Cremona's table of elliptic curves

13195 = 5 · 7 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
13195a (1 curve)	1	5+ 7+ 13+ 29+	0  2 5+ 7+  3 13+ -4 -8
Curve Equation t Generators 13195a1 [0,-1,1,-21,61] 1 [5:7:1]
13195b (2 curves)	1	5+ 7+ 13- 29-	-1 -2 5+ 7+  2 13-  0 -2
Curve Equation t Generators 13195b1 [1,0,0,-23211,1358896] 2 [85:1:1] 13195b2 [1,0,0,-371356,87072195] 2 [363:186:1]
13195c (1 curve)	2	5+ 7- 13+ 29+	0 -1 5+ 7-  0 13+ -2 -7
Curve Equation t Generators 13195c1 [0,-1,1,-2031,39087] 1 [-41:227:1]&[1:192:1]
13195d (2 curves)	0	5+ 7- 13+ 29+	-1  2 5+ 7- -6 13+ -6 -6
Curve Equation t 13195d1 [1,1,1,-118369871,-495290751332] 2 13195d2 [1,1,1,-89545866,-742508477416] 2
13195e (4 curves)	1	5+ 7- 13+ 29-	1  0 5+ 7-  0 13+  2  4
Curve Equation t Generators 13195e1 [1,-1,0,-35,280] 2 [552:2108:27] 13195e2 [1,-1,0,-880,10251] 4 [82:655:1] 13195e3 [1,-1,0,-1205,2256] 2 [-28:130:1] 13195e4 [1,-1,0,-14075,646250] 2 [838:4057:8]
13195f (1 curve)	1	5+ 7- 13+ 29-	-2  0 5+ 7-  3 13+ -4 -2
Curve Equation t Generators 13195f1 [0,0,1,-563,-5142] 1 [39:179:1]
13195g (2 curves)	1	5+ 7- 13- 29+	0  1 5+ 7-  0 13- -6 -1
Curve Equation t Generators 13195g1 [0,1,1,-761,10795] 3 [-1:107:1] 13195g2 [0,1,1,5999,-136404] 1 [42:437:1]
13195h (2 curves)	2	5+ 7- 13- 29-	-1 -2 5+ 7- -2 13- -4 -2
Curve Equation t Generators 13195h1 [1,0,0,-76,-249] 2 [-5:6:1]&[19:63:1] 13195h2 [1,0,0,-221,940] 2 [-11:51:1]&[-4:44:1]
13195i (2 curves)	0	5- 7- 13- 29+	1 -2 5- 7-  2 13-  6 -2
Curve Equation t 13195i1 [1,0,1,-1123,-14559] 2 13195i2 [1,0,1,-878,-21027] 2
13195j (4 curves)	1	5- 7- 13- 29-	-1  0 5- 7-  0 13-  2  0
Curve Equation t Generators 13195j1 [1,-1,1,-29272,1930194] 4 [-93:2006:1] 13195j2 [1,-1,1,-41277,206276] 4 [-24:1099:1] 13195j3 [1,-1,1,-439402,-111587224] 2 [-394:704:1] 13195j4 [1,-1,1,164768,1524964] 4 [1397:53676:1]

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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