Cremona's table of elliptic curves

34440 = 2³ · 3 · 5 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
34440a (1 curve)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7- -1 -4 -4 -1
Curve Equation t Generators 34440a1 [0,-1,0,184,-84] 1 [1:10:1]
34440b (2 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  2  2  2  2
Curve Equation t Generators 34440b1 [0,-1,0,-193971,28442520] 2 [-41:6027:1] 34440b2 [0,-1,0,-834596,-265219980] 2 [1046:2268:1]
34440c (2 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  6 -6 -2 -2
Curve Equation t Generators 34440c1 [0,-1,0,-42771,3418920] 2 [-69:2457:1] 34440c2 [0,-1,0,-43716,3260916] 2 [-70:2444:1]
34440d (2 curves)	0	2+ 3+ 5- 7+ 41+	2+ 3+ 5- 7+ -6  2  6 -6
Curve Equation t 34440d1 [0,-1,0,-3155,64320] 2 34440d2 [0,-1,0,-49460,4250292] 2
34440e (4 curves)	1	2+ 3+ 5- 7+ 41-	2+ 3+ 5- 7+  0  2 -2  0
Curve Equation t Generators 34440e1 [0,-1,0,-1855,30772] 2 [-21:245:1] 34440e2 [0,-1,0,-4060,-53900] 4 [-35:210:1] 34440e3 [0,-1,0,13160,-405188] 2 [129:1850:1] 34440e4 [0,-1,0,-56560,-5156900] 2 [-135:10:1]
34440f (4 curves)	1	2+ 3+ 5- 7+ 41-	2+ 3+ 5- 7+  0  2 -6  0
Curve Equation t Generators 34440f1 [0,-1,0,-953135,358480092] 4 [7293:296585:27] 34440f2 [0,-1,0,-953260,358381492] 4 [-102:21320:1] 34440f3 [0,-1,0,-785160,488625372] 2 [-406:183885:8] 34440f4 [0,-1,0,-1123360,221825212] 2 [1693890:56358887:1000]
34440g (4 curves)	1	2+ 3+ 5- 7+ 41-	2+ 3+ 5- 7+  4  2  2  4
Curve Equation t Generators 34440g1 [0,-1,0,-2135,31500] 4 [2980:11245:64] 34440g2 [0,-1,0,-10540,-385388] 4 [-51:130:1] 34440g3 [0,-1,0,9960,-1721988] 2 [769:21450:1] 34440g4 [0,-1,0,-165520,-25864100] 2 [6570:158275:8]
34440h (2 curves)	1	2+ 3+ 5- 7- 41+	2+ 3+ 5- 7-  4  2  0  0
Curve Equation t Generators 34440h1 [0,-1,0,-1660,-25388] 2 [78:560:1] 34440h2 [0,-1,0,-840,-51300] 2 [66:420:1]
34440i (4 curves)	0	2+ 3+ 5- 7- 41-	2+ 3+ 5- 7-  0 -2  2 -8
Curve Equation t 34440i1 [0,-1,0,-1415,5580] 4 34440i2 [0,-1,0,-13420,-589868] 4 34440i3 [0,-1,0,-4600,-1362500] 4 34440i4 [0,-1,0,-214320,-38117988] 2
34440j (1 curve)	2	2+ 3- 5+ 7+ 41+	2+ 3- 5+ 7+ -3 -4 -3 -2
Curve Equation t Generators 34440j1 [0,1,0,-2121,37755] 1 [27:30:1]&[39:126:1]
34440k (2 curves)	1	2+ 3- 5+ 7+ 41-	2+ 3- 5+ 7+  2 -6  2  2
Curve Equation t Generators 34440k1 [0,1,0,-131,210] 2 [-11:21:1] 34440k2 [0,1,0,-1076,-13776] 2 [-20:12:1]
34440l (2 curves)	1	2+ 3- 5+ 7+ 41-	2+ 3- 5+ 7+ -2 -6 -2  6
Curve Equation t Generators 34440l1 [0,1,0,-5171,141330] 2 [37:45:1] 34440l2 [0,1,0,-6196,80240] 2 [-4:324:1]
34440m (4 curves)	0	2+ 3- 5- 7+ 41-	2+ 3- 5- 7+  4  2 -2  4
Curve Equation t 34440m1 [0,1,0,-7175,227070] 4 34440m2 [0,1,0,-15580,-415072] 4 34440m3 [0,1,0,50840,-2965600] 2 34440m4 [0,1,0,-216480,-38827152] 2
34440n (2 curves)	0	2+ 3- 5- 7- 41+	2+ 3- 5- 7- -6  2  2  2
Curve Equation t 34440n1 [0,1,0,-75,-270] 2 34440n2 [0,1,0,-180,528] 2
34440o (4 curves)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7-  4 -6 -6  4
Curve Equation t Generators 34440o1 [0,1,0,-351575,80119998] 2 [9282:1540:27] 34440o2 [0,1,0,-351580,80117600] 4 [260:2520:1] 34440o3 [0,1,0,-331080,89892000] 4 [-660:4620:1] 34440o4 [0,1,0,-372160,70189808] 2 [1156:-34440:1]
34440p (1 curve)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  0  0  6 -5
Curve Equation t Generators 34440p1 [0,-1,0,-161,885] 1 [11:18:1]
34440q (4 curves)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  4  2 -2 -8
Curve Equation t Generators 34440q1 [0,-1,0,-633351,-1574685504] 2 [143473:54343419:1] 34440q2 [0,-1,0,-24548196,-46553725980] 4 [-2692:3770:1] 34440q3 [0,-1,0,-39551016,17100238716] 2 [13589342:209258200:2197] 34440q4 [0,-1,0,-392182896,-2989248918660] 2 [-278883314:3638492:24389]
34440r (2 curves)	1	2- 3+ 5- 7+ 41+	2- 3+ 5- 7+  2 -2  2  2
Curve Equation t Generators 34440r1 [0,-1,0,-3834955,-2880822500] 2 [2617965240721498125:-217154303524874102725:351492237222517] 34440r2 [0,-1,0,-5557980,-33006780] 2 [-4405336:121244414:2197]
34440s (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  0  6  8  4
Curve Equation t 34440s1 [0,-1,0,-260,1380] 2 34440s2 [0,-1,0,560,7612] 2
34440t (4 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  4  2 -2 -4
Curve Equation t 34440t1 [0,-1,0,1420,42372] 2 34440t2 [0,-1,0,-13160,503100] 4 34440t3 [0,-1,0,-57440,-4792788] 2 34440t4 [0,-1,0,-202160,35052300] 2
34440u (2 curves)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+  6  2 -2 -2
Curve Equation t 34440u1 [0,1,0,-411,2814] 2 34440u2 [0,1,0,-1436,-18096] 2
34440v (4 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  0  2 -2  4
Curve Equation t 34440v1 [0,1,0,-3956,-24960] 2 34440v2 [0,1,0,-37576,2772224] 4 34440v3 [0,1,0,-12976,6373664] 2 34440v4 [0,1,0,-600096,178728480] 2
34440w (4 curves)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+ -4 -6  6 -4
Curve Equation t 34440w1 [0,1,0,140,-640] 2 34440w2 [0,1,0,-840,-6912] 4 34440w3 [0,1,0,-5040,130848] 2 34440w4 [0,1,0,-12320,-530400] 2
34440x (4 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  0  2  6 -8
Curve Equation t Generators 34440x1 [0,1,0,-3460175,2476241250] 2 [1075:75:1] 34440x2 [0,1,0,-3472180,2458180928] 4 [-1474:66150:1] 34440x3 [0,1,0,-409680,6645230928] 4 [-1224:72900:1] 34440x4 [0,1,0,-6726760,-2884537600] 2 [-1720:60000:1]
34440y (1 curve)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -1  0  3 -6
Curve Equation t Generators 34440y1 [0,1,0,12735,-4574637] 1 [981:30870:1]
34440z (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7-  2 -6  6 -6
Curve Equation t Generators 34440z1 [0,1,0,-75,150] 2 [-1:15:1] 34440z2 [0,1,0,-1100,13680] 2 [-2:126:1]
34440ba (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -6 -2 -2  2
Curve Equation t Generators 34440ba1 [0,1,0,-2275,8750] 2 [-25:225:1] 34440ba2 [0,1,0,-27900,1782000] 2 [90:-90:1]
34440bb (1 curve)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -3  4  4  5
Curve Equation t 34440bb1 [0,1,0,-79840,-8821600] 1
34440bc (4 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  4  2  6 -4
Curve Equation t 34440bc1 [0,1,0,-295,1850] 2 34440bc2 [0,1,0,-420,0] 4 34440bc3 [0,1,0,1680,1680] 2 34440bc4 [0,1,0,-4520,-118080] 2

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