Cremona's table of elliptic curves

4719 = 3 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
4719a (1 curve)	0	3+ 11- 13+	0 3+  2  3 11- 13+  2  7
Curve Equation t 4719a1 [0,-1,1,-887,19139] 1
4719b (1 curve)	0	3+ 11- 13+	0 3+  2 -5 11- 13+  2 -1
Curve Equation t 4719b1 [0,-1,1,-394137,-95108641] 1
4719c (2 curves)	0	3+ 11- 13+	1 3+  0  0 11- 13+  4  8
Curve Equation t 4719c1 [1,1,0,240,-1701] 2 4719c2 [1,1,0,-1575,-18762] 2
4719d (4 curves)	0	3+ 11- 13+	-1 3+  2  4 11- 13+ -2  0
Curve Equation t 4719d1 [1,1,1,58,386] 2 4719d2 [1,1,1,-547,4016] 4 4719d3 [1,1,1,-2362,-40996] 2 4719d4 [1,1,1,-8412,293448] 2
4719e (1 curve)	0	3+ 11- 13+	-2 3+  0  3 11- 13+ -8 -1
Curve Equation t 4719e1 [0,-1,1,-122008,26227860] 1
4719f (1 curve)	1	3+ 11- 13-	0 3+  2 -3 11- 13- -2 -7
Curve Equation t Generators 4719f1 [0,-1,1,-7,-12] 1 [8:19:1]
4719g (1 curve)	1	3+ 11- 13-	0 3+  2  5 11- 13- -2  1
Curve Equation t Generators 4719g1 [0,-1,1,-47690617,126780363258] 1 [9308:699445:1]
4719h (1 curve)	1	3+ 11- 13-	2 3+  0 -3 11- 13-  8  1
Curve Equation t Generators 4719h1 [0,-1,1,-1008,-19339] 1 [314:35:8]
4719i (2 curves)	1	3- 11- 13+	0 3-  0  1 11- 13+ -6  1
Curve Equation t Generators 4719i1 [0,1,1,-73,-269] 1 [11:19:1] 4719i2 [0,1,1,257,-1160] 1 [770:3233:125]
4719j (6 curves)	1	3- 11- 13+	1 3- -2  0 11- 13+  6  4
Curve Equation t Generators 4719j1 [1,0,1,-2907,-86759] 2 [77:345:1] 4719j2 [1,0,1,-51912,-4556015] 4 [7150:202437:8] 4719j3 [1,0,1,-830547,-291405149] 2 [222552902:2946422025:195112] 4719j4 [1,0,1,-57357,-3543245] 4 [362598742:10243046817:405224] 4719j5 [1,0,1,-364092,81851779] 2 [-320103:9297244:729] 4719j6 [1,0,1,162258,-24099209] 2 [800431096085339950:-25801682399716050523:942633335125000]
4719k (1 curve)	1	3- 11- 13+	-2 3- -2 -3 11- 13+  0  1
Curve Equation t Generators 4719k1 [0,1,1,-1184,15296] 1 [22:-20:1]
4719l (2 curves)	0	3- 11- 13-	0 3-  0 -1 11- 13-  6 -1
Curve Equation t 4719l1 [0,1,1,-8873,322262] 3 4719l2 [0,1,1,31057,1667903] 1
4719m (1 curve)	0	3- 11- 13-	2 3- -2  3 11- 13-  0 -1
Curve Equation t 4719m1 [0,1,1,-143304,-20932477] 1

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

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