Cremona's table of elliptic curves

2170 = 2 · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
2170a (2 curves)	1	2+ 5+ 7+ 31+	2+ -2 5+ 7+  0  6 -4 -8
Curve Equation t Generators 2170a1 [1,0,1,11,12] 2 [1:4:1] 2170a2 [1,0,1,-59,96] 2 [-6:18:1]
2170b (1 curve)	1	2+ 5+ 7+ 31+	2+  3 5+ 7+ -5  1 -4 -3
Curve Equation t Generators 2170b1 [1,-1,0,-17795380,-26795210800] 1 [-3113899400119990843833752859:44000453541918792826856781038:1564514271395209590176547]
2170c (3 curves)	1	2+ 5+ 7- 31-	2+  1 5+ 7-  3  5 -6 -7
Curve Equation t Generators 2170c1 [1,0,1,-589,5446] 3 [5760:23093:729] 2170c2 [1,0,1,-654,4152] 3 [-12:107:1] 2170c3 [1,0,1,-21269,-1195424] 1 [-18030:10357:216]
2170d (1 curve)	0	2+ 5- 7+ 31+	2+  3 5- 7+ -1 -1  6  3
Curve Equation t 2170d1 [1,-1,0,-124,560] 1
2170e (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7-  1  1 -8  7
Curve Equation t Generators 2170e1 [1,1,0,-87,259] 1 [-5:27:1]
2170f (2 curves)	0	2+ 5- 7- 31-	2+  1 5- 7-  3 -1  0 -1
Curve Equation t 2170f1 [1,0,1,-1443,20958] 3 2170f2 [1,0,1,-4418,-88172] 1
2170g (2 curves)	0	2+ 5- 7- 31-	2+  2 5- 7-  0  2  4  4
Curve Equation t 2170g1 [1,1,0,-2,-76] 2 2170g2 [1,1,0,-282,-1924] 2
2170h (4 curves)	0	2+ 5- 7- 31-	2+ -2 5- 7-  0  2  0 -4
Curve Equation t 2170h1 [1,0,1,6432,309806] 6 2170h2 [1,0,1,-48448,3295278] 6 2170h3 [1,0,1,-60943,-11151294] 2 2170h4 [1,0,1,-1207823,-510732222] 2
2170i (2 curves)	0	2- 5+ 7+ 31+	2-  0 5+ 7+  4  4  2  0
Curve Equation t 2170i1 [1,-1,1,447107,7605957] 2 2170i2 [1,-1,1,-1792893,62261957] 2
2170j (2 curves)	1	2- 5+ 7+ 31-	2-  0 5+ 7+ -2  6 -4  0
Curve Equation t Generators 2170j1 [1,-1,1,-1993,74057] 2 [-37:328:1] 2170j2 [1,-1,1,-41193,3225737] 2 [107:132:1]
2170k (1 curve)	1	2- 5+ 7- 31+	2-  1 5+ 7- -5 -5  0  1
Curve Equation t Generators 2170k1 [1,0,0,-6,-4] 1 [-2:2:1]
2170l (2 curves)	1	2- 5+ 7- 31+	2- -2 5+ 7- -2  4 -6  4
Curve Equation t Generators 2170l1 [1,0,0,-2716,176400] 2 [56:-476:1] 2170l2 [1,0,0,-66716,6614800] 2 [58:1686:1]
2170m (2 curves)	0	2- 5+ 7- 31-	2-  0 5+ 7-  2 -2  0  8
Curve Equation t 2170m1 [1,-1,1,-163,-769] 2 2170m2 [1,-1,1,-2613,-50749] 2
2170n (4 curves)	0	2- 5+ 7- 31-	2- -2 5+ 7-  6  2 -6 -4
Curve Equation t 2170n1 [1,0,0,-126,-18620] 6 2170n2 [1,0,0,-11326,-459900] 6 2170n3 [1,0,0,-57166,-5265804] 2 2170n4 [1,0,0,-914666,-336775304] 2
2170o (1 curve)	1	2- 5- 7+ 31+	2- -3 5- 7+  1 -5 -4  3
Curve Equation t Generators 2170o1 [1,-1,1,-282,1881] 1 [1:39:1]
2170p (2 curves)	0	2- 5- 7- 31+	2-  2 5- 7-  6  0 -6  0
Curve Equation t 2170p1 [1,1,1,15,-85] 2 2170p2 [1,1,1,-235,-1385] 2
2170q (2 curves)	1	2- 5- 7- 31-	2- -1 5- 7- -3 -1 -2 -5
Curve Equation t Generators 2170q1 [1,1,1,-9995,-160455] 5 [-87:288:1] 2170q2 [1,1,1,-5149395,-4499762135] 1 [-35385:17680:27]

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

Part of Computational Number Theory
Back to Tables and computations