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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
27.a3 27a1 27.a 27a $[0, 0, 1, 0, -7]$ $0$ $[3]$
27.a4 27a3 27.a 27a $[0, 0, 1, 0, 0]$ $0$ $[3]$
36.a3 36a3 36.a 36a $[0, 0, 0, 0, -27]$ $0$ $[2]$
36.a4 36a1 36.a 36a $[0, 0, 0, 0, 1]$ $0$ $[6]$
108.a1 108a2 108.a 108a $[0, 0, 0, 0, -108]$ $0$ trivial
108.a2 108a1 108.a 108a $[0, 0, 0, 0, 4]$ $0$ $[3]$
144.a3 144a1 144.a 144a $[0, 0, 0, 0, -1]$ $0$ $[2]$
144.a4 144a3 144.a 144a $[0, 0, 0, 0, 27]$ $0$ $[2]$
225.c1 225a2 225.c 225a $[0, 0, 1, 0, -34]$ $1$ trivial
225.c2 225a1 225.c 225a $[0, 0, 1, 0, 1]$ $1$ trivial
225.d1 225b2 225.d 225b $[0, 0, 1, 0, -4219]$ $0$ trivial
225.d2 225b1 225.d 225b $[0, 0, 1, 0, 156]$ $0$ $[3]$
243.a1 243a1 243.a 243a $[0, 0, 1, 0, -1]$ $1$ trivial
243.a2 243a2 243.a 243a $[0, 0, 1, 0, 20]$ $1$ $[3]$
243.b1 243b2 243.b 243b $[0, 0, 1, 0, -61]$ $0$ trivial
243.b2 243b1 243.b 243b $[0, 0, 1, 0, 2]$ $0$ $[3]$
432.d1 432b1 432.d 432b $[0, 0, 0, 0, -4]$ $1$ trivial
432.d2 432b2 432.d 432b $[0, 0, 0, 0, 108]$ $1$ trivial
432.e3 432a1 432.e 432a $[0, 0, 0, 0, -16]$ $0$ trivial
432.e4 432a3 432.e 432a $[0, 0, 0, 0, 432]$ $0$ trivial
441.d1 441b2 441.d 441b $[0, 0, 1, 0, -331]$ $1$ trivial
441.d2 441b1 441.d 441b $[0, 0, 1, 0, 12]$ $1$ $[3]$
441.e1 441a1 441.e 441a $[0, 0, 1, 0, -4202]$ $0$ trivial
441.e2 441a2 441.e 441a $[0, 0, 1, 0, 113447]$ $0$ trivial
576.e3 576a3 576.e 576a $[0, 0, 0, 0, -216]$ $1$ $[2]$
576.e4 576a1 576.e 576a $[0, 0, 0, 0, 8]$ $1$ $[2]$
576.f3 576e1 576.f 576e $[0, 0, 0, 0, -8]$ $0$ $[2]$
576.f4 576e3 576.f 576e $[0, 0, 0, 0, 216]$ $0$ $[2]$
675.d1 675c2 675.d 675c $[0, 0, 1, 0, -169]$ $0$ trivial
675.d2 675c1 675.d 675c $[0, 0, 1, 0, 6]$ $0$ $[3]$
675.e3 675a2 675.e 675a $[0, 0, 1, 0, -844]$ $1$ trivial
675.e4 675a1 675.e 675a $[0, 0, 1, 0, 31]$ $1$ trivial
675.f1 675e2 675.f 675e $[0, 0, 1, 0, -21094]$ $0$ trivial
675.f2 675e1 675.f 675e $[0, 0, 1, 0, 781]$ $0$ trivial
900.d1 900c2 900.d 900c $[0, 0, 0, 0, -2700]$ $1$ trivial
900.d2 900c1 900.d 900c $[0, 0, 0, 0, 100]$ $1$ $[3]$
900.f1 900a2 900.f 900a $[0, 0, 0, 0, -337500]$ $0$ trivial
900.f2 900a1 900.f 900a $[0, 0, 0, 0, 12500]$ $0$ trivial
900.g3 900b3 900.g 900b $[0, 0, 0, 0, -3375]$ $0$ $[2]$
900.g4 900b1 900.g 900b $[0, 0, 0, 0, 125]$ $0$ $[2]$
972.a1 972d2 972.a 972d $[0, 0, 0, 0, -972]$ $1$ trivial
972.a2 972d1 972.a 972d $[0, 0, 0, 0, 36]$ $1$ $[3]$
972.b1 972c2 972.b 972c $[0, 0, 0, 0, -243]$ $1$ trivial
972.b2 972c1 972.b 972c $[0, 0, 0, 0, 9]$ $1$ $[3]$
972.c1 972a1 972.c 972a $[0, 0, 0, 0, -12]$ $0$ trivial
972.c2 972a2 972.c 972a $[0, 0, 0, 0, 324]$ $0$ $[3]$
972.d1 972b1 972.d 972b $[0, 0, 0, 0, -3]$ $0$ trivial
972.d2 972b2 972.d 972b $[0, 0, 0, 0, 81]$ $0$ $[3]$
1089.e1 1089b1 1089.e 1089b $[0, 0, 1, 0, -40263]$ $0$ trivial
1089.e2 1089b2 1089.e 1089b $[0, 0, 1, 0, 1087094]$ $0$ trivial
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