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Curve Isogeny class
LMFDB label Cremona label LMFDB label Cremona label Weierstrass coefficients Rank Torsion structure
840.a1 840a3 840.a 840a $[0, -1, 0, -1736, 26796]$ $1$ $[2]$
840.a2 840a2 840.a 840a $[0, -1, 0, -336, -1764]$ $1$ $[2, 2]$
840.a3 840a1 840.a 840a $[0, -1, 0, -316, -2060]$ $1$ $[2]$
840.a4 840a4 840.a 840a $[0, -1, 0, 744, -11700]$ $1$ $[2]$
840.b1 840e4 840.b 840e $[0, -1, 0, -456, 3900]$ $1$ $[2]$
840.b2 840e3 840.b 840e $[0, -1, 0, -336, -2244]$ $1$ $[2]$
840.b3 840e2 840.b 840e $[0, -1, 0, -36, 36]$ $1$ $[2, 2]$
840.b4 840e1 840.b 840e $[0, -1, 0, 9, 0]$ $1$ $[2]$
840.c1 840b3 840.c 840b $[0, -1, 0, -3736, -86660]$ $0$ $[2]$
840.c2 840b4 840.c 840b $[0, -1, 0, -656, 4956]$ $0$ $[2]$
840.c3 840b2 840.c 840b $[0, -1, 0, -236, -1260]$ $0$ $[2, 2]$
840.c4 840b1 840.c 840b $[0, -1, 0, 9, -84]$ $0$ $[4]$
840.d1 840f5 840.d 840f $[0, -1, 0, -10480, -409460]$ $1$ $[2]$
840.d2 840f3 840.d 840f $[0, -1, 0, -680, -5700]$ $1$ $[2, 2]$
840.d3 840f2 840.d 840f $[0, -1, 0, -180, 900]$ $1$ $[2, 4]$
840.d4 840f1 840.d 840f $[0, -1, 0, -175, 952]$ $1$ $[4]$
840.d5 840f4 840.d 840f $[0, -1, 0, 240, 4092]$ $1$ $[4]$
840.d6 840f6 840.d 840f $[0, -1, 0, 1120, -32340]$ $1$ $[2]$
840.e1 840c3 840.e 840c $[0, -1, 0, -2240, -40068]$ $0$ $[2]$
840.e2 840c2 840.e 840c $[0, -1, 0, -140, -588]$ $0$ $[2, 2]$
840.e3 840c4 840.e 840c $[0, -1, 0, -40, -1508]$ $0$ $[2]$
840.e4 840c1 840.e 840c $[0, -1, 0, -15, 12]$ $0$ $[4]$
840.f1 840g5 840.f 840g $[0, -1, 0, -24400, -1458548]$ $0$ $[2]$
840.f2 840g3 840.f 840g $[0, -1, 0, -1720, -16100]$ $0$ $[2, 2]$
840.f3 840g2 840.f 840g $[0, -1, 0, -740, 7812]$ $0$ $[2, 4]$
840.f4 840g1 840.f 840g $[0, -1, 0, -735, 7920]$ $0$ $[4]$
840.f5 840g4 840.f 840g $[0, -1, 0, 160, 24732]$ $0$ $[4]$
840.f6 840g6 840.f 840g $[0, -1, 0, 5280, -119700]$ $0$ $[2]$
840.g1 840h3 840.g 840h $[0, 1, 0, -2896, 59024]$ $1$ $[2]$
840.g2 840h2 840.g 840h $[0, 1, 0, -196, 704]$ $1$ $[2, 2]$
840.g3 840h1 840.g 840h $[0, 1, 0, -71, -246]$ $1$ $[2]$
840.g4 840h4 840.g 840h $[0, 1, 0, 504, 5184]$ $1$ $[2]$
840.h1 840d3 840.h 840d $[0, 1, 0, -202616, 34012320]$ $0$ $[4]$
840.h2 840d2 840.h 840d $[0, 1, 0, -31116, -1385280]$ $0$ $[2, 2]$
840.h3 840d1 840.h 840d $[0, 1, 0, -27991, -1811530]$ $0$ $[2]$
840.h4 840d4 840.h 840d $[0, 1, 0, 90384, -9452880]$ $0$ $[2]$
840.i1 840i3 840.i 840i $[0, 1, 0, -656, 6240]$ $0$ $[2]$
840.i2 840i2 840.i 840i $[0, 1, 0, -56, 0]$ $0$ $[2, 2]$
840.i3 840i1 840.i 840i $[0, 1, 0, -36, -96]$ $0$ $[2]$
840.i4 840i4 840.i 840i $[0, 1, 0, 224, 224]$ $0$ $[2]$
840.j1 840j4 840.j 840j $[0, 1, 0, -6720, 209808]$ $0$ $[4]$
840.j2 840j5 840.j 840j $[0, 1, 0, -6480, -202272]$ $0$ $[2]$
840.j3 840j3 840.j 840j $[0, 1, 0, -600, 0]$ $0$ $[2, 2]$
840.j4 840j2 840.j 840j $[0, 1, 0, -420, 3168]$ $0$ $[2, 4]$
840.j5 840j1 840.j 840j $[0, 1, 0, -15, 90]$ $0$ $[4]$
840.j6 840j6 840.j 840j $[0, 1, 0, 2400, 2400]$ $0$ $[2]$
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