Cremona's table of elliptic curves

13090 = 2 · 5 · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
13090a (2 curves)	0	2+ 5+ 7+ 11+ 17-	2+ -2 5+ 7+ 11+  2 17-  8
Curve Equation t 13090a1 [1,0,1,-634,-6228] 2 13090a2 [1,0,1,-10154,-394644] 2
13090b (4 curves)	1	2+ 5+ 7+ 11- 17-	2+  0 5+ 7+ 11- -6 17- -4
Curve Equation t Generators 13090b1 [1,-1,0,-8870,43700] 2 [55816:280741:512] 13090b2 [1,-1,0,-90790,-10458444] 4 [-1330:1787:8] 13090b3 [1,-1,0,-1450790,-672234444] 2 [7407516:-466954315:1728] 13090b4 [1,-1,0,-41510,-21802700] 2 [910266:58553465:216]
13090c (1 curve)	0	2+ 5+ 7- 11+ 17+	2+  2 5+ 7- 11+ -3 17+  1
Curve Equation t 13090c1 [1,1,0,-67133,6704957] 1
13090d (2 curves)	1	2+ 5+ 7- 11+ 17-	2+  2 5+ 7- 11+  2 17- -2
Curve Equation t Generators 13090d1 [1,1,0,-5788643,6790460813] 2 [-1787:107815:1] 13090d2 [1,1,0,-99332163,380983249517] 2 [423399:43987612:27]
13090e (4 curves)	0	2+ 5+ 7- 11- 17-	2+ -2 5+ 7- 11-  2 17- -4
Curve Equation t 13090e1 [1,0,1,-42389,4305936] 6 13090e2 [1,0,1,-730209,240090632] 6 13090e3 [1,0,1,323196,-43843198] 2 13090e4 [1,0,1,-1542724,-381201534] 2
13090f (1 curve)	0	2+ 5- 7+ 11+ 17+	2+  3 5- 7+ 11+  5 17+ -5
Curve Equation t 13090f1 [1,-1,0,-7894,275828] 1
13090g (2 curves)	1	2+ 5- 7+ 11+ 17-	2+ -2 5- 7+ 11+ -2 17- -2
Curve Equation t Generators 13090g1 [1,0,1,-20863,1293906] 2 [-50:1512:1] 13090g2 [1,0,1,-344543,77811858] 2 [324:305:1]
13090h (4 curves)	1	2+ 5- 7- 11+ 17+	2+  0 5- 7- 11+  2 17+  0
Curve Equation t Generators 13090h1 [1,-1,0,-329,3773] 2 [14:35:1] 13090h2 [1,-1,0,-6109,185265] 4 [29:164:1] 13090h3 [1,-1,0,-6959,131035] 2 [19:64:1] 13090h4 [1,-1,0,-97739,11785623] 2 [183:-39:1]
13090i (1 curve)	0	2+ 5- 7- 11+ 17-	2+  2 5- 7- 11+ -1 17-  7
Curve Equation t 13090i1 [1,1,0,25548,560624] 1
13090j (2 curves)	0	2- 5+ 7+ 11+ 17+	2-  0 5+ 7+ 11+ -2 17+  6
Curve Equation t 13090j1 [1,-1,1,-568633,-164928423] 2 13090j2 [1,-1,1,-9098553,-10561194919] 2
13090k (1 curve)	0	2- 5+ 7+ 11+ 17+	2-  2 5+ 7+ 11+  1 17+  7
Curve Equation t 13090k1 [1,1,1,-9946,656743] 1
13090l (2 curves)	0	2- 5+ 7- 11+ 17-	2- -2 5+ 7- 11+  5 17-  5
Curve Equation t 13090l1 [1,0,0,19194,253540] 3 13090l2 [1,0,0,-231046,-48356124] 1
13090m (2 curves)	0	2- 5+ 7- 11- 17+	2- -2 5+ 7- 11- -1 17+  5
Curve Equation t 13090m1 [1,0,0,-11,121] 3 13090m2 [1,0,0,99,-3245] 1
13090n (4 curves)	1	2- 5- 7+ 11- 17-	2-  0 5- 7+ 11- -2 17- -4
Curve Equation t Generators 13090n1 [1,-1,1,-142,-611] 2 [29:123:1] 13090n2 [1,-1,1,-222,221] 4 [-1:21:1] 13090n3 [1,-1,1,-2602,51629] 4 [33:13:1] 13090n4 [1,-1,1,878,1101] 2 [109:1121:1]

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

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