, 2]
85680.g4 85680ds1 85680.g 85680ds [0, 0, 0, -562323, 162303122] 1 [2]
85680.g5 85680ds3 85680.g 85680ds [0, 0, 0, -257043, 337082258] 1 [2]
85680.g6 85680ds5 85680.g 85680ds [0, 0, 0, 3489117, -328807582] 1 [2]
85680.h1 85680o1 85680.h 85680o [0, 0, 0, -638508, -327059332] 0 []
85680.i1 85680ea1 85680.i 85680ea [0, 0, 0, -147468, 21272267] 0 [2]
85680.i2 85680ea2 85680.i 85680ea [0, 0, 0, 31137, 69531338] 0 [2]
85680.j1 85680l1 85680.j 85680l [0, 0, 0, -75102348, 571386048172] 0 []
85680.k1 85680do1 85680.k 85680do [0, 0, 0, -48, 2032] 1 []
85680.l1 85680k2 85680.l 85680k [0, 0, 0, -62985243, 192400558058] 0 [2]
85680.l2 85680k1 85680.l 85680k [0, 0, 0, -3936243, 3006795458] 0 [2]
85680.m1 85680m2 85680.m 85680m [0, 0, 0, -2352423, 1188289622] 0 [2]
85680.m2 85680m1 85680.m 85680m [0, 0, 0, -2256798, 1304894747] 0 [2]
85680.n1 85680n2 85680.n 85680n [0, 0, 0, -74703, -7502402] 0 [2]
85680.n2 85680n1 85680.n 85680n [0, 0, 0, -73758, -7710113] 0 [2]
85680.o1 85680dk4 85680.o 85680dk [0, 0, 0, -27165963, -46367463238] 1 [2]
85680.o2 85680dk2 85680.o 85680dk [0, 0, 0, -7570443, 7320342458] 1 [2, 2]
85680.o3 85680dk1 85680.o 85680dk [0, 0, 0, -7386123, 7726251962] 1 [2]
85680.o4 85680dk3 85680.o 85680dk [0, 0, 0, 9075957, 35029939898] 1 [2]
85680.p1 85680b2 85680.p 85680b [0, 0, 0, -363, 1962] 2 [2]
85680.p2 85680b1 85680.p 85680b [0, 0, 0, 57, 198] 2 [2]
85680.q1 85680dy4 85680.q 85680dy [0, 0, 0, -42130443, 99361032122] 0 [2]
85680.q2 85680dy2 85680.q 85680dy [0, 0, 0, -41471643, 102795706442] 0 [2]
85680.q3 85680dy1 85680.q 85680dy [0, 0, 0, -2591643, 1606618442] 0 [2]
85680.q4 85680dy3 85680.q 85680dy [0, 0, 0, 2106357, 6525683642] 0 [2]
85680.r1 85680dz3 85680.r 85680dz [0, 0, 0, -70608, -7172737] 0 [2]
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