Cremona's table of elliptic curves

11715 = 3 · 5 · 11 · 71

Class	r	Atkin-Lehner	Eigenvalues
11715a (2 curves)	1	3+ 5+ 11+ 71+	-1 3+ 5+  0 11+ -2  4 -4
Curve Equation t Generators 11715a1 [1,1,1,-551,4748] 2 [2:59:1] 11715a2 [1,1,1,-496,5804] 2 [4:60:1]
11715b (2 curves)	2	3+ 5+ 11- 71+	-1 3+ 5+  0 11- -4 -6  0
Curve Equation t Generators 11715b1 [1,1,1,134,134] 2 [4:25:1]&[19:90:1] 11715b2 [1,1,1,-541,404] 2 [-24:28:1]&[-17:79:1]
11715c (2 curves)	1	3+ 5+ 11- 71-	1 3+ 5+ -4 11-  2  0  0
Curve Equation t Generators 11715c1 [1,1,0,-18,-33] 2 [14:45:1] 11715c2 [1,1,0,37,-132] 2 [4:8:1]
11715d (4 curves)	1	3+ 5- 11+ 71-	1 3+ 5-  0 11+  2 -2  0
Curve Equation t Generators 11715d1 [1,1,0,-1422,-34569] 2 [330:5799:1] 11715d2 [1,1,0,-26627,-1682976] 4 [688:17156:1] 11715d3 [1,1,0,-426002,-107197851] 2 [6782:91879:8] 11715d4 [1,1,0,-30532,-1162049] 2 [222:1639:1]
11715e (1 curve)	1	3+ 5- 11- 71+	0 3+ 5-  2 11- -2  7 -2
Curve Equation t Generators 11715e1 [0,-1,1,55,473] 1 [-3:16:1]
11715f (1 curve)	1	3- 5+ 11- 71+	0 3- 5+ -2 11- -2  7 -6
Curve Equation t Generators 11715f1 [0,1,1,-71,-715] 1 [309:260:27]
11715g (2 curves)	2	3- 5+ 11- 71-	-1 3- 5+ -4 11- -4 -2 -8
Curve Equation t Generators 11715g1 [1,0,0,-226,5555] 2 [-17:76:1]&[-7:86:1] 11715g2 [1,0,0,-6301,191450] 2 [1318:-15905:8]&[19:271:1]
11715h (1 curve)	1	3- 5- 11+ 71+	2 3- 5- -2 11+ -4  1  4
Curve Equation t Generators 11715h1 [0,1,1,1110,-31231] 1 [23406:253007:216]
11715i (2 curves)	1	3- 5- 11- 71-	-2 3- 5- -2 11-  4  3  0
Curve Equation t Generators 11715i1 [0,1,1,7360,150806] 5 [25:592:1] 11715i2 [0,1,1,-650090,-202189354] 1 [9448:914941:1]

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

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