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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 $[0, 0, 0, -638508, -327059332]$ $0$ trivial
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 $[0, 0, 0, -75102348, 571386048172]$ $0$ trivial
85680.k1 85680do1 85680.k 85680do $[0, 0, 0, -48, 2032]$ $1$ trivial
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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