Cremona's table of elliptic curves

53100 = 2² · 3² · 5² · 59

Class	r	Atkin-Lehner	Eigenvalues
53100a (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  1 -2 -1 -7 -6
Curve Equation t 53100a1 [0,0,0,-257175,153366750] 1
53100b (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  1  6  1 -3  2
Curve Equation t 53100b1 [0,0,0,-59175,5540750] 1 53100b2 [0,0,0,-14175,13695750] 1
53100c (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  2 -5  1 -3  1
Curve Equation t 53100c1 [0,0,0,-10800,364500] 1
53100d (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  1  2 -1  7 -6
Curve Equation t Generators 53100d1 [0,0,0,-28575,-5680250] 1 [4295:281250:1]
53100e (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  1 -6  1  3  2
Curve Equation t Generators 53100e1 [0,0,0,-1575,-507250] 1 [430:8850:1] 53100e2 [0,0,0,-532575,-149600250] 1 [870:6750:1]
53100f (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  2  5  1  3  1
Curve Equation t Generators 53100f1 [0,0,0,-1200,-13500] 1 [-20:50:1]
53100g (2 curves)	1	2- 3- 5+ 59+	2- 3- 5+  0  0  4 -6  0
Curve Equation t Generators 53100g1 [0,0,0,3300,16625] 2 [10:225:1] 53100g2 [0,0,0,-13575,134750] 2 [-5:450:1]
53100h (2 curves)	1	2- 3- 5+ 59+	2- 3- 5+ -2 -3 -5 -3  5
Curve Equation t Generators 53100h1 [0,0,0,-100345800,295851030500] 1 [-10280:490950:1] 53100h2 [0,0,0,-7584259800,254224794984500] 1 [-52998502655:28843585713675:1295029]
53100i (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  3  2  0  2 -5
Curve Equation t Generators 53100i1 [0,0,0,-300,-5375] 1 [126:1399:1]
53100j (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0  0  4  2  0
Curve Equation t 53100j1 [0,0,0,-815700,288759625] 2 53100j2 [0,0,0,-13117575,18286402750] 2
53100k (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0  4 -6 -2  4
Curve Equation t 53100k1 [0,0,0,2400,-126875] 2 53100k2 [0,0,0,-27975,-1615250] 2
53100l (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  0  5 -1 -3  5
Curve Equation t 53100l1 [0,0,0,-397200,-96351500] 1
53100m (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  1 -6  4 -6  5
Curve Equation t 53100m1 [0,0,0,-2100,-37375] 1 53100m2 [0,0,0,6900,-194875] 1
53100n (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -1  0 -1  7  4
Curve Equation t 53100n1 [0,0,0,825,76750] 1
53100o (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  2  0 -4  0  0
Curve Equation t 53100o1 [0,0,0,-255,-2090] 1
53100p (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  2  0 -4 -8 -8
Curve Equation t 53100p1 [0,0,0,-166299375,825437443750] 1
53100q (1 curve)	2	2- 3- 5+ 59-	2- 3- 5+ -2 -1 -1 -5 -3
Curve Equation t Generators 53100q1 [0,0,0,-28200,1406500] 1 [-160:1350:1]&[-120:1750:1]
53100r (2 curves)	2	2- 3- 5+ 59-	2- 3- 5+ -2 -4 -4 -2  0
Curve Equation t Generators 53100r1 [0,0,0,-13800,453625] 2 [390:-7375:1]&[14:513:1] 53100r2 [0,0,0,-80175,-8374250] 2 [-189:166:1]&[-145:450:1]
53100s (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  3 -4 -7  3 -4
Curve Equation t 53100s1 [0,0,0,-71175,-12739250] 1
53100t (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -3  0  1  2 -3
Curve Equation t 53100t1 [0,0,0,-165000,-26637500] 1
53100u (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  4 -3  1  3  5
Curve Equation t 53100u1 [0,0,0,-112800,-13169500] 1 53100u2 [0,0,0,-2056800,1133304500] 1
53100v (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  0 -3  7 -3  1
Curve Equation t 53100v1 [0,0,0,-156000,23712500] 1
53100w (1 curve)	2	2- 3- 5- 59+	2- 3- 5-  0 -3 -7  3  1
Curve Equation t Generators 53100w1 [0,0,0,-6240,189700] 1 [-91:63:1]&[20:-270:1]
53100x (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  0 -1  5 -3  1
Curve Equation t Generators 53100x1 [0,0,0,-402960,98455700] 1 [2930:45:8]
53100y (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  0 -1 -5  3  1
Curve Equation t Generators 53100y1 [0,0,0,-10074000,12306962500] 1 [2600:60750:1]
53100z (2 curves)	1	2- 3- 5- 59-	2- 3- 5-  0 -4  2  0  4
Curve Equation t Generators 53100z1 [0,0,0,-25500,-896875] 2 [-137110:147913:1000] 53100z2 [0,0,0,-357375,-82206250] 2 [-4255717370:573407471:12167000]
53100ba (2 curves)	1	2- 3- 5- 59-	2- 3- 5-  0 -4 -2  0  4
Curve Equation t Generators 53100ba1 [0,0,0,-1020,-7175] 2 [-24:59:1] 53100ba2 [0,0,0,-14295,-657650] 2 [-69:14:1]
53100bb (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -2  0  4  0  0
Curve Equation t Generators 53100bb1 [0,0,0,-6375,-261250] 1 [106:504:1]
53100bc (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -2  0  4  8 -8
Curve Equation t Generators 53100bc1 [0,0,0,-6651975,6603499550] 1 [1471:1206:1]
53100bd (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  3  0 -1 -2 -3
Curve Equation t Generators 53100bd1 [0,0,0,-6600,-213100] 1 [205:2655:1]
53100be (2 curves)	1	2- 3- 5- 59-	2- 3- 5-  4  4 -4 -4  0
Curve Equation t Generators 53100be1 [0,0,0,-833520,288750125] 2 [85254:995743:216] 53100be2 [0,0,0,-50295,809594750] 2 [173759082:-8637501529:74088]
53100bf (2 curves)	1	2- 3- 5- 59-	2- 3- 5- -4  4  4  4  0
Curve Equation t Generators 53100bf1 [0,0,0,-20838000,36093765625] 2 [2316:15989:1] 53100bf2 [0,0,0,-1257375,101199343750] 2 [68691:-18003614:1]

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