Cremona's table of elliptic curves

8710 = 2 · 5 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
8710a (2 curves)	1	2+ 5+ 13+ 67+	2+  2 5+  0 -2 13+ -2  8
Curve Equation t Generators 8710a1 [1,1,0,-78,32] 2 [-1:11:1] 8710a2 [1,1,0,-748,-8142] 2 [-429:400:27]
8710b (4 curves)	0	2+ 5+ 13+ 67-	2+  0 5+  0  4 13+  2  4
Curve Equation t 8710b1 [1,-1,0,-76040,-12298944] 2 8710b2 [1,-1,0,-1386760,-628075200] 4 8710b3 [1,-1,0,-22186760,-40218795200] 2 8710b4 [1,-1,0,-1558280,-462764224] 2
8710c (1 curve)	2	2+ 5+ 13+ 67-	2+  0 5+ -3 -2 13+  2 -5
Curve Equation t Generators 8710c1 [1,-1,0,-35,85] 1 [-3:14:1]&[-2:13:1]
8710d (1 curve)	0	2+ 5+ 13- 67+	2+  0 5+  1 -3 13-  2 -6
Curve Equation t 8710d1 [1,-1,0,-44540,-3616944] 1
8710e (2 curves)	0	2+ 5+ 13- 67+	2+  0 5+  4  0 13-  2  6
Curve Equation t 8710e1 [1,-1,0,-65,425] 2 8710e2 [1,-1,0,-1315,18675] 2
8710f (1 curve)	1	2+ 5- 13+ 67-	2+  0 5-  1 -2 13+  6 -1
Curve Equation t Generators 8710f1 [1,-1,0,-36494,2692500] 1 [116:42:1]
8710g (1 curve)	1	2+ 5- 13+ 67-	2+ -2 5- -1 -2 13+  0  7
Curve Equation t Generators 8710g1 [1,0,1,-8177918,-1933813392] 1 [5349:325005:1]
8710h (3 curves)	2	2+ 5- 13- 67-	2+ -2 5- -1 -6 13-  0 -7
Curve Equation t Generators 8710h1 [1,0,1,-1528,22506] 3 [-33:209:1]&[-20:222:1] 8710h2 [1,0,1,-13403,-587994] 3 [-73:88:1]&[-68:134:1] 8710h3 [1,0,1,-1080378,-432316564] 1 [1341:22369:1]&[-38412:19177:64]
8710i (2 curves)	1	2- 5+ 13+ 67-	2- -2 5+ -4  2 13+ -6 -2
Curve Equation t Generators 8710i1 [1,0,0,-32691,1944145] 2 [-64:1975:1] 8710i2 [1,0,0,57089,10760541] 2 [70:3851:1]
8710j (2 curves)	0	2- 5- 13+ 67-	2-  0 5-  4  4 13+ -6  2
Curve Equation t 8710j1 [1,-1,1,2213,-25589] 2 8710j2 [1,-1,1,-10587,-215029] 2
8710k (1 curve)	0	2- 5- 13- 67+	2-  0 5-  3  3 13-  2 -2
Curve Equation t 8710k1 [1,-1,1,-1694011867,-26836111752341] 1
8710l (1 curve)	0	2- 5- 13- 67+	2-  0 5-  3 -6 13-  2  7
Curve Equation t 8710l1 [1,-1,1,-592,5671] 1
8710m (2 curves)	0	2- 5- 13- 67+	2-  2 5-  0  2 13- -2  4
Curve Equation t 8710m1 [1,1,1,-163410455,-804089976275] 2 8710m2 [1,1,1,-163453335,-803646922963] 2
8710n (1 curve)	0	2- 5- 13- 67+	2-  2 5-  5  2 13-  8 -1
Curve Equation t 8710n1 [1,1,1,-50,115] 1

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