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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
31824.a1 31824i2 31824.a 31824i $[0, 0, 0, -2547, 49410]$ $2$ $[2]$
31824.a2 31824i1 31824.a 31824i $[0, 0, 0, -207, 270]$ $2$ $[2]$
31824.b1 31824ba2 31824.b 31824ba $[0, 0, 0, -1687347, 843635250]$ $1$ $[2]$
31824.b2 31824ba1 31824.b 31824ba $[0, 0, 0, -105507, 13169250]$ $1$ $[2]$
31824.c1 31824bh2 31824.c 31824bh $[0, 0, 0, -270073587, 1706915918770]$ $0$ $[2]$
31824.c2 31824bh1 31824.c 31824bh $[0, 0, 0, -20872947, 13099168690]$ $0$ $[2]$
31824.d1 31824bg1 31824.d 31824bg $[0, 0, 0, -13491, 583794]$ $2$ $[2]$
31824.d2 31824bg2 31824.d 31824bg $[0, 0, 0, 5229, 2077650]$ $2$ $[2]$
31824.e1 31824w1 31824.e 31824w $[0, 0, 0, -8571, 305386]$ $1$ $[2]$
31824.e2 31824w2 31824.e 31824w $[0, 0, 0, -7851, 358810]$ $1$ $[2]$
31824.f1 31824g1 31824.f 31824g $[0, 0, 0, -12711, -493594]$ $0$ $[2]$
31824.f2 31824g2 31824.f 31824g $[0, 0, 0, 17709, -2495230]$ $0$ $[2]$
31824.g1 31824v1 31824.g 31824v $[0, 0, 0, -7851, -258086]$ $1$ $[2]$
31824.g2 31824v2 31824.g 31824v $[0, 0, 0, 3669, -951590]$ $1$ $[2]$
31824.h1 31824l2 31824.h 31824l $[0, 0, 0, -19731, 231410]$ $1$ $[2]$
31824.h2 31824l1 31824.h 31824l $[0, 0, 0, -15051, 709706]$ $1$ $[2]$
31824.i1 31824o4 31824.i 31824o $[0, 0, 0, -3771, -84294]$ $1$ $[2]$
31824.i2 31824o2 31824.i 31824o $[0, 0, 0, -711, 5670]$ $1$ $[2, 2]$
31824.i3 31824o1 31824.i 31824o $[0, 0, 0, -666, 6615]$ $1$ $[2]$
31824.i4 31824o3 31824.i 31824o $[0, 0, 0, 1629, 35154]$ $1$ $[2]$
31824.j1 31824p2 31824.j 31824p $[0, 0, 0, -471, 934]$ $1$ $[2]$
31824.j2 31824p1 31824.j 31824p $[0, 0, 0, 114, 115]$ $1$ $[2]$
31824.k1 31824q4 31824.k 31824q $[0, 0, 0, -264891, -52473926]$ $1$ $[2]$
31824.k2 31824q2 31824.k 31824q $[0, 0, 0, -17031, -770330]$ $1$ $[2, 2]$
31824.k3 31824q1 31824.k 31824q $[0, 0, 0, -4026, 85399]$ $1$ $[2]$
31824.k4 31824q3 31824.k 31824q $[0, 0, 0, 22749, -3833390]$ $1$ $[2]$
31824.l1 31824x2 31824.l 31824x $[0, 0, 0, -22071, 1262050]$ $1$ $[2]$
31824.l2 31824x1 31824.l 31824x $[0, 0, 0, -1416, 18619]$ $1$ $[2]$
31824.m1 31824e2 31824.m 31824e $[0, 0, 0, -2955, 57418]$ $2$ $[2]$
31824.m2 31824e1 31824.m 31824e $[0, 0, 0, -615, -4826]$ $2$ $[2]$
31824.n1 31824bb1 31824.n 31824bb $[0, 0, 0, -2751915, -1698391334]$ $0$ $[2]$
31824.n2 31824bb2 31824.n 31824bb $[0, 0, 0, 1141845, -6119366438]$ $0$ $[2]$
31824.o1 31824d2 31824.o 31824d $[0, 0, 0, -13935, 286094]$ $0$ $[2]$
31824.o2 31824d1 31824.o 31824d $[0, 0, 0, -7050, -224773]$ $0$ $[2]$
31824.p1 31824b2 31824.p 31824b $[0, 0, 0, -1196355, -500116718]$ $0$ $[2]$
31824.p2 31824b1 31824.p 31824b $[0, 0, 0, -1194015, -502183874]$ $0$ $[2]$
31824.q1 31824c2 31824.q 31824c $[0, 0, 0, -756435, 129974114]$ $0$ $[2]$
31824.q2 31824c1 31824.q 31824c $[0, 0, 0, -360975, -82071538]$ $0$ $[2]$
31824.r1 31824j1 31824.r 31824j $[0, 0, 0, -128595, 17687842]$ $1$ $[2]$
31824.r2 31824j2 31824.r 31824j $[0, 0, 0, -67755, 34467514]$ $1$ $[2]$
31824.s1 31824bl1 31824.s 31824bl $[0, 0, 0, -300, -1757]$ $1$ $[2]$
31824.s2 31824bl2 31824.s 31824bl $[0, 0, 0, 465, -9254]$ $1$ $[2]$
31824.t1 31824r2 31824.t 31824r $[0, 0, 0, -14115, 496226]$ $1$ $[2]$
31824.t2 31824r1 31824.t 31824r $[0, 0, 0, -4755, -119662]$ $1$ $[2]$
31824.u1 31824s2 31824.u 31824s $[0, 0, 0, -40395, 3123578]$ $1$ $[2]$
31824.u2 31824s1 31824.u 31824s $[0, 0, 0, -2955, 31034]$ $1$ $[2]$
31824.v1 31824t2 31824.v 31824t $[0, 0, 0, -2560035, 1576569634]$ $1$ $[2]$
31824.v2 31824t1 31824.v 31824t $[0, 0, 0, -163875, 23378722]$ $1$ $[2]$
31824.w1 31824bi2 31824.w 31824bi $[0, 0, 0, -41655, 3272258]$ $0$ $[2]$
31824.w2 31824bi1 31824.w 31824bi $[0, 0, 0, -2640, 49619]$ $0$ $[2]$
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