Cremona's table of elliptic curves

21315 = 3 · 5 · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
21315a (1 curve)	0	3+ 5+ 7+ 29-	1 3+ 5+ 7+  3  0  7  0
Curve Equation t 21315a1 [1,1,0,-1593,-67878] 1
21315b (4 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7-  0  2  2 -8
Curve Equation t Generators 21315b1 [1,1,0,-65293,-6448952] 2 [54285588:-2321112298:29791] 21315b2 [1,1,0,-65538,-6398433] 4 [7262:614881:1] 21315b3 [1,1,0,-5513,-17599098] 2 [274:1110:1] 21315b4 [1,1,0,-129483,8040348] 2 [-3018:16209:8]
21315c (4 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7- -4 -6 -6  4
Curve Equation t Generators 21315c1 [1,1,0,-1348,-19613] 2 [42:-13:1] 21315c2 [1,1,0,-1593,-12312] 4 [104:928:1] 21315c3 [1,1,0,5512,-84783] 2 [766:8851:8] 21315c4 [1,1,0,-12618,532323] 2 [78:135:1]
21315d (1 curve)	1	3+ 5+ 7- 29-	1 3+ 5+ 7- -6 -4  8 -5
Curve Equation t Generators 21315d1 [1,1,0,-228,1233] 1 [8:-3:1]
21315e (2 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  0  0  4  4
Curve Equation t Generators 21315e1 [1,1,1,-2416436,-1444591492] 2 [143818544492:-29445579022807:3442951] 21315e2 [1,1,1,-1650811,-2375285242] 2 [6133719962:60604595184:3442951]
21315f (4 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  0 -6 -2 -8
Curve Equation t Generators 21315f1 [1,1,1,-1471,13964] 2 [6:70:1] 21315f2 [1,1,1,-21316,1188788] 4 [34:693:1] 21315f3 [1,1,1,-19111,1447214] 2 [14:1080:1] 21315f4 [1,1,1,-341041,76515998] 2 [337:-161:1]
21315g (1 curve)	1	3+ 5- 7+ 29-	-1 3+ 5- 7+ -2  4 -4 -1
Curve Equation t Generators 21315g1 [1,1,1,-50,-148] 1 [-4:4:1]
21315h (2 curves)	1	3+ 5- 7- 29+	0 3+ 5- 7-  3 -2  0 -2
Curve Equation t Generators 21315h1 [0,-1,1,-555,-4957] 1 [313:5512:1] 21315h2 [0,-1,1,2385,-22744] 1 [40:367:1]
21315i (4 curves)	2	3+ 5- 7- 29-	-1 3+ 5- 7- -4 -2 -6  4
Curve Equation t Generators 21315i1 [1,1,1,-1030,7202] 4 [-18:151:1]&[7:16:1] 21315i2 [1,1,1,-7155,-230448] 4 [-50:98:1]&[126:879:1] 21315i3 [1,1,1,1420,-738088] 2 [150:1621:1]&[195:2548:1] 21315i4 [1,1,1,-113730,-14809908] 2 [-195:98:1]&[861:22514:1]
21315j (2 curves)	0	3+ 5- 7- 29-	-1 3+ 5- 7- -4  6  6  0
Curve Equation t 21315j1 [1,1,1,-49785,-4294410] 2 21315j2 [1,1,1,-41210,-5810470] 2
21315k (1 curve)	0	3+ 5- 7- 29-	-1 3+ 5- 7-  5  4  3 -8
Curve Equation t 21315k1 [1,1,1,-1044485,-416239468] 1
21315l (1 curve)	0	3+ 5- 7- 29-	2 3+ 5- 7- -1  4  6  4
Curve Equation t 21315l1 [0,-1,1,-9708680,-22728828319] 1
21315m (1 curve)	1	3- 5+ 7+ 29-	-1 3- 5+ 7+  5 -4 -3  8
Curve Equation t Generators 21315m1 [1,0,0,-21316,1210481] 1 [83:80:1]
21315n (4 curves)	0	3- 5+ 7- 29-	1 3- 5+ 7-  0 -6  2  0
Curve Equation t 21315n1 [1,0,1,-288489,-38425313] 2 21315n2 [1,0,1,-1895934,976193971] 4 21315n3 [1,0,1,584691,3348663721] 2 21315n4 [1,0,1,-30095679,63545788177] 2
21315o (1 curve)	0	3- 5+ 7- 29-	-1 3- 5+ 7- -2 -4  4  1
Curve Equation t 21315o1 [1,0,0,-2451,43350] 1
21315p (8 curves)	0	3- 5+ 7- 29-	-1 3- 5+ 7-  4  2 -2  4
Curve Equation t 21315p1 [1,0,0,-388571,-93261960] 2 21315p2 [1,0,0,-388816,-93138529] 4 21315p3 [1,0,0,-239611,-165383590] 2 21315p4 [1,0,0,-541941,-12992904] 4 21315p5 [1,0,0,2159184,-103210479] 2 21315p6 [1,0,0,-5693066,5207157171] 4 21315p7 [1,0,0,-2815541,10468999386] 2 21315p8 [1,0,0,-90988591,334055524256] 2
21315q (2 curves)	2	3- 5+ 7- 29-	-1 3- 5+ 7- -4 -6 -6  0
Curve Equation t Generators 21315q1 [1,0,0,-1016,12375] 2 [-27:156:1]&[-17:166:1] 21315q2 [1,0,0,-841,16820] 2 [-29:145:1]&[11:89:1]
21315r (1 curve)	0	3- 5- 7+ 29-	1 3- 5- 7+ -6  4 -8  5
Curve Equation t 21315r1 [1,0,1,-11198,-456487] 1
21315s (1 curve)	0	3- 5- 7- 29+	2 3- 5- 7- -3 -4 -6  0
Curve Equation t 21315s1 [0,1,1,-1780,-197879] 1
21315t (1 curve)	0	3- 5- 7- 29+	2 3- 5- 7-  5  4 -6  8
Curve Equation t 21315t1 [0,1,1,-8150,286829] 1
21315u (1 curve)	1	3- 5- 7- 29-	0 3- 5- 7-  1 -6 -4  2
Curve Equation t Generators 21315u1 [0,1,1,3855,377381] 1 [135:1837:1]
21315v (1 curve)	1	3- 5- 7- 29-	1 3- 5- 7-  3  0 -7  0
Curve Equation t Generators 21315v1 [1,0,1,-33,193] 1 [-1:15:1]
21315w (2 curves)	1	3- 5- 7- 29-	-1 3- 5- 7-  0 -4  8  4
Curve Equation t Generators 21315w1 [1,0,0,-540,-4425] 2 [71:527:1] 21315w2 [1,0,0,685,-21330] 2 [27:117:1]
21315x (4 curves)	1	3- 5- 7- 29-	-1 3- 5- 7- -4  2 -2 -4
Curve Equation t Generators 21315x1 [1,0,0,1420,-31473] 2 [27:150:1] 21315x2 [1,0,0,-10585,-336400] 4 [-73:257:1] 21315x3 [1,0,0,-53460,4457025] 4 [165:285:1] 21315x4 [1,0,0,-159790,-24597133] 2 [1174:36913:1]

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