Cremona's table of elliptic curves

9840 = 2⁴ · 3 · 5 · 41

Class	r	Atkin-Lehner	Eigenvalues
9840a (1 curve)	1	2+ 3+ 5+ 41+	2+ 3+ 5+  4 -3 -4  7  2
Curve Equation t Generators 9840a1 [0,-1,0,-81,381] 1 [-4:25:1]
9840b (2 curves)	1	2+ 3+ 5+ 41+	2+ 3+ 5+ -4  6  0 -4  6
Curve Equation t Generators 9840b1 [0,-1,0,-9796,376096] 2 [40:216:1] 9840b2 [0,-1,0,-7296,570096] 2 [53:574:1]
9840c (2 curves)	2	2+ 3+ 5+ 41-	2+ 3+ 5+ -2 -6 -2 -4 -2
Curve Equation t Generators 9840c1 [0,-1,0,-136,640] 2 [-10:30:1]&[-2:30:1] 9840c2 [0,-1,0,-336,-1440] 2 [-14:18:1]&[-6:18:1]
9840d (4 curves)	1	2+ 3+ 5- 41-	2+ 3+ 5-  0 -4  2 -2 -4
Curve Equation t Generators 9840d1 [0,-1,0,-615,-5670] 2 [17032:50105:512] 9840d2 [0,-1,0,-620,-5568] 4 [109:1100:1] 9840d3 [0,-1,0,-1520,15312] 4 [8:60:1] 9840d4 [0,-1,0,200,-20000] 2 [30:110:1]
9840e (2 curves)	1	2+ 3+ 5- 41-	2+ 3+ 5- -2  2  6  0  2
Curve Equation t Generators 9840e1 [0,-1,0,-1120,14800] 2 [22:18:1] 9840e2 [0,-1,0,-1320,9360] 2 [2:82:1]
9840f (4 curves)	1	2+ 3+ 5- 41-	2+ 3+ 5-  4  0 -2 -2 -8
Curve Equation t Generators 9840f1 [0,-1,0,-1140,-14400] 2 [60:360:1] 9840f2 [0,-1,0,-1640,0] 4 [-8:112:1] 9840f3 [0,-1,0,-17840,920160] 4 [746:1939:8] 9840f4 [0,-1,0,6560,-6560] 2 [197:2982:1]
9840g (2 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  4  2 -4 -8  2
Curve Equation t 9840g1 [0,1,0,-116,-516] 2 9840g2 [0,1,0,-16,-1276] 2
9840h (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5-  1 -2  4  4 -7
Curve Equation t Generators 9840h1 [0,1,0,-1000,12500] 1 [50:-300:1]
9840i (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -2 -4 -4  6  0
Curve Equation t Generators 9840i1 [0,1,0,-88000,10006148] 2 [416:-6750:1] 9840i2 [0,1,0,-63000,15836148] 2 [396:-7290:1]
9840j (4 curves)	0	2+ 3- 5- 41-	2+ 3- 5-  0  0  2  6 -8
Curve Equation t 9840j1 [0,1,0,-95,-312] 2 9840j2 [0,1,0,-500,3900] 4 9840j3 [0,1,0,-7880,266628] 4 9840j4 [0,1,0,400,17220] 2
9840k (2 curves)	0	2- 3+ 5+ 41+	2- 3+ 5+  1 -6 -4  0 -5
Curve Equation t 9840k1 [0,-1,0,1944,-944784] 1 9840k2 [0,-1,0,-17496,25524720] 1
9840l (4 curves)	0	2- 3+ 5+ 41+	2- 3+ 5+  4  6 -4  0 -2
Curve Equation t 9840l1 [0,-1,0,-8256,-230400] 2 9840l2 [0,-1,0,17344,-1397760] 2 9840l3 [0,-1,0,-204096,35536896] 2 9840l4 [0,-1,0,-164096,49840896] 2
9840m (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+  0  1 -4 -3  6
Curve Equation t Generators 9840m1 [0,-1,0,1259,14941] 1 [36:325:1]
9840n (4 curves)	1	2- 3+ 5+ 41-	2- 3+ 5+  0  4  2 -6  0
Curve Equation t Generators 9840n1 [0,-1,0,-136,-4880] 2 [1956:8723:64] 9840n2 [0,-1,0,-5256,-144144] 4 [125:1066:1] 9840n3 [0,-1,0,-83976,-9338640] 2 [509:8918:1] 9840n4 [0,-1,0,-8456,55536] 2 [130:1066:1]
9840o (2 curves)	1	2- 3+ 5+ 41-	2- 3+ 5+  2 -2  6  0  2
Curve Equation t Generators 9840o1 [0,-1,0,-843296,-285947904] 2 [12608:1411776:1] 9840o2 [0,-1,0,-13343296,-18755947904] 2 [87962647:9501965334:6859]
9840p (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+ -3 -2 -4  0 -3
Curve Equation t Generators 9840p1 [0,-1,0,-336,2496] 1 [8:16:1]
9840q (2 curves)	1	2- 3+ 5+ 41-	2- 3+ 5+ -4  4  0  0 -4
Curve Equation t Generators 9840q1 [0,-1,0,-1201,16420] 2 [4:108:1] 9840q2 [0,-1,0,-996,21996] 2 [41:220:1]
9840r (2 curves)	1	2- 3+ 5- 41+	2- 3+ 5- -1  2  0  4  1
Curve Equation t Generators 9840r1 [0,-1,0,36880,1022400] 1 [40:1600:1] 9840r2 [0,-1,0,-19232720,32470946880] 1 [2512:1768:1]
9840s (2 curves)	1	2- 3+ 5- 41+	2- 3+ 5-  2  0 -4 -6  4
Curve Equation t Generators 9840s1 [0,-1,0,-840,3312] 2 [-6:90:1] 9840s2 [0,-1,0,3160,22512] 2 [34:410:1]
9840t (4 curves)	1	2- 3+ 5- 41+	2- 3+ 5-  4 -6  2 -6 -2
Curve Equation t Generators 9840t1 [0,-1,0,-1465,19600] 2 [0:140:1] 9840t2 [0,-1,0,2180,98332] 2 [-11:270:1] 9840t3 [0,-1,0,-114865,15022420] 2 [425412:126140:2197] 9840t4 [0,-1,0,-114820,15034732] 2 [109:1950:1]
9840u (2 curves)	1	2- 3+ 5- 41+	2- 3+ 5- -4  2  6 -2 -2
Curve Equation t Generators 9840u1 [0,-1,0,-65,-180] 2 [644:585:64] 9840u2 [0,-1,0,-20,-468] 2 [29:150:1]
9840v (1 curve)	1	2- 3+ 5- 41+	2- 3+ 5- -4 -3 -4  3 -2
Curve Equation t Generators 9840v1 [0,-1,0,-1870805,985526697] 1 [1149:18750:1]
9840w (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  0 -2  0  0 -2
Curve Equation t Generators 9840w1 [0,1,0,-96,180] 2 [-6:24:1] 9840w2 [0,1,0,304,1620] 2 [4:54:1]
9840x (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+  2  2  2  4  6
Curve Equation t 9840x1 [0,1,0,-976,-7276] 2 9840x2 [0,1,0,-13776,-626796] 2
9840y (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+ -4  4  4 -4  4
Curve Equation t 9840y1 [0,1,0,-361,2510] 2 9840y2 [0,1,0,-156,5544] 2
9840z (8 curves)	1	2- 3- 5- 41-	2- 3- 5-  0 -4 -2  2  4
Curve Equation t Generators 9840z1 [0,1,0,-78240,-8441100] 2 [-165:60:1] 9840z2 [0,1,0,-98720,-3697932] 4 [-284:1230:1] 9840z3 [0,1,0,-898720,324942068] 8 [-934:18720:1] 9840z4 [0,1,0,373600,-28447500] 2 [100:3150:1] 9840z5 [0,1,0,-14346720,20911140468] 8 [1898:22848:1] 9840z6 [0,1,0,-250720,784503668] 4 [-844:19890:1] 9840z7 [0,1,0,-229547520,1338542598708] 4 [2250180:217947834:125] 9840z8 [0,1,0,-14313920,21011547828] 4 [51861:665686:27]
9840ba (2 curves)	1	2- 3- 5- 41-	2- 3- 5-  2 -2 -2 -4 -2
Curve Equation t Generators 9840ba1 [0,1,0,-2440,12788] 2 [-34:240:1] 9840ba2 [0,1,0,-22440,-1291212] 2 [-84:90:1]
9840bb (1 curve)	1	2- 3- 5- 41-	2- 3- 5- -3  2  4 -4 -5
Curve Equation t Generators 9840bb1 [0,1,0,0,-972] 1 [18:72:1]

Data from Elliptic Curve Data by J. E. Cremona.
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