Cremona's table of elliptic curves

84075 = 3 · 5² · 19 · 59

Class	r	Atkin-Lehner	Eigenvalues
84075a (2 curves)	1	3+ 5+ 19+ 59+	-1 3+ 5+  0 -6  0 -6 19+
Curve Equation t Generators 84075a1 [1,1,1,-14065663,19126595156] 2 [3654599650:104722933149:1092727] 84075a2 [1,1,1,11606712,81151053156] 2 [9810:1062432:1]
84075b (1 curve)	2	3+ 5+ 19+ 59-	0 3+ 5+ -5 -4 -1  4 19+
Curve Equation t Generators 84075b1 [0,-1,1,-233,1493] 1 [1:35:1]&[7:-13:1]
84075c (2 curves)	2	3+ 5+ 19- 59+	0 3+ 5+  1  0 -5  0 19-
Curve Equation t Generators 84075c1 [0,-1,1,2717,82218] 1 [-134:1421:8]&[-12:218:1] 84075c2 [0,-1,1,-25783,-3017157] 1 [207:687:1]&[3706:73421:8]
84075d (1 curve)	0	3+ 5+ 19- 59+	0 3+ 5+  5  0  5  8 19-
Curve Equation t 84075d1 [0,-1,1,-77738383,283329519168] 1
84075e (4 curves)	2	3+ 5+ 19- 59+	1 3+ 5+ -4  0 -6 -2 19-
Curve Equation t Generators 84075e1 [1,1,0,-1625,114000] 2 [-290:2995:8]&[-138:3033:8] 84075e2 [1,1,0,-46750,3859375] 4 [-1410:21355:8]&[-14:2131:1] 84075e3 [1,1,0,-68125,-52250] 2 [-230:1990:1]&[-110:2530:1] 84075e4 [1,1,0,-747375,248377500] 2 [500:-200:1]&[13790:504455:8]
84075f (1 curve)	0	3+ 5+ 19- 59+	-1 3+ 5+ -3  5 -5  0 19-
Curve Equation t 84075f1 [1,1,1,-3763,-90844] 1
84075g (1 curve)	0	3+ 5+ 19- 59+	2 3+ 5+  3 -4  7  6 19-
Curve Equation t 84075g1 [0,-1,1,-10508,480293] 1
84075h (1 curve)	0	3+ 5+ 19- 59+	-2 3+ 5+  5  3  3  4 19-
Curve Equation t 84075h1 [0,-1,1,-36458,-2668432] 1
84075i (2 curves)	1	3+ 5+ 19- 59-	-1 3+ 5+ -4  4  0 -6 19-
Curve Equation t Generators 84075i1 [1,1,1,-26077738,-17605552594] 2 [5434:31663:1] 84075i2 [1,1,1,-335590113,-2364328379844] 2 [-10830:9927:1]
84075j (1 curve)	0	3+ 5- 19- 59-	-2 3+ 5-  3 -1  3  0 19-
Curve Equation t 84075j1 [0,-1,1,-708,-33682] 1
84075k (1 curve)	0	3- 5+ 19+ 59+	0 3- 5+  1 -3 -2 -1 19+
Curve Equation t 84075k1 [0,1,1,-3783,-91906] 1
84075l (2 curves)	1	3- 5+ 19+ 59-	-1 3- 5+  0  6  4  2 19+
Curve Equation t Generators 84075l1 [1,0,0,-1913,21192] 2 [-47:112:1] 84075l2 [1,0,0,5462,146567] 2 [47:-736:1]
84075m (1 curve)	1	3- 5+ 19+ 59-	-1 3- 5+ -1 -2  1  5 19+
Curve Equation t Generators 84075m1 [1,0,0,-1584213,-767617458] 1 [7238311:44732407:4913]
84075n (2 curves)	1	3- 5+ 19+ 59-	-1 3- 5+  4  0  0 -6 19+
Curve Equation t Generators 84075n1 [1,0,0,-988,10967] 2 [41:179:1] 84075n2 [1,0,0,-3363,-62658] 2 [-33:129:1]
84075o (1 curve)	2	3- 5+ 19- 59-	-1 3- 5+ -5 -2 -3 -3 19-
Curve Equation t Generators 84075o1 [1,0,0,-8338,401417] 1 [272:4139:1]&[47:-361:1]
84075p (1 curve)	0	3- 5+ 19- 59-	2 3- 5+ -3 -1 -3  0 19-
Curve Equation t 84075p1 [0,1,1,-28,-281] 1
84075q (1 curve)	0	3- 5- 19- 59+	1 3- 5-  3  5  5  0 19-
Curve Equation t 84075q1 [1,0,1,-151,-727] 1
84075r (1 curve)	0	3- 5- 19- 59+	2 3- 5- -5  3 -3 -4 19-
Curve Equation t 84075r1 [0,1,1,-1458,-21931] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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