Cremona's table of elliptic curves

12450 = 2 · 3 · 5² · 83

Class	r	Atkin-Lehner	Eigenvalues
12450a (2 curves)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  4 -4  4  6  0
Curve Equation t Generators 12450a1 [1,1,0,-87875,9778125] 2 [105:1260:1] 12450a2 [1,1,0,12125,30878125] 2 [14835:378020:27]
12450b (2 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+ -2  0 -2 -2  4
Curve Equation t 12450b1 [1,1,0,-750,-36000] 2 12450b2 [1,1,0,-21500,-1218750] 2
12450c (1 curve)	0	2+ 3+ 5+ 83-	2+ 3+ 5+ -2 -6  1  4  4
Curve Equation t 12450c1 [1,1,0,-100,-560] 1
12450d (1 curve)	1	2+ 3+ 5- 83-	2+ 3+ 5-  3 -1 -4  3  6
Curve Equation t Generators 12450d1 [1,1,0,1300,24000] 1 [35:320:1]
12450e (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+ -2  4  6  2  8
Curve Equation t 12450e1 [1,0,1,-1376,19898] 2 12450e2 [1,0,1,-22126,1264898] 2
12450f (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  4 -2 -6 -4  2
Curve Equation t 12450f1 [1,0,1,-7743251,-8290691602] 2 12450f2 [1,0,1,-9023251,-5364611602] 2
12450g (1 curve)	0	2+ 3- 5+ 83+	2+ 3- 5+  5 -5  4  1 -6
Curve Equation t 12450g1 [1,0,1,-11576,545798] 1
12450h (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0 -2  4  0 -6
Curve Equation t Generators 12450h1 [1,0,1,-1001,-10852] 2 [-18:46:1] 12450h2 [1,0,1,1499,-55852] 2 [37:206:1]
12450i (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  1 -1 -4  3  0
Curve Equation t Generators 12450i1 [1,0,1,-16,158] 1 [1:11:1]
12450j (2 curves)	1	2+ 3- 5- 83+	2+ 3- 5- -1  3 -4 -3 -4
Curve Equation t Generators 12450j1 [1,0,1,-13201,586148] 3 [-29:986:1] 12450j2 [1,0,1,37424,3133598] 1 [121:3011:1]
12450k (1 curve)	1	2+ 3- 5- 83+	2+ 3- 5-  3  3  0 -3 -8
Curve Equation t Generators 12450k1 [1,0,1,-326,-5452] 1 [27:61:1]
12450l (2 curves)	0	2+ 3- 5- 83-	2+ 3- 5-  0  6  2  2 -4
Curve Equation t 12450l1 [1,0,1,-3540701,2565629048] 2 12450l2 [1,0,1,-56660701,164156669048] 2
12450m (1 curve)	0	2- 3+ 5+ 83+	2- 3+ 5+  4  3  6  4 -3
Curve Equation t 12450m1 [1,1,1,-213,3531] 1
12450n (4 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  0  0  6 -6  4
Curve Equation t Generators 12450n1 [1,1,1,2641037,-522464719] 4 [660615:4480594:3375] 12450n2 [1,1,1,-11136963,-4297636719] 4 [40063752941485:132915247916508:11375444249] 12450n3 [1,1,1,-140824463,-642619511719] 2 [143402366049524271885:-277219403171823563627344:38392124340375] 12450n4 [1,1,1,-101897463,392688790281] 2 [143785202068935593115:-277959798114535885166156:38494639972125]
12450o (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  0  6 -6  0 -2
Curve Equation t Generators 12450o1 [1,1,1,-5463,140781] 2 [15:242:1] 12450o2 [1,1,1,-85463,9580781] 2 [65:2042:1]
12450p (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  1  3  4  3 -4
Curve Equation t Generators 12450p1 [1,1,1,-330013,73268531] 1 [341:558:1] 12450p2 [1,1,1,935612,391699781] 1 [989:-48303:1]
12450q (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+ -3  3  0  3 -8
Curve Equation t Generators 12450q1 [1,1,1,-13,-49] 1 [11:30:1]
12450r (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+ -4  0  0  2  0
Curve Equation t Generators 12450r1 [1,1,1,-113,-469] 2 [35:182:1] 12450r2 [1,1,1,137,-1969] 2 [270:1511:8]
12450s (2 curves)	1	2- 3+ 5- 83+	2- 3+ 5-  0  6 -2 -2 -4
Curve Equation t Generators 12450s1 [1,1,1,-141628,20468381] 2 [205:217:1] 12450s2 [1,1,1,-2266428,1312346781] 2 [565:14297:1]
12450t (1 curve)	1	2- 3+ 5- 83+	2- 3+ 5- -1 -1  4 -3  0
Curve Equation t Generators 12450t1 [1,1,1,-388,19781] 1 [35:-243:1]
12450u (1 curve)	2	2- 3+ 5- 83-	2- 3+ 5- -5 -5 -4 -1 -6
Curve Equation t Generators 12450u1 [1,1,1,-463,4181] 1 [-9515:116922:1331]&[115:-1278:1]
12450v (4 curves)	1	2- 3- 5+ 83+	2- 3- 5+  0  0 -6 -6  4
Curve Equation t Generators 12450v1 [1,0,0,-11338,-457708] 2 [-58:104:1] 12450v2 [1,0,0,-23838,729792] 4 [192:1704:1] 12450v3 [1,0,0,-327588,72111042] 2 [2886:6207:8] 12450v4 [1,0,0,79912,5398542] 2 [5318:147515:8]
12450w (4 curves)	1	2- 3- 5+ 83+	2- 3- 5+  0 -4 -2  6  0
Curve Equation t Generators 12450w1 [1,0,0,-165713,11397417] 2 [-278:6139:1] 12450w2 [1,0,0,-2213713,1266821417] 4 [-58:37379:1] 12450w3 [1,0,0,-35413713,81112821417] 2 [3132:28809:1] 12450w4 [1,0,0,-1781713,1776149417] 2 [38:41315:1]
12450x (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+ -3 -1  4 -3  6
Curve Equation t Generators 12450x1 [1,0,0,52,192] 1 [-2:10:1]
12450y (4 curves)	1	2- 3- 5+ 83+	2- 3- 5+ -4  4 -2 -2  0
Curve Equation t Generators 12450y1 [1,0,0,1412,11792] 4 [-4:80:1] 12450y2 [1,0,0,-6588,99792] 4 [-78:414:1] 12450y3 [1,0,0,-51588,-4445208] 2 [-138:294:1] 12450y4 [1,0,0,-89588,10308792] 2 [82:1834:1]
12450z (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+  4  2  2  0  6
Curve Equation t 12450z1 [1,0,0,-463,-583] 2 12450z2 [1,0,0,-5463,-155583] 2
12450ba (1 curve)	0	2- 3- 5- 83+	2- 3- 5-  2 -6 -1 -4  4
Curve Equation t 12450ba1 [1,0,0,-2513,-64983] 1

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